{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HYTUWMQ52OXQROGQP2KI7K3N3Z","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":"e1ebe36d4d668abf0aaba4edd5816b1263775d80002d94cfef9fed14ad2fe94a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-15T10:03:47Z","title_canon_sha256":"1202eda999c959858d2858f4ee16d6c8e91d86ba8a1eb472cb2e13d8fe13ffc3"},"schema_version":"1.0","source":{"id":"1112.3466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3466","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3466v1","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3466","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"HYTUWMQ52OXQ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HYTUWMQ52OXQROGQ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HYTUWMQ5","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:2ff99ac0fa8d0e3551567634f1c6a61722661cfa64f7915e75ff3aab09ea99f2","target":"graph","created_at":"2026-05-18T02:56:21Z","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":"In this short note we prove that if a symplectomorphism f is C1-stably shadowable, then f is Anosov. The same result is obtained for volume-preserving diffeomorphisms.","authors_text":"Mario Bessa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-15T10:03:47Z","title":"C1-stably shadowable conservative diffeomorphisms are Anosov"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3466","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:b65dcaeb07fcddbd0659f1fbe16b7258ec4b63c75893923c9c9b4cb56eeaa2bd","target":"record","created_at":"2026-05-18T02:56:21Z","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":"e1ebe36d4d668abf0aaba4edd5816b1263775d80002d94cfef9fed14ad2fe94a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-15T10:03:47Z","title_canon_sha256":"1202eda999c959858d2858f4ee16d6c8e91d86ba8a1eb472cb2e13d8fe13ffc3"},"schema_version":"1.0","source":{"id":"1112.3466","kind":"arxiv","version":1}},"canonical_sha256":"3e274b321dd3af08b8d07e948fab6dde454451b50d6c98184df5db790094387a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e274b321dd3af08b8d07e948fab6dde454451b50d6c98184df5db790094387a","first_computed_at":"2026-05-18T02:56:21.513142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:21.513142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S1Xm8JtOfNwrdpLbBpbMKQPB3c1CBTgyZypPLKRChKZvRmJChS5tL84vVChr89vSdns7ME6gyAKpx4jjmcTMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:21.513804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b65dcaeb07fcddbd0659f1fbe16b7258ec4b63c75893923c9c9b4cb56eeaa2bd","sha256:2ff99ac0fa8d0e3551567634f1c6a61722661cfa64f7915e75ff3aab09ea99f2"],"state_sha256":"f030410231adbda235449e8041d1c9d59c5d404f95fd5c11291cd5f1759babdd"}