{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MHGDFWPGI5BNKCAOQZR54BZTBE","short_pith_number":"pith:MHGDFWPG","schema_version":"1.0","canonical_sha256":"61cc32d9e64742d5080e8663de073309369b9eca966eb282ec55e262a234c752","source":{"kind":"arxiv","id":"1710.09730","version":3},"attestation_state":"computed","paper":{"title":"Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Benjamin Audoux, Delphine Moussard","submitted_at":"2017-10-26T14:31:25Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.09730","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-26T14:31:25Z","cross_cats_sorted":[],"title_canon_sha256":"c30ac6f659fc04cae8c524227f22038654716b71cc613d986d521ff8b3703b52","abstract_canon_sha256":"e6e78653b93753ce55b6f3282e4e43cfd0271054eebd03a7b199a1378e233c01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:06.185401Z","signature_b64":"lVajS9z8RiKBu4fkJHH/tUKVsi40R/w8mS+oU3DzOime/3oYswJKy6+LxWcia0M4AaNyimBF277V2SwizeYtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61cc32d9e64742d5080e8663de073309369b9eca966eb282ec55e262a234c752","last_reissued_at":"2026-05-17T23:51:06.184718Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:06.184718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Benjamin Audoux, Delphine Moussard","submitted_at":"2017-10-26T14:31:25Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09730","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.09730","created_at":"2026-05-17T23:51:06.184826+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.09730v3","created_at":"2026-05-17T23:51:06.184826+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09730","created_at":"2026-05-17T23:51:06.184826+00:00"},{"alias_kind":"pith_short_12","alias_value":"MHGDFWPGI5BN","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MHGDFWPGI5BNKCAO","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MHGDFWPG","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE","json":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE.json","graph_json":"https://pith.science/api/pith-number/MHGDFWPGI5BNKCAOQZR54BZTBE/graph.json","events_json":"https://pith.science/api/pith-number/MHGDFWPGI5BNKCAOQZR54BZTBE/events.json","paper":"https://pith.science/paper/MHGDFWPG"},"agent_actions":{"view_html":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE","download_json":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE.json","view_paper":"https://pith.science/paper/MHGDFWPG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.09730&json=true","fetch_graph":"https://pith.science/api/pith-number/MHGDFWPGI5BNKCAOQZR54BZTBE/graph.json","fetch_events":"https://pith.science/api/pith-number/MHGDFWPGI5BNKCAOQZR54BZTBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE/action/storage_attestation","attest_author":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE/action/author_attestation","sign_citation":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE/action/citation_signature","submit_replication":"https://pith.science/pith/MHGDFWPGI5BNKCAOQZR54BZTBE/action/replication_record"}},"created_at":"2026-05-17T23:51:06.184826+00:00","updated_at":"2026-05-17T23:51:06.184826+00:00"}