{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZG3PQ5ZGER2MYEUDT7DIVRHOXK","short_pith_number":"pith:ZG3PQ5ZG","schema_version":"1.0","canonical_sha256":"c9b6f877262474cc12839fc68ac4eeba8d89c0a8327079635e73ed553297abe6","source":{"kind":"arxiv","id":"1702.06290","version":1},"attestation_state":"computed","paper":{"title":"The braid approach to the HOMFLYPT skein module of the lens spaces $L(p,1)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ioannis Diamantis, Sofia Lambropoulou","submitted_at":"2017-02-21T08:08:39Z","abstract_excerpt":"In this paper we present recent results toward the computation of the HOMFLYPT skein module of the lens spaces $L(p,1)$, $\\mathcal{S}\\left(L(p,1) \\right)$, via braids. Our starting point is the knot theory of the solid torus ST and the Lambropoulou invariant, $X$, for knots and links in ST, the universal analogue of the HOMFLYPT polynomial in ST. The relation between $\\mathcal{S}\\left(L(p,1) \\right)$ and $\\mathcal{S}({\\rm ST})$ is established in \\cite{DLP} and it is shown that in order to compute $\\mathcal{S}\\left(L(p,1) \\right)$, it suffices to solve an infinite system of equations obtained b"},"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":"1702.06290","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-02-21T08:08:39Z","cross_cats_sorted":[],"title_canon_sha256":"31c7d5ac57e1bc0fd05037fc10783ce22359b9061d7d5e511f803d7930e9dd56","abstract_canon_sha256":"287493226f71557fd6c95ab14e46c6b8e4f6ba22a838648e952962cfd4e6bac0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:14.531073Z","signature_b64":"5SgcM+aMXiad1PEzez33jcPUR8PGI1fYNH2IXJjqhjy4MKmPkc+HOTRSYrELLEHAvN0O4Mmku7++cwO4bzu8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9b6f877262474cc12839fc68ac4eeba8d89c0a8327079635e73ed553297abe6","last_reissued_at":"2026-05-18T00:50:14.530671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:14.530671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The braid approach to the HOMFLYPT skein module of the lens spaces $L(p,1)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ioannis Diamantis, Sofia Lambropoulou","submitted_at":"2017-02-21T08:08:39Z","abstract_excerpt":"In this paper we present recent results toward the computation of the HOMFLYPT skein module of the lens spaces $L(p,1)$, $\\mathcal{S}\\left(L(p,1) \\right)$, via braids. Our starting point is the knot theory of the solid torus ST and the Lambropoulou invariant, $X$, for knots and links in ST, the universal analogue of the HOMFLYPT polynomial in ST. The relation between $\\mathcal{S}\\left(L(p,1) \\right)$ and $\\mathcal{S}({\\rm ST})$ is established in \\cite{DLP} and it is shown that in order to compute $\\mathcal{S}\\left(L(p,1) \\right)$, it suffices to solve an infinite system of equations obtained b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06290","kind":"arxiv","version":1},"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":"1702.06290","created_at":"2026-05-18T00:50:14.530726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.06290v1","created_at":"2026-05-18T00:50:14.530726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06290","created_at":"2026-05-18T00:50:14.530726+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZG3PQ5ZGER2M","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZG3PQ5ZGER2MYEUD","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZG3PQ5ZG","created_at":"2026-05-18T12:31:59.375834+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/ZG3PQ5ZGER2MYEUDT7DIVRHOXK","json":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK.json","graph_json":"https://pith.science/api/pith-number/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/graph.json","events_json":"https://pith.science/api/pith-number/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/events.json","paper":"https://pith.science/paper/ZG3PQ5ZG"},"agent_actions":{"view_html":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK","download_json":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK.json","view_paper":"https://pith.science/paper/ZG3PQ5ZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.06290&json=true","fetch_graph":"https://pith.science/api/pith-number/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/graph.json","fetch_events":"https://pith.science/api/pith-number/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/action/storage_attestation","attest_author":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/action/author_attestation","sign_citation":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/action/citation_signature","submit_replication":"https://pith.science/pith/ZG3PQ5ZGER2MYEUDT7DIVRHOXK/action/replication_record"}},"created_at":"2026-05-18T00:50:14.530726+00:00","updated_at":"2026-05-18T00:50:14.530726+00:00"}