{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6WYRXVYIBCXQSPN5ER7MPXJ4GX","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":"4fd5f631b6dd7242ec31c5c7cbb48198513e8b9ae5467926f2fe0467034d30e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-02T14:47:27Z","title_canon_sha256":"7f41998e5dbeaad6d54abc767e560b538f336c146e97362f3f4ed8588a60eaa9"},"schema_version":"1.0","source":{"id":"1408.0378","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0378","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0378v3","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0378","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"6WYRXVYIBCXQ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6WYRXVYIBCXQSPN5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6WYRXVYI","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:acf7b003c5a8e9e2a7b2ae5978b1b075a88d05655f6b71aaa80bd034e91365db","target":"graph","created_at":"2026-05-18T00:27:57Z","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 describe an algorithm to subdivide automatically a given set of PL n-manifolds (via coloured triangulations or, equivalently, via crystallizations) into classes whose elements are PL-homeomorphic. The algorithm, implemented in the case n=4, succeeds to solve completely the PL-homeomorphism problem among the catalogue of all closed connected PL 4-manifolds up to gem-complexity 8 (i.e., which admit a coloured triangulation with at most 18 4-simplices). Possible interactions with the (not completely known) relationship among different classification in TOP and DIFF=PL categories are also inves","authors_text":"M.R. Casali, P. Cristofori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-02T14:47:27Z","title":"Cataloguing PL 4-manifolds by gem-complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0378","kind":"arxiv","version":3},"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:ba319da9fc760c8dd439ff10f1f7f86bc636b0b0baccb146b1721085e3f82ca9","target":"record","created_at":"2026-05-18T00:27:57Z","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":"4fd5f631b6dd7242ec31c5c7cbb48198513e8b9ae5467926f2fe0467034d30e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-02T14:47:27Z","title_canon_sha256":"7f41998e5dbeaad6d54abc767e560b538f336c146e97362f3f4ed8588a60eaa9"},"schema_version":"1.0","source":{"id":"1408.0378","kind":"arxiv","version":3}},"canonical_sha256":"f5b11bd70808af093dbd247ec7dd3c35d0aba97ff5e5123bdb15ea13565a2bc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5b11bd70808af093dbd247ec7dd3c35d0aba97ff5e5123bdb15ea13565a2bc3","first_computed_at":"2026-05-18T00:27:57.875929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:57.875929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TC+CSLgB6yiZNhqD4cNKSRpMd5mS+3/tK3gTpYMjH3W89ZrSR9PFX0WL9qb8bSrvsA0VeUY36+T0CnnA97puDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:57.876570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0378","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba319da9fc760c8dd439ff10f1f7f86bc636b0b0baccb146b1721085e3f82ca9","sha256:acf7b003c5a8e9e2a7b2ae5978b1b075a88d05655f6b71aaa80bd034e91365db"],"state_sha256":"5c6826a55520c3a7c90c95537d7839dfee6ab9119dc54d8488e9aa55e12af2e7"}