{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:DLDRZ7CINITFTUPIB6QWUVEC6O","short_pith_number":"pith:DLDRZ7CI","schema_version":"1.0","canonical_sha256":"1ac71cfc486a2659d1e80fa16a5482f3b5b429ce5c99156a03460a342082cbcf","source":{"kind":"arxiv","id":"0905.3626","version":3},"attestation_state":"computed","paper":{"title":"$p$-adic framed braids II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jesus Juyumaya, Sofia Lambropoulou","submitted_at":"2009-05-22T08:16:57Z","abstract_excerpt":"The Yokonuma-Hecke algebras are quotients of the modular framed braid group and they support Markov traces. In this paper, which is sequel to Juyumaya and Lambropoulou (2007), we explore further the structures of the $p$-adic framed braids and the $p$-adic Yokonuma-Hecke algebras constructed in Juyumaya and Lambropoulou (2007), by means of dense sub-structures approximating $p$-adic elements. We also construct a $p$-adic Markov trace on the $p$-adic Yokonuma-Hecke algebras and we approximate the values of the $p$-adic trace on $p$-adic elements. Surprisingly, the Markov traces do not re-scale "},"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":"0905.3626","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-05-22T08:16:57Z","cross_cats_sorted":[],"title_canon_sha256":"13833c398c4dbb98f39eb17c6622769a9ab1fcd95d37c01933d3d03d76eca5e9","abstract_canon_sha256":"e4a824bfb292683e1eedd0bb376709c4d4cda3191d7b95f2aaa3215581b02679"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:03.038680Z","signature_b64":"5rEpyWeIKQAhtXREhg+9Jtj585gybvqlQhK19N8ugqaxrudCypXciwMDxEcI4vou16SHEM4hktBLdoocXjThCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ac71cfc486a2659d1e80fa16a5482f3b5b429ce5c99156a03460a342082cbcf","last_reissued_at":"2026-05-18T03:44:03.037721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:03.037721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$p$-adic framed braids II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jesus Juyumaya, Sofia Lambropoulou","submitted_at":"2009-05-22T08:16:57Z","abstract_excerpt":"The Yokonuma-Hecke algebras are quotients of the modular framed braid group and they support Markov traces. In this paper, which is sequel to Juyumaya and Lambropoulou (2007), we explore further the structures of the $p$-adic framed braids and the $p$-adic Yokonuma-Hecke algebras constructed in Juyumaya and Lambropoulou (2007), by means of dense sub-structures approximating $p$-adic elements. We also construct a $p$-adic Markov trace on the $p$-adic Yokonuma-Hecke algebras and we approximate the values of the $p$-adic trace on $p$-adic elements. Surprisingly, the Markov traces do not re-scale "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3626","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":"0905.3626","created_at":"2026-05-18T03:44:03.037884+00:00"},{"alias_kind":"arxiv_version","alias_value":"0905.3626v3","created_at":"2026-05-18T03:44:03.037884+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3626","created_at":"2026-05-18T03:44:03.037884+00:00"},{"alias_kind":"pith_short_12","alias_value":"DLDRZ7CINITF","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"DLDRZ7CINITFTUPI","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"DLDRZ7CI","created_at":"2026-05-18T12:25:59.703012+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/DLDRZ7CINITFTUPIB6QWUVEC6O","json":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O.json","graph_json":"https://pith.science/api/pith-number/DLDRZ7CINITFTUPIB6QWUVEC6O/graph.json","events_json":"https://pith.science/api/pith-number/DLDRZ7CINITFTUPIB6QWUVEC6O/events.json","paper":"https://pith.science/paper/DLDRZ7CI"},"agent_actions":{"view_html":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O","download_json":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O.json","view_paper":"https://pith.science/paper/DLDRZ7CI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0905.3626&json=true","fetch_graph":"https://pith.science/api/pith-number/DLDRZ7CINITFTUPIB6QWUVEC6O/graph.json","fetch_events":"https://pith.science/api/pith-number/DLDRZ7CINITFTUPIB6QWUVEC6O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O/action/storage_attestation","attest_author":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O/action/author_attestation","sign_citation":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O/action/citation_signature","submit_replication":"https://pith.science/pith/DLDRZ7CINITFTUPIB6QWUVEC6O/action/replication_record"}},"created_at":"2026-05-18T03:44:03.037884+00:00","updated_at":"2026-05-18T03:44:03.037884+00:00"}