{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IKC6Z3JVQGRI437SR5B6DTF5ES","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":"e716b1c88f1f8e158f99c9ccf276a46520ece0495afc4198304afe5971801e31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-09-20T09:20:50Z","title_canon_sha256":"162e897a9c121a80ad224fc54b9b8ef014d66cfcccb495c892722ff04723a353"},"schema_version":"1.0","source":{"id":"1409.5873","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5873","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5873v2","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5873","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"IKC6Z3JVQGRI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IKC6Z3JVQGRI437S","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IKC6Z3JV","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:765d9a76fc353d0026d15bfdfd217ac9fd711fdfdcf4da97e15e5053879955ca","target":"graph","created_at":"2026-05-18T00:42:13Z","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 study the behavior of the signature of colored links [Flo05, CF08] under the splice operation. We extend the construction to colored links in integral homology spheres and show that the signature is almost additive, with a correction term independent of the links. We interpret this correction term as the signature of a generalized Hopf link and give a simple closed formula to compute it.","authors_text":"Alex Degtyarev, Ana G. Lecuona, Vincent Florens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-09-20T09:20:50Z","title":"The signature of a splice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5873","kind":"arxiv","version":2},"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:f1465f3614eeac41c6f91c7c003e5db24f0280058478488f389c898625f39772","target":"record","created_at":"2026-05-18T00:42:13Z","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":"e716b1c88f1f8e158f99c9ccf276a46520ece0495afc4198304afe5971801e31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-09-20T09:20:50Z","title_canon_sha256":"162e897a9c121a80ad224fc54b9b8ef014d66cfcccb495c892722ff04723a353"},"schema_version":"1.0","source":{"id":"1409.5873","kind":"arxiv","version":2}},"canonical_sha256":"4285eced3581a28e6ff28f43e1ccbd24aa63e061595b0a5a39057172fa82dceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4285eced3581a28e6ff28f43e1ccbd24aa63e061595b0a5a39057172fa82dceb","first_computed_at":"2026-05-18T00:42:13.740412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:13.740412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8f5xLIJUbgUM8NRQ3iczy9LA5xkTnbqLBSm9VB0OXYAxgGYOIWhQz/ttsk5MIne6jxK0tulTonTHWoYBn+FLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:13.740991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5873","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1465f3614eeac41c6f91c7c003e5db24f0280058478488f389c898625f39772","sha256:765d9a76fc353d0026d15bfdfd217ac9fd711fdfdcf4da97e15e5053879955ca"],"state_sha256":"62d7e5944b22c1b039874e5360d7a7f5233ee23323a5dc38e40f39dfccfb77b8"}