{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BKZMCY4BYZ2EKPAOGM3QXBNIKM","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":"7e1256f62cedd1cb7b18cbe52248182ad6166f1895c91b299cd6e4aef312e1ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-23T07:05:32Z","title_canon_sha256":"a22a7228cbdc0a92fc7cd1c6e53410eb2aaa239994fee2aaaa3a061d19b0e64f"},"schema_version":"1.0","source":{"id":"1806.08919","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08919","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08919v1","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08919","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"BKZMCY4BYZ2E","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BKZMCY4BYZ2EKPAO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BKZMCY4B","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:619af79f1a8c2bf0c9162bdf3f53588a0dbc5d5fdd6c7638c534cb0398e69a20","target":"graph","created_at":"2026-05-18T00:12:30Z","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":"A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.","authors_text":"Kai Ishihara, Koya Shimokawa, Makoto Ozawa, Yuya Koda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-23T07:05:32Z","title":"Neighborhood equivalence for multibranched surfaces in 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08919","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":"sha256:569ddca27540c6c1f78ffcb6319fcfbc79f453e6f1fa620ed37349ce41609de8","target":"record","created_at":"2026-05-18T00:12:30Z","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":"7e1256f62cedd1cb7b18cbe52248182ad6166f1895c91b299cd6e4aef312e1ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-06-23T07:05:32Z","title_canon_sha256":"a22a7228cbdc0a92fc7cd1c6e53410eb2aaa239994fee2aaaa3a061d19b0e64f"},"schema_version":"1.0","source":{"id":"1806.08919","kind":"arxiv","version":1}},"canonical_sha256":"0ab2c16381c674453c0e33370b85a85326d06049efe6fa628e6d82eec23da5a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ab2c16381c674453c0e33370b85a85326d06049efe6fa628e6d82eec23da5a8","first_computed_at":"2026-05-18T00:12:30.888515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:30.888515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4H9MZmUbsAqx2ixdwE/C8ow5lmXga9L60NsSLFziIZCJtvEjWCK3qrpsxjSWsxaGTnjMVWeMPy9v9nZe8kwXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:30.889176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08919","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:569ddca27540c6c1f78ffcb6319fcfbc79f453e6f1fa620ed37349ce41609de8","sha256:619af79f1a8c2bf0c9162bdf3f53588a0dbc5d5fdd6c7638c534cb0398e69a20"],"state_sha256":"7a52f5ded51c004d345fc8a87459ae5f4f56d102fec1d697451fa2970afca8ab"}