{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:VGPQFIQ6DMXMHOFI2XMQMXN453","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":"12293eb0796ccec6009052ab0bb92201ddfcf8a118df9f9ca4b19e0027400100","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-04-18T13:05:25Z","title_canon_sha256":"c77fffbec4b7527f2c16db8c8d9294a183b186356a159ff8ecb868d6aab2111d"},"schema_version":"1.0","source":{"id":"math/0204228","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0204228","created_at":"2026-05-18T04:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"math/0204228v3","created_at":"2026-05-18T04:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0204228","created_at":"2026-05-18T04:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"VGPQFIQ6DMXM","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VGPQFIQ6DMXMHOFI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VGPQFIQ6","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:1e8db23a736469964c07384278d0e844543d5a25704de8f244c2e60cde306f94","target":"graph","created_at":"2026-05-18T04:26:46Z","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 classify all the non-hyperbolic Dehn fillings of the complement of the chain-link with 3 components, conjectured to be the smallest hyperbolic 3-manifold with 3 cusps. We deduce the classification of all non-hyperbolic Dehn fillings of infinitely many 1-cusped and 2-cusped hyperbolic manifolds, including most of those with smallest known volume. Among other consequences of this classification, we mention the following:\n - for every integer n we can prove that there are infinitely many hyperbolic knots in the 3-sphere having exceptional surgeries n, n+1, n+2, n+3, with n+1, n+2 giving small ","authors_text":"Bruno Martelli, Carlo Petronio","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2002-04-18T13:05:25Z","title":"Dehn filling of the \"magic\" 3-manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0204228","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":"sha256:225408fdaf48c49f06357aeb154513091a6a48d405ded95e7b80c417a2c9a2cb","target":"record","created_at":"2026-05-18T04:26:46Z","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":"12293eb0796ccec6009052ab0bb92201ddfcf8a118df9f9ca4b19e0027400100","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-04-18T13:05:25Z","title_canon_sha256":"c77fffbec4b7527f2c16db8c8d9294a183b186356a159ff8ecb868d6aab2111d"},"schema_version":"1.0","source":{"id":"math/0204228","kind":"arxiv","version":3}},"canonical_sha256":"a99f02a21e1b2ec3b8a8d5d9065dbceee583fbbe9daf935c050d8756d22f7ccd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a99f02a21e1b2ec3b8a8d5d9065dbceee583fbbe9daf935c050d8756d22f7ccd","first_computed_at":"2026-05-18T04:26:46.041390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:46.041390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cC99LBLoZqTsacu5aqXpaYcaUSE6dw9D+yeFsaVJSMpaDEfL1sGACAeR1e9F6Ex0jEryAQ3wKcgfgy7LzZDoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:46.042018Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0204228","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:225408fdaf48c49f06357aeb154513091a6a48d405ded95e7b80c417a2c9a2cb","sha256:1e8db23a736469964c07384278d0e844543d5a25704de8f244c2e60cde306f94"],"state_sha256":"4b80dbde7991991575abdda724d991c9d82d2df425d5f172d20d2ca2bc73b39f"}