{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DXWN2SGUR2MX2FZYUNMKNQCCFD","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":"a4c95573e8af7a51bf6a317ceb34258a95014aebbcabd915f434c93ad0e041e8","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:36:05Z","title_canon_sha256":"3912d3a8f29ea13af31faf9a842050523b0211282d81261ebe8d5c549f93b0ac"},"schema_version":"1.0","source":{"id":"1611.00792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00792","created_at":"2026-05-18T00:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00792v2","created_at":"2026-05-18T00:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00792","created_at":"2026-05-18T00:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"DXWN2SGUR2MX","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DXWN2SGUR2MX2FZY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DXWN2SGU","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:bcdc922066511c5fcda3c0004ffb4b971237b53f2ea2db7f11677fe498b416d5","target":"graph","created_at":"2026-05-18T00:52:08Z","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":"Poincare recurrence theorem states that any finite system will come arbitrary close to its initial state after some very long but finite time. At the statistical level, this by itself does not represent a paradox, but apparently violates the second law of thermodynamics, which may lead to some confusing conclusions for macroscopic systems. However, this statement does not take gravity into account. If two particles with a given center of mass energy come at the distance shorter than the Schwarzschild diameter apart, according to classical gravity they will form a black hole. In the classical c","authors_text":"Dejan Stojkovic, Ruifeng Dong","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:36:05Z","title":"Gravity can significantly modify classical and quantum Poincare recurrence theorems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00792","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":"sha256:2b34eab19df1da0be4dedaa663c055db42e6fd1f87deafabd8bcccdb75b27ca1","target":"record","created_at":"2026-05-18T00:52:08Z","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":"a4c95573e8af7a51bf6a317ceb34258a95014aebbcabd915f434c93ad0e041e8","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:36:05Z","title_canon_sha256":"3912d3a8f29ea13af31faf9a842050523b0211282d81261ebe8d5c549f93b0ac"},"schema_version":"1.0","source":{"id":"1611.00792","kind":"arxiv","version":2}},"canonical_sha256":"1decdd48d48e997d1738a358a6c04228c79fdbe663aedea90d9746cb114a6252","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1decdd48d48e997d1738a358a6c04228c79fdbe663aedea90d9746cb114a6252","first_computed_at":"2026-05-18T00:52:08.002031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:08.002031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DDnKOWMwuyVPaqNcNqcil+80kUxkI4nZ3QCFIMPqnCxNASu1AFgO8W5AoYZ0Kr+nm74xtAoL8WcImeT8vVmGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:08.002651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b34eab19df1da0be4dedaa663c055db42e6fd1f87deafabd8bcccdb75b27ca1","sha256:bcdc922066511c5fcda3c0004ffb4b971237b53f2ea2db7f11677fe498b416d5"],"state_sha256":"1e86a6707cc6fc74abf1fc32855e49978c7e11255a3fda6b1e0f4d0ddd1044af"}