{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2NAXLIG2PAWKR7UBOYSG5FY3SV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ada54c59f025c85489fc2a384e846b59cb01779777572dee3a68a2c721bdd0f6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T11:58:14Z","title_canon_sha256":"654712fbb6ee3b4d6bdcc0251157337a9fb5dcd8e7626256258ee221edf174c7"},"schema_version":"1.0","source":{"id":"1109.5846","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5846","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5846v2","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5846","created_at":"2026-05-18T03:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"2NAXLIG2PAWK","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2NAXLIG2PAWKR7UB","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2NAXLIG2","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:c4e79a3762b97fd5baca03bb101af3fe2dc534986487cab7128556139431349e","target":"graph","created_at":"2026-05-18T03:19:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The path-integral calculation for the free energy of a spin-1/2 Dirac-fermion gas is performed in spherical polar coordinates for a flat spacetime geometry. Its equivalence with the Cartesian-coordinate representation is explicitly established. This evaluation involves a relevant limiting case of the fermionic path integral in a Schwarzschild background, whose near-horizon limit has been shown to be related to black hole thermodynamics.","authors_text":"Andrew Briggs, Carlos R. Ordonez, Horacio E. Camblong","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T11:58:14Z","title":"Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5846","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:00e37afe7e1db38e242c9a46baacdec7eba5fd5c26170b5331f098ca2fc88bfa","target":"record","created_at":"2026-05-18T03:19:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ada54c59f025c85489fc2a384e846b59cb01779777572dee3a68a2c721bdd0f6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T11:58:14Z","title_canon_sha256":"654712fbb6ee3b4d6bdcc0251157337a9fb5dcd8e7626256258ee221edf174c7"},"schema_version":"1.0","source":{"id":"1109.5846","kind":"arxiv","version":2}},"canonical_sha256":"d34175a0da782ca8fe8176246e971b9579374383bfd81fe2a2a7689ab0fd7455","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d34175a0da782ca8fe8176246e971b9579374383bfd81fe2a2a7689ab0fd7455","first_computed_at":"2026-05-18T03:19:13.490807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:13.490807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xW9Lf37QFXTVTkpzmEwIWtHb9vmm/CV5ygMxgQMIOkh87+hOlSelmIMquZ+PW5FLEDjcryj9OZk7Tlk4NSWHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:13.491449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5846","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00e37afe7e1db38e242c9a46baacdec7eba5fd5c26170b5331f098ca2fc88bfa","sha256:c4e79a3762b97fd5baca03bb101af3fe2dc534986487cab7128556139431349e"],"state_sha256":"d0c0690e7a2f7234c078c7b2c611a50273d55a2b55d6ec64cf5d10fef4453b45"}