{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:H5SDC74J2FZ667LQEUFXK44TC5","short_pith_number":"pith:H5SDC74J","canonical_record":{"source":{"id":"math/9806114","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1998-06-20T00:32:36Z","cross_cats_sorted":[],"title_canon_sha256":"39d025c5d9d12231de99ef2910662bfe6a3536c79d71139eb683071c052d36e6","abstract_canon_sha256":"79a474ca90b6150f52e79f6450743f159c04677089c7ebec1092adcf27f86546"},"schema_version":"1.0"},"canonical_sha256":"3f64317f89d173ef7d70250b75739317497b094a8ed7d5376b15e568bb6919a0","source":{"kind":"arxiv","id":"math/9806114","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9806114","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"math/9806114v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806114","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"H5SDC74J2FZ6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"H5SDC74J2FZ667LQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"H5SDC74J","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:H5SDC74J2FZ667LQEUFXK44TC5","target":"record","payload":{"canonical_record":{"source":{"id":"math/9806114","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1998-06-20T00:32:36Z","cross_cats_sorted":[],"title_canon_sha256":"39d025c5d9d12231de99ef2910662bfe6a3536c79d71139eb683071c052d36e6","abstract_canon_sha256":"79a474ca90b6150f52e79f6450743f159c04677089c7ebec1092adcf27f86546"},"schema_version":"1.0"},"canonical_sha256":"3f64317f89d173ef7d70250b75739317497b094a8ed7d5376b15e568bb6919a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:06.685928Z","signature_b64":"G4RniYehrU144B3yz+aj5q4jxn/akKAcgBIRz/HtL6O6Wm4CFa2T+dI62UUy4Li62sQifIYpbYGjhMxUjCJaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f64317f89d173ef7d70250b75739317497b094a8ed7d5376b15e568bb6919a0","last_reissued_at":"2026-05-18T03:22:06.685160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:06.685160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9806114","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t3WCv2KtNXUCZZV34UDJ4tqUaD0VlZXEDXDwEYOqWg2EjBpzEjkfiWlSHWqu9WB8WBSXS6gvvjEK72RnguVBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:54.217534Z"},"content_sha256":"0615a48e42f531f2dc9f5a27ad4edbd412dabf71b3560c59aa6b96d4d88e9223","schema_version":"1.0","event_id":"sha256:0615a48e42f531f2dc9f5a27ad4edbd412dabf71b3560c59aa6b96d4d88e9223"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:H5SDC74J2FZ667LQEUFXK44TC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bridged Links and Tangle Presentations of Cobordism Categories","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Thomas Kerler","submitted_at":"1998-06-20T00:32:36Z","abstract_excerpt":"We develop a calculus of surgery data, called bridged links, which involves besides links also pairs of balls that describe one-handle attachements. As opposed to the usual link calculi of Kirby and others this description uses only elementary, local moves(namely modifications and isolated cancellations), and it is valid also on non-simply connected and disconnected manifolds. In particular, it allows us to give a presentation of a 3-manifold by doing surgery on any other 3-manifold with the same boundary. Bridged link presentations on unions of handlebodies are used to give a Cerf-theoretical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806114","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TpNWwKxHUr/C9J4TXZnyc3lrDoEpw/B8tvF7WqIIzoKNhETH2AJ/jVNZE4iEDtUzsaZkZLhR+sMeqa4aSu3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:54.218243Z"},"content_sha256":"d379394da9bc136ab5a5e22b78352e7f53b4b40ef103fee7dc9439c918f44ce3","schema_version":"1.0","event_id":"sha256:d379394da9bc136ab5a5e22b78352e7f53b4b40ef103fee7dc9439c918f44ce3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H5SDC74J2FZ667LQEUFXK44TC5/bundle.json","state_url":"https://pith.science/pith/H5SDC74J2FZ667LQEUFXK44TC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H5SDC74J2FZ667LQEUFXK44TC5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T19:22:54Z","links":{"resolver":"https://pith.science/pith/H5SDC74J2FZ667LQEUFXK44TC5","bundle":"https://pith.science/pith/H5SDC74J2FZ667LQEUFXK44TC5/bundle.json","state":"https://pith.science/pith/H5SDC74J2FZ667LQEUFXK44TC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H5SDC74J2FZ667LQEUFXK44TC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:H5SDC74J2FZ667LQEUFXK44TC5","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":"79a474ca90b6150f52e79f6450743f159c04677089c7ebec1092adcf27f86546","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"1998-06-20T00:32:36Z","title_canon_sha256":"39d025c5d9d12231de99ef2910662bfe6a3536c79d71139eb683071c052d36e6"},"schema_version":"1.0","source":{"id":"math/9806114","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9806114","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"math/9806114v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806114","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"H5SDC74J2FZ6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"H5SDC74J2FZ667LQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"H5SDC74J","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:d379394da9bc136ab5a5e22b78352e7f53b4b40ef103fee7dc9439c918f44ce3","target":"graph","created_at":"2026-05-18T03:22:06Z","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 develop a calculus of surgery data, called bridged links, which involves besides links also pairs of balls that describe one-handle attachements. As opposed to the usual link calculi of Kirby and others this description uses only elementary, local moves(namely modifications and isolated cancellations), and it is valid also on non-simply connected and disconnected manifolds. In particular, it allows us to give a presentation of a 3-manifold by doing surgery on any other 3-manifold with the same boundary. Bridged link presentations on unions of handlebodies are used to give a Cerf-theoretical","authors_text":"Thomas Kerler","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"1998-06-20T00:32:36Z","title":"Bridged Links and Tangle Presentations of Cobordism Categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806114","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":"sha256:0615a48e42f531f2dc9f5a27ad4edbd412dabf71b3560c59aa6b96d4d88e9223","target":"record","created_at":"2026-05-18T03:22:06Z","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":"79a474ca90b6150f52e79f6450743f159c04677089c7ebec1092adcf27f86546","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"1998-06-20T00:32:36Z","title_canon_sha256":"39d025c5d9d12231de99ef2910662bfe6a3536c79d71139eb683071c052d36e6"},"schema_version":"1.0","source":{"id":"math/9806114","kind":"arxiv","version":1}},"canonical_sha256":"3f64317f89d173ef7d70250b75739317497b094a8ed7d5376b15e568bb6919a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f64317f89d173ef7d70250b75739317497b094a8ed7d5376b15e568bb6919a0","first_computed_at":"2026-05-18T03:22:06.685160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:06.685160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G4RniYehrU144B3yz+aj5q4jxn/akKAcgBIRz/HtL6O6Wm4CFa2T+dI62UUy4Li62sQifIYpbYGjhMxUjCJaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:06.685928Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9806114","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0615a48e42f531f2dc9f5a27ad4edbd412dabf71b3560c59aa6b96d4d88e9223","sha256:d379394da9bc136ab5a5e22b78352e7f53b4b40ef103fee7dc9439c918f44ce3"],"state_sha256":"67b8c7cf7675c0be59907efaef99a7953c84804bc8d2ecb7c2c6cccc50e587a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gAbeosttb/4XK5+nlPgsYZ1x2DMKgdV3NlDMMPP0j681v8pX2DJI8skp2URKu58lIQlcv1PPlEHkf/MRrXYgAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:22:54.222250Z","bundle_sha256":"fb70c3aad74c9730100345191eedf7683178cd7653972ca697602d1fb77bd7d3"}}