{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SGTU7CQJN4K43EHDJ7R3JUJYMA","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":"902645401074f900a9fc6a02332dca128dfe5a0ab4005e943a7df6fc2ead65c5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2021-12-27T14:27:33Z","title_canon_sha256":"ee7b593e278e175ea85e5151bad81309fc730d0ecdedafbda06f8ced52902fe8"},"schema_version":"1.0","source":{"id":"2112.13704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.13704","created_at":"2026-07-05T04:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"2112.13704v1","created_at":"2026-07-05T04:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.13704","created_at":"2026-07-05T04:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"SGTU7CQJN4K4","created_at":"2026-07-05T04:04:00Z"},{"alias_kind":"pith_short_16","alias_value":"SGTU7CQJN4K43EHD","created_at":"2026-07-05T04:04:00Z"},{"alias_kind":"pith_short_8","alias_value":"SGTU7CQJ","created_at":"2026-07-05T04:04:00Z"}],"graph_snapshots":[{"event_id":"sha256:bc6737c56b627d9d49d3fad7e445b76b5d23bce069ef9da0e545b8bc6b61d397","target":"graph","created_at":"2026-07-05T04:04:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.13704/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Equation of state with quantum statistics corrections is derived for systems of the Fermi and Bose particles by using their van der Waals (vdW) and effective density-dependent Skyrme mean-field interactions. First few orders of these corrections over the small quantum statistics parameter, $\\varepsilon \\approx \\hbar^3 n(mT)^{-3/2}g^{-1}$, where $n$ and $T$ are the particle number density and temperature, $m$ and $g$ the mass and degeneracy factor of particles, are analytically obtained. For interacting system of nucleon and $\\alpha$ - particles, a small impurity of $\\alpha$ - particles to a nu","authors_text":"A.G. Magner, S.N. Fedotkin, U.V. Grygoriev","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2021-12-27T14:27:33Z","title":"Quantum statistics effects near the critical point in systems with different inter-particle interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.13704","kind":"arxiv","version":1},"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":"sha256:2c73f0a8771c5231d2dfea88f2a5d98779d6d2321c25513f1bf59da05e314710","target":"record","created_at":"2026-07-05T04:04:00Z","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":"902645401074f900a9fc6a02332dca128dfe5a0ab4005e943a7df6fc2ead65c5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2021-12-27T14:27:33Z","title_canon_sha256":"ee7b593e278e175ea85e5151bad81309fc730d0ecdedafbda06f8ced52902fe8"},"schema_version":"1.0","source":{"id":"2112.13704","kind":"arxiv","version":1}},"canonical_sha256":"91a74f8a096f15cd90e34fe3b4d138602c070d1b9b3d76c8ed2eceb148054742","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91a74f8a096f15cd90e34fe3b4d138602c070d1b9b3d76c8ed2eceb148054742","first_computed_at":"2026-07-05T04:04:00.453265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:04:00.453265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UqH+zop5SULmRcHUg5meMoWbaNgqnx7Ih7Tc7okvQEfgE3fcCMxWulD8rfas1h7eU/cxUCtbR2PCHJu+262pCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:04:00.453616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.13704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c73f0a8771c5231d2dfea88f2a5d98779d6d2321c25513f1bf59da05e314710","sha256:bc6737c56b627d9d49d3fad7e445b76b5d23bce069ef9da0e545b8bc6b61d397"],"state_sha256":"2ff5109ec2581eaef5639ba9789362ff2cc728719bbab7984406832f0d16dbc0"}