{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O7QIJU7CW7WBWGRF57G2LPNFX2","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":"f61ad3ef1f6c572f2d92ce6f829bdba42cc3351081194f71c7fb42a81948360a","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-22T19:36:33Z","title_canon_sha256":"51ef21e1512ee91410bebad437c76bbe872c88ed40406451fce5fbb23939db5e"},"schema_version":"1.0","source":{"id":"1705.07965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07965","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07965v1","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07965","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"pith_short_12","alias_value":"O7QIJU7CW7WB","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O7QIJU7CW7WBWGRF","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O7QIJU7C","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:7ca2885e3d7acdec45b352c72a9e327568214b1b6358e401442a56eb9e21cee0","target":"graph","created_at":"2026-05-18T00:44:04Z","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":"We show that for smooth contact Anosov flows in dimension 3, the resonant states associated to the first band of Ruelle resonances are distributions that are killed by the unstable derivative.","authors_text":"Colin Guillarmou, Frederic Faure","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-22T19:36:33Z","title":"Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07965","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:f97b3528d6bd8ea608ab03c2603c016147952122595a3c8a68dc22f230728b09","target":"record","created_at":"2026-05-18T00:44:04Z","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":"f61ad3ef1f6c572f2d92ce6f829bdba42cc3351081194f71c7fb42a81948360a","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-22T19:36:33Z","title_canon_sha256":"51ef21e1512ee91410bebad437c76bbe872c88ed40406451fce5fbb23939db5e"},"schema_version":"1.0","source":{"id":"1705.07965","kind":"arxiv","version":1}},"canonical_sha256":"77e084d3e2b7ec1b1a25efcda5bda5bea6147df3a29c46cd0fe669fc6c03e9e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77e084d3e2b7ec1b1a25efcda5bda5bea6147df3a29c46cd0fe669fc6c03e9e5","first_computed_at":"2026-05-18T00:44:04.033670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:04.033670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FAfKlOdt6ctlaoI5SbEx+ZBjw9eO7ZqvnhIDmj3lB9lWI02zzewDyOb5cyA/q7Ecd5RjWf9TIV1Kcc3s748IBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:04.034129Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f97b3528d6bd8ea608ab03c2603c016147952122595a3c8a68dc22f230728b09","sha256:7ca2885e3d7acdec45b352c72a9e327568214b1b6358e401442a56eb9e21cee0"],"state_sha256":"b4ac2baef4deaf46248b3f3ced4516ce76e7a8d62605a2284c92b12424e70190"}