{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GP6L4V2TI266FJU4BZGNKOAREY","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":"61fd83e25908dbb2baad5a7b8f18807dce8d15467cfe8469e3b6f8ec61ea7d76","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-09-21T19:09:15Z","title_canon_sha256":"77ee5e9bda6d923bc636356750f262a9a75d49de85e213f2de410b515993ed1f"},"schema_version":"1.0","source":{"id":"2409.14225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.14225","created_at":"2026-07-05T09:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"2409.14225v2","created_at":"2026-07-05T09:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.14225","created_at":"2026-07-05T09:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"GP6L4V2TI266","created_at":"2026-07-05T09:17:15Z"},{"alias_kind":"pith_short_16","alias_value":"GP6L4V2TI266FJU4","created_at":"2026-07-05T09:17:15Z"},{"alias_kind":"pith_short_8","alias_value":"GP6L4V2T","created_at":"2026-07-05T09:17:15Z"}],"graph_snapshots":[{"event_id":"sha256:33482164fc25dffe9d48eb93e1bc2eb7431c77bf42230280659a2d1b0d6782ef","target":"graph","created_at":"2026-07-05T09:17:15Z","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/2409.14225/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a counterexample to the Lagrangian Poincar\\'e recurrence conjecture of Ginzburg and Viterbo in all dimensions $6$ and greater.","authors_text":"Egor Shelukhin, Filip Bro\\'ci\\'c","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-09-21T19:09:15Z","title":"A counterexample to Lagrangian Poincar\\'e recurrence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.14225","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:ed3f3a0bca2fd2b1f783786fa8fa787fc03f0c7a3c8f2178cc1544ab7167b1f7","target":"record","created_at":"2026-07-05T09:17:15Z","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":"61fd83e25908dbb2baad5a7b8f18807dce8d15467cfe8469e3b6f8ec61ea7d76","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-09-21T19:09:15Z","title_canon_sha256":"77ee5e9bda6d923bc636356750f262a9a75d49de85e213f2de410b515993ed1f"},"schema_version":"1.0","source":{"id":"2409.14225","kind":"arxiv","version":2}},"canonical_sha256":"33fcbe575346bde2a69c0e4cd538112609310a3cbe57657eac4e5f9957e6bb96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33fcbe575346bde2a69c0e4cd538112609310a3cbe57657eac4e5f9957e6bb96","first_computed_at":"2026-07-05T09:17:15.586461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:17:15.586461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0SLNLjSkUt5Qf+CEU8LG9AAvE2KcMjPQDF+tHU6KcdDs7/e5lwD2pyyMuBxV4JW8nwcVLxkcabWK+f+udeWYAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:17:15.586880Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.14225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed3f3a0bca2fd2b1f783786fa8fa787fc03f0c7a3c8f2178cc1544ab7167b1f7","sha256:33482164fc25dffe9d48eb93e1bc2eb7431c77bf42230280659a2d1b0d6782ef"],"state_sha256":"bc0c04d066bb1340c200adea4e32d183e183cdf6cdd555538b1dca9a125ba79f"}