{
  "visual_id": "E49-projected-canonical",
  "title": "Exact particle numbers and compatible variational comparisons",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20261002T031242741570Z-E35-projected-canonical-comparison"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20261002T031242741570Z-E35-projected-canonical-comparison/results.json",
      "sha256": "8d5bba60f1b3685dc0c217b076744129dd5d0013769b0a8c2f1923b0b4035a23"
    }
  ],
  "configurations": {
    "E35-projected-canonical-comparison": {
      "parents": [
        "20261002T030648590091Z-E35-projected-pair-competition",
        "20261002T030745080640Z-E35-projected-pair-competition"
      ],
      "failed_refinement": "20261002T030923826919Z-E35-projected-pair-refinement",
      "selection": "lowest sampled valid pure-state energy; optimizer convergence not assumed",
      "finite_difference_gradient_gate": 2e-06,
      "wall_budget_seconds": 550,
      "hard_alarm_seconds": 600
    }
  },
  "assumptions": {
    "E35-projected-canonical-comparison": [
      "All comparisons share the exact same L2 A/B Hamiltonian and fixed Np=Nn2 sector within each family.",
      "Pure number-projected trial entropy is zero; E_trial>=E_ground>=F_exact(T). Thermal kinetic Gibbs reference is separately exactly number projected.",
      "Only valid finite sampled pure states enter accepted bounds. Failed refinement and unconverged starts remain explicit numerical work.",
      "Q0 ground-eigenspace projector and local on-site quartet are distinct observables; neither is a measured physical alpha abundance."
    ]
  },
  "plotted_values": {
    "path": "E49-projected-canonical-data.json",
    "sha256": "5884a30c838d70b8d9cf098b0890250fc086f09f0529b9d59f517df9c4d91866"
  },
  "caption": "Every curve uses the same finite-box Hamiltonian and exact proton/neutron numbers as its canonical reference. Four-particle Pfaffians project pure Gaussian trials; their entropy is zero. The displayed pure-pair state is the lowest valid sampled trial, with a nonzero optimization gradient; it is not a stationary minimum. Complete fixed-charge traces provide the exact canonical baseline. These upper bounds and internal-ground projectors do not give projected mixed-state pair entropy, a thermodynamic phase boundary or a comparison with the different L=3 mean-number ensemble.",
  "alt_text": "Both projected trial families lie above the exact canonical free energy in each Hamiltonian at every tested temperature.",
  "generator": "src/metastable/public_report.py",
  "generator_sha256": "9e263878b7237d781a41d94693004412279b5cfa808ccd6e335b7b07269910d4",
  "generator_dependencies_sha256": {
    "src/metastable/render.py": "ff4837be5102588b6614aeb2b7880b10c0a0c20a155e2eb7b409014a47a3de01",
    "src/metastable/spin_report.py": "dd5c64c5c658938948672a7dc767aa02c34dde012c3fc4aedfc3642f88796847",
    "src/metastable/continuation_report.py": "f9bbce6d0e201a9f55c826d6e9c47ab901e51a71b4a1f962b52eb08a63ba5fe9",
    "src/metastable/refinement_report.py": "4539c0ec814603105ab3a2b5cc82ce291c0151113b5bd3916cdc235aadb9bfb0",
    "src/metastable/atomic_mass_report.py": "46dd1cdb56a5a02cafe001a1f6a7fb201e149461850df41e012f77a580c3694b",
    "src/metastable/closure_report.py": "b34a03a9e0058eed65722df542dbb92691dd138787e2078b43ee9f18e221f75c",
    "src/metastable/october_report.py": "f93e7f89e43165d8d25e2184b9b32e6e21c3e1ffe66020d35944f263aaecb726",
    "src/metastable/october_followup_report.py": "925d905ff3bddf97a7ace2f68a4a28e7dfea2238c4f81d891dda2a9e70c6d4f6",
    "src/metastable/october_dynamics_report.py": "6b8d84c0ce0d78f52d064c68697f0d9c885cdc736e215b54eba46821dbe59a33",
    "src/metastable/october_calibration_report.py": "f714ef7ccfaa26e847c6135054f53528b3ff1d7096e7d113cffeea333e77e3d2",
    "src/metastable/october_interface_report.py": "2fc8826a33c952d7898154f84830748c26842c9a165d14aa7b7fb9721fac00bd",
    "src/metastable/october_checkpoint8_report.py": "f3b54f23510b9bfeffc5ff04e6df54e967228f43ba25a15e12e34f898cdfe0af",
    "src/metastable/october_checkpoint9_report.py": "4bd987aac59964ccb4768a95e0cb6f7d1fdccbeffe9483860da7b431f2224ae4",
    "src/metastable/october_checkpoint10_report.py": "9da673d773b63298e041914447ffd97065c1cf2b8966c90fc4ebcbee25a0ed63",
    "src/metastable/october_checkpoint11_report.py": "5f01064f02f4c76d0059d348a763b285c92c3677e6cb0ba0bbf7faa1a4b98248",
    "src/metastable/october_checkpoint12_report.py": "46022030652e3a1e274dfd27b36dfab25d90a97fde439b1da44d6f1fdc5140b5",
    "src/metastable/october_checkpoint13_report.py": "997c59be3af1b6b7be95fd4314e0f3b98c562629901a639572284045a65980c2",
    "src/metastable/october_checkpoint14_report.py": "d84de7d8516d8a4d8e21b5f9f279476f3035f719c1c8ab03b7ac1e44bf822240",
    "src/metastable/october_checkpoint15_report.py": "1f6e17b9549dc31fbb58ba578c4d8ed8e219b4ad30810df0a9d7d2d00e63efdc",
    "src/metastable/october_checkpoint16_report.py": "74cb8aac45d1d5ce0e6eb6678e9b6cdf98cd46fd6e264a513b612ab763fcd034",
    "src/metastable/october_checkpoint17_report.py": "9daceb74e91f6f8db0f7d89929226d46c464c284d06d0694f525fecf0c736bf6",
    "src/metastable/october_checkpoint18_report.py": "f33f88e316cae93af87cef75d8df41ce82970c8f8bc466dd7a094a92c5f00f8b",
    "src/metastable/october_checkpoint19_report.py": "ce2250507145354b6478cafaaff98c2b8ae2795c3c309f0d903a920365a77090",
    "src/metastable/october_checkpoint20_report.py": "e2ea0a8a374036254008cf6de8f10352dfb2585c4ccb18c1e850c017e6128294",
    "src/metastable/october_checkpoint21_report.py": "596b873676167227b2c92d358fcdbc0614908a5a9daad1da6227b81fce203eec",
    "src/metastable/publication_files.py": "e68bd0ee4e849a72fa828f0cfcf34cb6b1b9f2a8bbdbb3d51085054915039607"
  },
  "command": "python run.py full public-report",
  "output_sha256": {
    "svg": "74694068d037abfeb6745957f4814e318fcdca0a774993007fe4baec7bea06e4",
    "png": "81c782cfb9c2308954d20b0ecb8f94ef2e25dd6c75838e2b2def9d01230ef892"
  }
}