{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:PZLHDBITYAUBHGZC4B4GPDLE6Q","short_pith_number":"pith:PZLHDBIT","schema_version":"1.0","canonical_sha256":"7e56718513c028139b22e078678d64f420c5249be039d1337bb81e2ca7d1de53","source":{"kind":"arxiv","id":"0901.1883","version":1},"attestation_state":"computed","paper":{"title":"Hankel determinants of Dirichlet series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NT","authors_text":"H. Monien","submitted_at":"2009-01-14T17:50:34Z","abstract_excerpt":"We derive a general expression for the Hankel determinants of a Dirichlet series F(s) and derive the asymptotic behavior for the special case that F(s) is the Riemann zeta function. In this case the Hankel determinant is a discrete analogue of the Selberg integral and can be viewed as a matrix integral with discrete measure. We briefly comment on its relation to Plancherel measures."},"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":"0901.1883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-01-14T17:50:34Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"fd3836fe3915bfb4c07bc005dca832039b764ae94878c0dbd6f0b994f771f8d3","abstract_canon_sha256":"274555ea47bfa362cc23315ff9cf680500165b29c42f427ebad7805c87aa1c37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:10.011897Z","signature_b64":"sbcMdIFSjDXj/raegvB0i3SveVcGhRVtuIV/rTsfSEG8pdgwOnkYc5MO53Use8uv+n3pOMp9/LmbyY++ljvaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e56718513c028139b22e078678d64f420c5249be039d1337bb81e2ca7d1de53","last_reissued_at":"2026-07-04T15:36:10.011361Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:10.011361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hankel determinants of Dirichlet series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NT","authors_text":"H. Monien","submitted_at":"2009-01-14T17:50:34Z","abstract_excerpt":"We derive a general expression for the Hankel determinants of a Dirichlet series F(s) and derive the asymptotic behavior for the special case that F(s) is the Riemann zeta function. In this case the Hankel determinant is a discrete analogue of the Selberg integral and can be viewed as a matrix integral with discrete measure. We briefly comment on its relation to Plancherel measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1883","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0901.1883/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0901.1883","created_at":"2026-07-04T15:36:10.011443+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.1883v1","created_at":"2026-07-04T15:36:10.011443+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1883","created_at":"2026-07-04T15:36:10.011443+00:00"},{"alias_kind":"pith_short_12","alias_value":"PZLHDBITYAUB","created_at":"2026-07-04T15:36:10.011443+00:00"},{"alias_kind":"pith_short_16","alias_value":"PZLHDBITYAUBHGZC","created_at":"2026-07-04T15:36:10.011443+00:00"},{"alias_kind":"pith_short_8","alias_value":"PZLHDBIT","created_at":"2026-07-04T15:36:10.011443+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.08426","citing_title":"Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values","ref_index":23,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q","json":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q.json","graph_json":"https://pith.science/api/pith-number/PZLHDBITYAUBHGZC4B4GPDLE6Q/graph.json","events_json":"https://pith.science/api/pith-number/PZLHDBITYAUBHGZC4B4GPDLE6Q/events.json","paper":"https://pith.science/paper/PZLHDBIT"},"agent_actions":{"view_html":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q","download_json":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q.json","view_paper":"https://pith.science/paper/PZLHDBIT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.1883&json=true","fetch_graph":"https://pith.science/api/pith-number/PZLHDBITYAUBHGZC4B4GPDLE6Q/graph.json","fetch_events":"https://pith.science/api/pith-number/PZLHDBITYAUBHGZC4B4GPDLE6Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q/action/storage_attestation","attest_author":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q/action/author_attestation","sign_citation":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q/action/citation_signature","submit_replication":"https://pith.science/pith/PZLHDBITYAUBHGZC4B4GPDLE6Q/action/replication_record"}},"created_at":"2026-07-04T15:36:10.011443+00:00","updated_at":"2026-07-04T15:36:10.011443+00:00"}