{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:O7LQSGONRDHXKUMIWRVCDCY2ZG","short_pith_number":"pith:O7LQSGON","schema_version":"1.0","canonical_sha256":"77d70919cd88cf755188b46a218b1ac99d5d9ffb98f2b506e493787e4cce1cba","source":{"kind":"arxiv","id":"1604.03213","version":2},"attestation_state":"computed","paper":{"title":"Group-like expansions and invariants of string links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"Hisatoshi Kodani","submitted_at":"2016-04-12T02:42:57Z","abstract_excerpt":"In this article, we define and study the total Milnor invariant and the infinitesimal Morita-Milnor homomorphism as punctured disk analogues of the total Johnson map and the infinitesimal Morita homomorphism studied by Kawazumi and Massuyeau in the case of surface of positive genus with one boundary component."},"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":"1604.03213","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-12T02:42:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"73871d67b18bc6f06207a0e5b8c4f473b7883e61b4382a6f35eb1c5fe8e1f959","abstract_canon_sha256":"c5bc22ff24a7745e5bbc1428625f810b657bc6dee4bb9a979172766a2c31917f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:19.881759Z","signature_b64":"so+PMQmKFWH3rXfEHLNtY42wAZjhAJDfVKPMnCI9cHwuSISZ1ygupUCTnJiUE8MwbPxKJCgJGc6jX9mSPwFgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77d70919cd88cf755188b46a218b1ac99d5d9ffb98f2b506e493787e4cce1cba","last_reissued_at":"2026-05-18T01:10:19.881106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:19.881106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Group-like expansions and invariants of string links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"Hisatoshi Kodani","submitted_at":"2016-04-12T02:42:57Z","abstract_excerpt":"In this article, we define and study the total Milnor invariant and the infinitesimal Morita-Milnor homomorphism as punctured disk analogues of the total Johnson map and the infinitesimal Morita homomorphism studied by Kawazumi and Massuyeau in the case of surface of positive genus with one boundary component."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03213","kind":"arxiv","version":2},"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":"1604.03213","created_at":"2026-05-18T01:10:19.881195+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.03213v2","created_at":"2026-05-18T01:10:19.881195+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03213","created_at":"2026-05-18T01:10:19.881195+00:00"},{"alias_kind":"pith_short_12","alias_value":"O7LQSGONRDHX","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"O7LQSGONRDHXKUMI","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"O7LQSGON","created_at":"2026-05-18T12:30:36.002864+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/O7LQSGONRDHXKUMIWRVCDCY2ZG","json":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG.json","graph_json":"https://pith.science/api/pith-number/O7LQSGONRDHXKUMIWRVCDCY2ZG/graph.json","events_json":"https://pith.science/api/pith-number/O7LQSGONRDHXKUMIWRVCDCY2ZG/events.json","paper":"https://pith.science/paper/O7LQSGON"},"agent_actions":{"view_html":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG","download_json":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG.json","view_paper":"https://pith.science/paper/O7LQSGON","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.03213&json=true","fetch_graph":"https://pith.science/api/pith-number/O7LQSGONRDHXKUMIWRVCDCY2ZG/graph.json","fetch_events":"https://pith.science/api/pith-number/O7LQSGONRDHXKUMIWRVCDCY2ZG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG/action/storage_attestation","attest_author":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG/action/author_attestation","sign_citation":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG/action/citation_signature","submit_replication":"https://pith.science/pith/O7LQSGONRDHXKUMIWRVCDCY2ZG/action/replication_record"}},"created_at":"2026-05-18T01:10:19.881195+00:00","updated_at":"2026-05-18T01:10:19.881195+00:00"}