{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:HYHV7HST6CMXYYZFEUMSR6KYIF","short_pith_number":"pith:HYHV7HST","canonical_record":{"source":{"id":"math/0403481","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2004-03-29T19:56:16Z","cross_cats_sorted":[],"title_canon_sha256":"94c815eac1f0b256f1542d3c50fe06e921ec339d3bff23d047fe8ccbda0c16cf","abstract_canon_sha256":"8aaf0cb4e0e5f75d99873e2b5f95d7d6881513db8f9c313d3dec12ed946914f7"},"schema_version":"1.0"},"canonical_sha256":"3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d","source":{"kind":"arxiv","id":"math/0403481","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0403481","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"math/0403481v1","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0403481","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"HYHV7HST6CMX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"HYHV7HST6CMXYYZF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"HYHV7HST","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:HYHV7HST6CMXYYZFEUMSR6KYIF","target":"record","payload":{"canonical_record":{"source":{"id":"math/0403481","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2004-03-29T19:56:16Z","cross_cats_sorted":[],"title_canon_sha256":"94c815eac1f0b256f1542d3c50fe06e921ec339d3bff23d047fe8ccbda0c16cf","abstract_canon_sha256":"8aaf0cb4e0e5f75d99873e2b5f95d7d6881513db8f9c313d3dec12ed946914f7"},"schema_version":"1.0"},"canonical_sha256":"3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:03.243686Z","signature_b64":"BlpzasJYe96oju+09FpqJWUNFT33XSYRfpKMKByK8PxZoYR+S9MFsW4SJEgW8ZW85EZ+7MfU90B2w7iXX+VGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d","last_reissued_at":"2026-05-17T23:53:03.243014Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:03.243014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0403481","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y8qIlEyEQtPNtVHsNMvWZ0GeTVnHRNPDosWWmlGDxCVH21BEg8eRAb4D10xmBBJUUPE0RtdZbsQu5ah+AiN4CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:18:32.684201Z"},"content_sha256":"8f3323699611de0ba2bb257a52e00cd543c4a8a920cd4068ad16be693604180a","schema_version":"1.0","event_id":"sha256:8f3323699611de0ba2bb257a52e00cd543c4a8a920cd4068ad16be693604180a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:HYHV7HST6CMXYYZFEUMSR6KYIF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some curious q-series expansions and beta integral evaluations","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"George Gasper, Michael Schlosser","submitted_at":"2004-03-29T19:56:16Z","abstract_excerpt":"We deduce several curious q-series expansions by applying inverse relations to certain identities for basic hypergeometric series. After rewriting some of these expansions in terms of q-integrals, we obtain, in the limit q -> 1, some curious beta-type integral evaluations which appear to be new."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0403481","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yqdRsvalg8tpLxtrgP/iiadxWfKXGW2otqDqZfGymLRVnscKFacbYCRs8bHmng7XjFDMRTsi1UBUDneFhZIjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T22:18:32.684576Z"},"content_sha256":"04efcf0327db4948eee3fcda23b613cf06301e6c0d03cde4eb58337b5e649bb2","schema_version":"1.0","event_id":"sha256:04efcf0327db4948eee3fcda23b613cf06301e6c0d03cde4eb58337b5e649bb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/bundle.json","state_url":"https://pith.science/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T22:18:32Z","links":{"resolver":"https://pith.science/pith/HYHV7HST6CMXYYZFEUMSR6KYIF","bundle":"https://pith.science/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/bundle.json","state":"https://pith.science/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYHV7HST6CMXYYZFEUMSR6KYIF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:HYHV7HST6CMXYYZFEUMSR6KYIF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8aaf0cb4e0e5f75d99873e2b5f95d7d6881513db8f9c313d3dec12ed946914f7","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-03-29T19:56:16Z","title_canon_sha256":"94c815eac1f0b256f1542d3c50fe06e921ec339d3bff23d047fe8ccbda0c16cf"},"schema_version":"1.0","source":{"id":"math/0403481","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0403481","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"math/0403481v1","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0403481","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"HYHV7HST6CMX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"HYHV7HST6CMXYYZF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"HYHV7HST","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:04efcf0327db4948eee3fcda23b613cf06301e6c0d03cde4eb58337b5e649bb2","target":"graph","created_at":"2026-05-17T23:53:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We deduce several curious q-series expansions by applying inverse relations to certain identities for basic hypergeometric series. After rewriting some of these expansions in terms of q-integrals, we obtain, in the limit q -> 1, some curious beta-type integral evaluations which appear to be new.","authors_text":"George Gasper, Michael Schlosser","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2004-03-29T19:56:16Z","title":"Some curious q-series expansions and beta integral evaluations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0403481","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8f3323699611de0ba2bb257a52e00cd543c4a8a920cd4068ad16be693604180a","target":"record","created_at":"2026-05-17T23:53:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8aaf0cb4e0e5f75d99873e2b5f95d7d6881513db8f9c313d3dec12ed946914f7","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-03-29T19:56:16Z","title_canon_sha256":"94c815eac1f0b256f1542d3c50fe06e921ec339d3bff23d047fe8ccbda0c16cf"},"schema_version":"1.0","source":{"id":"math/0403481","kind":"arxiv","version":1}},"canonical_sha256":"3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d","first_computed_at":"2026-05-17T23:53:03.243014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:03.243014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BlpzasJYe96oju+09FpqJWUNFT33XSYRfpKMKByK8PxZoYR+S9MFsW4SJEgW8ZW85EZ+7MfU90B2w7iXX+VGAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:03.243686Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0403481","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f3323699611de0ba2bb257a52e00cd543c4a8a920cd4068ad16be693604180a","sha256:04efcf0327db4948eee3fcda23b613cf06301e6c0d03cde4eb58337b5e649bb2"],"state_sha256":"c4ef8af87a3e5f6e552681c4a31d18063a7deedc0edf244f938458fa51743993"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tv7fUfPP0qRlfwOP5Vmz7WrAiksoZbwwFy1f7z9w6tOVKDW5K7nwiRxsUxnSiRC2x2fbgp/0+OcUdW7Muq8tCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T22:18:32.686572Z","bundle_sha256":"ad4186ce3d635ecf27b10d9215dc31b4ab6a27f6d7cf8163836a95d495083586"}}