{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:PWEM4A3NZT74ESQFDASKILJT5B","short_pith_number":"pith:PWEM4A3N","schema_version":"1.0","canonical_sha256":"7d88ce036dccffc24a051824a42d33e84df47d1524e5e6d519c28a78d68339f2","source":{"kind":"arxiv","id":"1902.04389","version":1},"attestation_state":"computed","paper":{"title":"Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Biswajyoti Saha","submitted_at":"2019-02-12T13:56:14Z","abstract_excerpt":"In this article, we study the local behaviour of the multiple zeta functions at integer points and write down a Laurent type expansion of the multiple zeta functions around these points. Such an expansion involves a convergent power series whose coefficients are obtained by a regularisation process, similar to the one used in defining the classical Stieltjes constants for the Riemann zeta function. We therefore call these coefficients {\\it multiple Stieltjes constants}. The remaining part of the above mentioned Laurent type expansion is then expressed in terms of the multiple Stieltjes constan"},"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":"1902.04389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-02-12T13:56:14Z","cross_cats_sorted":[],"title_canon_sha256":"40e25ce97f53a1a1b363a4e943c89dc9fd62978305c185bb51acfb3dd55b25b6","abstract_canon_sha256":"f28ca13ef2a837ce039b5c892fa55b538cbbe473d14caf9d3ac60db9f3d8211f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:12.409824Z","signature_b64":"ZJinylDOrrjwclukAfYEkwAwBg/r6+NmEnarjY8ay0pw4zo4DJ01x6P8slgfd/iv6gBWa/1jPLVURceztTkmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d88ce036dccffc24a051824a42d33e84df47d1524e5e6d519c28a78d68339f2","last_reissued_at":"2026-05-17T23:54:12.409353Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:12.409353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Biswajyoti Saha","submitted_at":"2019-02-12T13:56:14Z","abstract_excerpt":"In this article, we study the local behaviour of the multiple zeta functions at integer points and write down a Laurent type expansion of the multiple zeta functions around these points. Such an expansion involves a convergent power series whose coefficients are obtained by a regularisation process, similar to the one used in defining the classical Stieltjes constants for the Riemann zeta function. We therefore call these coefficients {\\it multiple Stieltjes constants}. The remaining part of the above mentioned Laurent type expansion is then expressed in terms of the multiple Stieltjes constan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04389","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":"1902.04389","created_at":"2026-05-17T23:54:12.409421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.04389v1","created_at":"2026-05-17T23:54:12.409421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04389","created_at":"2026-05-17T23:54:12.409421+00:00"},{"alias_kind":"pith_short_12","alias_value":"PWEM4A3NZT74","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"PWEM4A3NZT74ESQF","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"PWEM4A3N","created_at":"2026-05-18T12:33:24.271573+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/PWEM4A3NZT74ESQFDASKILJT5B","json":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B.json","graph_json":"https://pith.science/api/pith-number/PWEM4A3NZT74ESQFDASKILJT5B/graph.json","events_json":"https://pith.science/api/pith-number/PWEM4A3NZT74ESQFDASKILJT5B/events.json","paper":"https://pith.science/paper/PWEM4A3N"},"agent_actions":{"view_html":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B","download_json":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B.json","view_paper":"https://pith.science/paper/PWEM4A3N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.04389&json=true","fetch_graph":"https://pith.science/api/pith-number/PWEM4A3NZT74ESQFDASKILJT5B/graph.json","fetch_events":"https://pith.science/api/pith-number/PWEM4A3NZT74ESQFDASKILJT5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B/action/storage_attestation","attest_author":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B/action/author_attestation","sign_citation":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B/action/citation_signature","submit_replication":"https://pith.science/pith/PWEM4A3NZT74ESQFDASKILJT5B/action/replication_record"}},"created_at":"2026-05-17T23:54:12.409421+00:00","updated_at":"2026-05-17T23:54:12.409421+00:00"}