{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PUVHHUKZCDKYU3LSJS3PZ6SWMG","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":"8fb301db317e2a9e82eea8e727b91462ca0fabc772390a4c6ad2eae572c9e2b7","cross_cats_sorted":["math-ph","math.MP","nlin.PS","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-16T11:58:51Z","title_canon_sha256":"fbbf92cb5d8322291bdfaa68a0bebc49dfe61e17903c4221c3a6adf6be2dfaca"},"schema_version":"1.0","source":{"id":"2412.11686","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11686","created_at":"2026-07-05T10:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11686v3","created_at":"2026-07-05T10:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11686","created_at":"2026-07-05T10:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"PUVHHUKZCDKY","created_at":"2026-07-05T10:45:58Z"},{"alias_kind":"pith_short_16","alias_value":"PUVHHUKZCDKYU3LS","created_at":"2026-07-05T10:45:58Z"},{"alias_kind":"pith_short_8","alias_value":"PUVHHUKZ","created_at":"2026-07-05T10:45:58Z"}],"graph_snapshots":[{"event_id":"sha256:e2d1094f6d685a40c142b43f1f5a4ae25586ba363b292887c893c0b2c16c5763","target":"graph","created_at":"2026-07-05T10:45:58Z","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/2412.11686/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The emptiness formation problem is addressed for a one-dimensional quantum polytropic gas characterized by an arbitrary polytropic index $\\gamma$, which defines the equation of state $P \\sim \\rho^\\gamma$, where $P$ is the pressure and $\\rho$ is the density. The problem involves determining the probability of the spontaneous formation of an empty interval in the ground state of the gas. In the limit of a macroscopically large interval, this probability is dominated by an instanton configuration. By solving the hydrodynamic equations in imaginary time, we derive the analytic form of the emptines","authors_text":"Alexander G. Abanov, Dimitri M. Gangardt","cross_cats":["math-ph","math.MP","nlin.PS","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-16T11:58:51Z","title":"Emptiness Instanton in Quantum Polytropic Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11686","kind":"arxiv","version":3},"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:f8e4e71f00541ce934f3a278bf2ca275c8c44d5006d7edaff0ed526cf49ebd9a","target":"record","created_at":"2026-07-05T10:45:58Z","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":"8fb301db317e2a9e82eea8e727b91462ca0fabc772390a4c6ad2eae572c9e2b7","cross_cats_sorted":["math-ph","math.MP","nlin.PS","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-16T11:58:51Z","title_canon_sha256":"fbbf92cb5d8322291bdfaa68a0bebc49dfe61e17903c4221c3a6adf6be2dfaca"},"schema_version":"1.0","source":{"id":"2412.11686","kind":"arxiv","version":3}},"canonical_sha256":"7d2a73d15910d58a6d724cb6fcfa5661aaf5b85555d00a09c51713cff59836a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d2a73d15910d58a6d724cb6fcfa5661aaf5b85555d00a09c51713cff59836a5","first_computed_at":"2026-07-05T10:45:58.454264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:58.454264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zYIQs3i1GAqyGEXpfZZFetvVNiJHfwAgmtEIqDczw0D+65aw5esJ+hRQPWJH2HJY5ZBzvUjvNRuKM9g324vjCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:58.454768Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.11686","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8e4e71f00541ce934f3a278bf2ca275c8c44d5006d7edaff0ed526cf49ebd9a","sha256:e2d1094f6d685a40c142b43f1f5a4ae25586ba363b292887c893c0b2c16c5763"],"state_sha256":"e900b176e55a8308052acf35d4c783833f32f8d5b324c135e9ea8041d9d56f99"}