{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MHGDFWPGI5BNKCAOQZR54BZTBE","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":"e6e78653b93753ce55b6f3282e4e43cfd0271054eebd03a7b199a1378e233c01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-26T14:31:25Z","title_canon_sha256":"c30ac6f659fc04cae8c524227f22038654716b71cc613d986d521ff8b3703b52"},"schema_version":"1.0","source":{"id":"1710.09730","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09730","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09730v3","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09730","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"MHGDFWPGI5BN","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MHGDFWPGI5BNKCAO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MHGDFWPG","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:c1918ee2c4e4983af8df1bf9cf4e67296c074ef220d22ab45a837defac3ce4fc","target":"graph","created_at":"2026-05-17T23:51:06Z","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":"In the setting of finite type invariants for null-homologous knots in rational homology 3-spheres with respect to null Lagrangian-preserving surgeries, there are two candidates to be universal invariants, defined respectively by Kricker and Lescop. In a previous paper, the second author defined maps between spaces of Jacobi diagrams. Injectivity for these maps would imply that Kricker and Lescop invariants are indeed universal invariants; this would prove in particular that these two invariants are equivalent. In the present paper, we investigate the injectivity status of these maps for degree","authors_text":"Benjamin Audoux, Delphine Moussard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-26T14:31:25Z","title":"Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09730","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":"sha256:7d3dc3c792a459dcf73df720a71475f665a0883446c9f1563889d918b955d73b","target":"record","created_at":"2026-05-17T23:51:06Z","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":"e6e78653b93753ce55b6f3282e4e43cfd0271054eebd03a7b199a1378e233c01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-26T14:31:25Z","title_canon_sha256":"c30ac6f659fc04cae8c524227f22038654716b71cc613d986d521ff8b3703b52"},"schema_version":"1.0","source":{"id":"1710.09730","kind":"arxiv","version":3}},"canonical_sha256":"61cc32d9e64742d5080e8663de073309369b9eca966eb282ec55e262a234c752","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61cc32d9e64742d5080e8663de073309369b9eca966eb282ec55e262a234c752","first_computed_at":"2026-05-17T23:51:06.184718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:06.184718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lVajS9z8RiKBu4fkJHH/tUKVsi40R/w8mS+oU3DzOime/3oYswJKy6+LxWcia0M4AaNyimBF277V2SwizeYtAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:06.185401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09730","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d3dc3c792a459dcf73df720a71475f665a0883446c9f1563889d918b955d73b","sha256:c1918ee2c4e4983af8df1bf9cf4e67296c074ef220d22ab45a837defac3ce4fc"],"state_sha256":"e33a3b9d508586c3391fc234ad8c7a11ac2e7bd5873c8f35416a974c2e881c1d"}