{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5O6FCAOVNOBLPWBLRZMRH5VPNY","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":"04c2332fa9679bd62aee9c106e510eecdcf1df8abfe2ccd09fc98b7be133d35c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-18T22:44:20Z","title_canon_sha256":"b5e6cccc37acda6d8d4996028955a463b2c735f4d1e5dfa6527453ef3eb4bdf3"},"schema_version":"1.0","source":{"id":"1103.3724","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3724","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3724v2","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3724","created_at":"2026-05-18T02:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"5O6FCAOVNOBL","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5O6FCAOVNOBLPWBL","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5O6FCAOV","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2869eada41cc93bfe7b0ab4f3b472da57987003ef8f777520933d91415bef3da","target":"graph","created_at":"2026-05-18T02:22:18Z","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":"Every partially hyperbolic diffeomorphism on a 3-dimensional nilmanifold is leaf conjugate to a nilmanifold automorphism.","authors_text":"Andy Hammerlindl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-18T22:44:20Z","title":"Partial hyperbolicity on 3-dimensional nilmanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3724","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":"sha256:93bc999bf03c6f9834f04615d4f1b76b3f22b782f90edfa30d5da95f5b4ab32f","target":"record","created_at":"2026-05-18T02:22:18Z","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":"04c2332fa9679bd62aee9c106e510eecdcf1df8abfe2ccd09fc98b7be133d35c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-18T22:44:20Z","title_canon_sha256":"b5e6cccc37acda6d8d4996028955a463b2c735f4d1e5dfa6527453ef3eb4bdf3"},"schema_version":"1.0","source":{"id":"1103.3724","kind":"arxiv","version":2}},"canonical_sha256":"ebbc5101d56b82b7d82b8e5913f6af6e3486956fd1be384720cbaa6f0716f2c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebbc5101d56b82b7d82b8e5913f6af6e3486956fd1be384720cbaa6f0716f2c3","first_computed_at":"2026-05-18T02:22:18.166923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:18.166923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n4lL2TSDGoWZUm3cPj/J4YvKosX4cu2f4i11e5FJbG9j6wXPbLzd3qLashh4YInFQwPF2rdIyB9b4PkbpM0WBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:18.167594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3724","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93bc999bf03c6f9834f04615d4f1b76b3f22b782f90edfa30d5da95f5b4ab32f","sha256:2869eada41cc93bfe7b0ab4f3b472da57987003ef8f777520933d91415bef3da"],"state_sha256":"5361327599fd058ce71a1bef42a74e2d052c6d66f54b5a5346ff9f90cadd25b2"}