{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SXLEQ2EOE5GLYN5JAHKHRS2Y7L","short_pith_number":"pith:SXLEQ2EO","schema_version":"1.0","canonical_sha256":"95d648688e274cbc37a901d478cb58fadbeef819f23e19fc67ffe1e5d01c171f","source":{"kind":"arxiv","id":"1204.4963","version":3},"attestation_state":"computed","paper":{"title":"A family of two-variable derivative polynomials for tangent and secant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Shi-Mei Ma","submitted_at":"2012-04-23T02:19:04Z","abstract_excerpt":"In this paper we introduce a family of two-variable derivative polynomials for tangent and secant. We study the generating functions for the coefficients of this family of polynomials. In particular, we establish a connection between these generating functions and Eulerian polynomials."},"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":"1204.4963","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-04-23T02:19:04Z","cross_cats_sorted":[],"title_canon_sha256":"a81259307e78bf63a95b73ea3c7e22b70551152386d81f650cab7b61eb4569a5","abstract_canon_sha256":"b66ac1d569df9f6d3725097ab8472ba4be04abb5503e9187c831e9e45cb69ebd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:57.124803Z","signature_b64":"o7SP+8N+QuYeIsaoseEf6XSyW1FNn4kPmQnjw1R1/Oty4hjXlAybRsuFVH8IqzyI4qxq4UnaWq/yz++GelXUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95d648688e274cbc37a901d478cb58fadbeef819f23e19fc67ffe1e5d01c171f","last_reissued_at":"2026-05-18T03:55:57.124213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:57.124213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A family of two-variable derivative polynomials for tangent and secant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Shi-Mei Ma","submitted_at":"2012-04-23T02:19:04Z","abstract_excerpt":"In this paper we introduce a family of two-variable derivative polynomials for tangent and secant. We study the generating functions for the coefficients of this family of polynomials. In particular, we establish a connection between these generating functions and Eulerian polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4963","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":"1204.4963","created_at":"2026-05-18T03:55:57.124310+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.4963v3","created_at":"2026-05-18T03:55:57.124310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4963","created_at":"2026-05-18T03:55:57.124310+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXLEQ2EOE5GL","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXLEQ2EOE5GLYN5J","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXLEQ2EO","created_at":"2026-05-18T12:27:23.164592+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/SXLEQ2EOE5GLYN5JAHKHRS2Y7L","json":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L.json","graph_json":"https://pith.science/api/pith-number/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/graph.json","events_json":"https://pith.science/api/pith-number/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/events.json","paper":"https://pith.science/paper/SXLEQ2EO"},"agent_actions":{"view_html":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L","download_json":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L.json","view_paper":"https://pith.science/paper/SXLEQ2EO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.4963&json=true","fetch_graph":"https://pith.science/api/pith-number/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/graph.json","fetch_events":"https://pith.science/api/pith-number/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/action/storage_attestation","attest_author":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/action/author_attestation","sign_citation":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/action/citation_signature","submit_replication":"https://pith.science/pith/SXLEQ2EOE5GLYN5JAHKHRS2Y7L/action/replication_record"}},"created_at":"2026-05-18T03:55:57.124310+00:00","updated_at":"2026-05-18T03:55:57.124310+00:00"}