{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SEYGTJIYQEJW3QDDU2UZB3SUCW","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":"7fd655ee1a7eeae39437f78d77737ba6217beb02be88b724cee1607d422f3935","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-29T16:38:59Z","title_canon_sha256":"1f53987c4e5a69af0716d7b3d826eafe6339c5a9d9ecd98d404a7f9c3c3d7b97"},"schema_version":"1.0","source":{"id":"1603.08838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08838","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08838v2","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08838","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"pith_short_12","alias_value":"SEYGTJIYQEJW","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SEYGTJIYQEJW3QDD","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SEYGTJIY","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:1ee679c002990532041b92987341618dca34db3b12150ebf7529ede4d4f67ec2","target":"graph","created_at":"2026-05-18T00:23:01Z","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 paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map, from the (maximal) marked length spectrum of the domain.","authors_text":"Alfonso Sorrentino, Guan Huang, Vadim Kaloshin","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-29T16:38:59Z","title":"On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08838","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":"sha256:5e70c600c33f7d33d8ccbe5af1e34a5a86c0f5c88bcaf16101e6ff9876c93a27","target":"record","created_at":"2026-05-18T00:23:01Z","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":"7fd655ee1a7eeae39437f78d77737ba6217beb02be88b724cee1607d422f3935","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-29T16:38:59Z","title_canon_sha256":"1f53987c4e5a69af0716d7b3d826eafe6339c5a9d9ecd98d404a7f9c3c3d7b97"},"schema_version":"1.0","source":{"id":"1603.08838","kind":"arxiv","version":2}},"canonical_sha256":"913069a51881136dc063a6a990ee5415b407aacca547f592ae7de3777e9da914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"913069a51881136dc063a6a990ee5415b407aacca547f592ae7de3777e9da914","first_computed_at":"2026-05-18T00:23:01.866527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:01.866527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mjtzCU3jnJ65FCfPrbG7TBwAIkq3Ri4ZuR0cxw9fxw09zaHZkeXG7Avh+CIgS4d/KlyAjlXaX3UPzvizgG5BAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:01.867117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e70c600c33f7d33d8ccbe5af1e34a5a86c0f5c88bcaf16101e6ff9876c93a27","sha256:1ee679c002990532041b92987341618dca34db3b12150ebf7529ede4d4f67ec2"],"state_sha256":"b5a69932fcb10695fcd4b21057f8034c86883047d6bc2ca16d52f8c1d9a7403b"}