{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3QJ3LTW5LCETEEV3R7L7ZZR3HB","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":"7a9191d998fc0231901dc46dd2bb11b09377f034275d87f7a6ae60a4b4c1e1ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-10-29T21:26:20Z","title_canon_sha256":"2ad470521fa6395d8044b652328522c0aa26397f189cc4941d4462ed5f4e49fc"},"schema_version":"1.0","source":{"id":"1011.0021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0021","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0021v1","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0021","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"3QJ3LTW5LCET","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3QJ3LTW5LCETEEV3","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3QJ3LTW5","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:3730b83eef5380d4f1fe98c2793cc7c873529a5fe5dd123f01433d4adc8e5ad4","target":"graph","created_at":"2026-05-18T02:58:01Z","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":"We show that a pseudo-Anosov map on a boundary component of an irreducible 3-manifold has a power that partially extends to the interior if and only if its (un)stable lamination is a projective limit of meridians. The proof is through 3-dimensional hyperbolic geometry, and involves an investigation of algebraic limits of convex cocompact compression bodies.","authors_text":"Ian Biringer, Jesse Johnson, Yair Minsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-10-29T21:26:20Z","title":"Extending pseudo-Anosov maps to compression bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0021","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:ca94bc746a992deaf991cb72aa53d7e35a827bf0f9192a62ab612f7efb16c28d","target":"record","created_at":"2026-05-18T02:58:01Z","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":"7a9191d998fc0231901dc46dd2bb11b09377f034275d87f7a6ae60a4b4c1e1ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-10-29T21:26:20Z","title_canon_sha256":"2ad470521fa6395d8044b652328522c0aa26397f189cc4941d4462ed5f4e49fc"},"schema_version":"1.0","source":{"id":"1011.0021","kind":"arxiv","version":1}},"canonical_sha256":"dc13b5cedd58893212bb8fd7fce63b3871793027cc2f3cef54d43261b1e81fe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc13b5cedd58893212bb8fd7fce63b3871793027cc2f3cef54d43261b1e81fe6","first_computed_at":"2026-05-18T02:58:01.592629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:01.592629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lh/X4byOpV8G+JGQqtk+jfcTdWSD8yDxDAiTlazHExDrInS8QkbTiRQf0JkofbQayTdYbhN/5QuIS5jFINEUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:01.593238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.0021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca94bc746a992deaf991cb72aa53d7e35a827bf0f9192a62ab612f7efb16c28d","sha256:3730b83eef5380d4f1fe98c2793cc7c873529a5fe5dd123f01433d4adc8e5ad4"],"state_sha256":"cda55e7057bcc8f565ff3a4dd78ec9df0dbdfe6751d5181b41b9aecac03b63c3"}