{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DHO3FVZSW3UGKGQERQ4BHJSU5I","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":"a3dd04e27fa0865a3ec5e1dc6913a956680f2dc891a2ac9fbcac88ab0f5129c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-08-05T09:07:29Z","title_canon_sha256":"c998c81d7d924ad79fee3b913cda232e1dcfeac3bddf6c3abc7e4cf214e8d52f"},"schema_version":"1.0","source":{"id":"1608.01812","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01812","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01812v4","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01812","created_at":"2026-05-18T00:01:16Z"},{"alias_kind":"pith_short_12","alias_value":"DHO3FVZSW3UG","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DHO3FVZSW3UGKGQE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DHO3FVZS","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:929751516ccbbe503d6c31560083bc807f0f66408bb243ba56a2755d272c7dcf","target":"graph","created_at":"2026-05-18T00:01:16Z","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 present a new 2-variable generalization of the Jones polynomial that can be defined through the skein relation of the Jones polynomial. The well-definedness of this new generalization is proved both algebraically and diagrammatically as well as via a closed combinatorial formula. This new invariant is able to distinguish more pairs of non-isotopic links than the original Jones polynomial such as the Thistlethwaite link from the unlink with two components.","authors_text":"Dimos Goundaroulis, Sofia Lambropoulou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-08-05T09:07:29Z","title":"A new two-variable generalization of the Jones polynomial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01812","kind":"arxiv","version":4},"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":"sha256:82eb6d7f8cc06d57130c639f789741b536eb020551125658f37d0526c53bb0cc","target":"record","created_at":"2026-05-18T00:01:16Z","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":"a3dd04e27fa0865a3ec5e1dc6913a956680f2dc891a2ac9fbcac88ab0f5129c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-08-05T09:07:29Z","title_canon_sha256":"c998c81d7d924ad79fee3b913cda232e1dcfeac3bddf6c3abc7e4cf214e8d52f"},"schema_version":"1.0","source":{"id":"1608.01812","kind":"arxiv","version":4}},"canonical_sha256":"19ddb2d732b6e8651a048c3813a654ea031158791eb4b189198f4886669bb04b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19ddb2d732b6e8651a048c3813a654ea031158791eb4b189198f4886669bb04b","first_computed_at":"2026-05-18T00:01:16.676284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:16.676284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HtfmBx2v7h9NMN5AvU/NTBa/uroBkKLX0orJo8pE1ESkR3u8hRlvsgg9lLdHaS5vOX9saE2H4k/6COa4EKBuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:16.676916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.01812","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82eb6d7f8cc06d57130c639f789741b536eb020551125658f37d0526c53bb0cc","sha256:929751516ccbbe503d6c31560083bc807f0f66408bb243ba56a2755d272c7dcf"],"state_sha256":"b1bf44ac2a0d8ce2097e7d8ab076a932d8cbc3283b68c2c963e2015169ed40b5"}