{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:35WTI3BKM2LZL5L2C7ANHKIOH5","short_pith_number":"pith:35WTI3BK","schema_version":"1.0","canonical_sha256":"df6d346c2a669795f57a17c0d3a90e3f7e67dde0a8af449d2638753731011085","source":{"kind":"arxiv","id":"1808.04206","version":1},"attestation_state":"computed","paper":{"title":"A presentation for the symplectic blob algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Alison Parker, Paul Martin, Richard Green","submitted_at":"2018-08-10T17:42:32Z","abstract_excerpt":"The symplectic blob algebra $b_n$ ($n \\in \\mathbb{N}$) is a finite dimensional algebra defined by a multiplication rule on a basis of certain diagrams. The rank $r(n)$ of $b_n$ is not known in general, but\n  $r(n)/n$ grows unboundedly with $n$. For each $b_n$ we define an algebra by presentation, such that the number of generators and relations grows linearly with $n$. We prove that these algebras are isomorphic."},"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":"1808.04206","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-08-10T17:42:32Z","cross_cats_sorted":[],"title_canon_sha256":"b1844fb8751b10ce2367b505fda034f71056a0ede560cff70ea210266e89a045","abstract_canon_sha256":"f327c7a668b82de7824d2cdb51d6d9d027466c024ce86d3c8922b886c005bce2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:18.597223Z","signature_b64":"ws+E/3qjZTVXzdthVXz/V1ZzLMA3JZaEdO1nqGS/c4OlLGW2MqHYSyvXDRo0oDRpB+yxe4ESXCarm4gfXDyhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df6d346c2a669795f57a17c0d3a90e3f7e67dde0a8af449d2638753731011085","last_reissued_at":"2026-05-18T00:08:18.596787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:18.596787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A presentation for the symplectic blob algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Alison Parker, Paul Martin, Richard Green","submitted_at":"2018-08-10T17:42:32Z","abstract_excerpt":"The symplectic blob algebra $b_n$ ($n \\in \\mathbb{N}$) is a finite dimensional algebra defined by a multiplication rule on a basis of certain diagrams. The rank $r(n)$ of $b_n$ is not known in general, but\n  $r(n)/n$ grows unboundedly with $n$. For each $b_n$ we define an algebra by presentation, such that the number of generators and relations grows linearly with $n$. We prove that these algebras are isomorphic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04206","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":"1808.04206","created_at":"2026-05-18T00:08:18.596851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.04206v1","created_at":"2026-05-18T00:08:18.596851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04206","created_at":"2026-05-18T00:08:18.596851+00:00"},{"alias_kind":"pith_short_12","alias_value":"35WTI3BKM2LZ","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"35WTI3BKM2LZL5L2","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"35WTI3BK","created_at":"2026-05-18T12:32:02.567920+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/35WTI3BKM2LZL5L2C7ANHKIOH5","json":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5.json","graph_json":"https://pith.science/api/pith-number/35WTI3BKM2LZL5L2C7ANHKIOH5/graph.json","events_json":"https://pith.science/api/pith-number/35WTI3BKM2LZL5L2C7ANHKIOH5/events.json","paper":"https://pith.science/paper/35WTI3BK"},"agent_actions":{"view_html":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5","download_json":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5.json","view_paper":"https://pith.science/paper/35WTI3BK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.04206&json=true","fetch_graph":"https://pith.science/api/pith-number/35WTI3BKM2LZL5L2C7ANHKIOH5/graph.json","fetch_events":"https://pith.science/api/pith-number/35WTI3BKM2LZL5L2C7ANHKIOH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5/action/storage_attestation","attest_author":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5/action/author_attestation","sign_citation":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5/action/citation_signature","submit_replication":"https://pith.science/pith/35WTI3BKM2LZL5L2C7ANHKIOH5/action/replication_record"}},"created_at":"2026-05-18T00:08:18.596851+00:00","updated_at":"2026-05-18T00:08:18.596851+00:00"}