{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:DBPGELIIY7GBSM4U5DKS5UKWO3","short_pith_number":"pith:DBPGELII","canonical_record":{"source":{"id":"1901.00951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T00:13:19Z","cross_cats_sorted":[],"title_canon_sha256":"db77081d397ba23e796276c31f8d0712cc7fd845dd962677d31482ac9b38a24c","abstract_canon_sha256":"cb2f8462b4ca83e5132b3233a98a6c8776cb5fab1e4cbc87bbd56638a4d917a1"},"schema_version":"1.0"},"canonical_sha256":"185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5","source":{"kind":"arxiv","id":"1901.00951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00951","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00951v1","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00951","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"pith_short_12","alias_value":"DBPGELIIY7GB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DBPGELIIY7GBSM4U","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DBPGELII","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:DBPGELIIY7GBSM4U5DKS5UKWO3","target":"record","payload":{"canonical_record":{"source":{"id":"1901.00951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T00:13:19Z","cross_cats_sorted":[],"title_canon_sha256":"db77081d397ba23e796276c31f8d0712cc7fd845dd962677d31482ac9b38a24c","abstract_canon_sha256":"cb2f8462b4ca83e5132b3233a98a6c8776cb5fab1e4cbc87bbd56638a4d917a1"},"schema_version":"1.0"},"canonical_sha256":"185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:57.598425Z","signature_b64":"Zu0Y+ThDiJ5hbJwIrJt+QUX37apyDUKTrKgOM5UxM9dQGvaAWe1wa6Zq7zX148uW/x8xdX8IviB5b7RZM5pjCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5","last_reissued_at":"2026-05-17T23:56:57.597822Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:57.597822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.00951","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":"2026-05-17T23:56:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W4A2CsvCuFU4XW29w1w2RD6NrPP3NDDHm15uHRKTd6w6ptxpIbMLSIQ/1b3JA4cjr9J4oU9dmlrc788VwYkgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:21:46.893378Z"},"content_sha256":"43731cf7bb814e397ab6e7b0d3c3df1da615862f568511728eb572bfab5fea0d","schema_version":"1.0","event_id":"sha256:43731cf7bb814e397ab6e7b0d3c3df1da615862f568511728eb572bfab5fea0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:DBPGELIIY7GBSM4U5DKS5UKWO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some identities between basic hypergeometric series deriving from a new Bailey-type transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"James Mc Laughlin, Peter Zimmer","submitted_at":"2019-01-04T00:13:19Z","abstract_excerpt":"We prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00951","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":"2026-05-17T23:56:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Nr/w7vukKCqnwqsiwzOOiVxeu6r0S4A43KlpVechSZFO5Mu5iSR/B2v5qzq3/m49p4bujtY2TNOxUqLMJCwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:21:46.893730Z"},"content_sha256":"dac9443d00c377306fc0ae686bf4525767acf65f5aa56d9af47a55a2a10f3ae5","schema_version":"1.0","event_id":"sha256:dac9443d00c377306fc0ae686bf4525767acf65f5aa56d9af47a55a2a10f3ae5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/bundle.json","state_url":"https://pith.science/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/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":"2026-06-03T17:21:46Z","links":{"resolver":"https://pith.science/pith/DBPGELIIY7GBSM4U5DKS5UKWO3","bundle":"https://pith.science/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/bundle.json","state":"https://pith.science/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DBPGELIIY7GBSM4U5DKS5UKWO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DBPGELIIY7GBSM4U5DKS5UKWO3","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":"cb2f8462b4ca83e5132b3233a98a6c8776cb5fab1e4cbc87bbd56638a4d917a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T00:13:19Z","title_canon_sha256":"db77081d397ba23e796276c31f8d0712cc7fd845dd962677d31482ac9b38a24c"},"schema_version":"1.0","source":{"id":"1901.00951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00951","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00951v1","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00951","created_at":"2026-05-17T23:56:57Z"},{"alias_kind":"pith_short_12","alias_value":"DBPGELIIY7GB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DBPGELIIY7GBSM4U","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DBPGELII","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:dac9443d00c377306fc0ae686bf4525767acf65f5aa56d9af47a55a2a10f3ae5","target":"graph","created_at":"2026-05-17T23:56:57Z","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 prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series.","authors_text":"James Mc Laughlin, Peter Zimmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T00:13:19Z","title":"Some identities between basic hypergeometric series deriving from a new Bailey-type transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00951","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":"sha256:43731cf7bb814e397ab6e7b0d3c3df1da615862f568511728eb572bfab5fea0d","target":"record","created_at":"2026-05-17T23:56:57Z","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":"cb2f8462b4ca83e5132b3233a98a6c8776cb5fab1e4cbc87bbd56638a4d917a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T00:13:19Z","title_canon_sha256":"db77081d397ba23e796276c31f8d0712cc7fd845dd962677d31482ac9b38a24c"},"schema_version":"1.0","source":{"id":"1901.00951","kind":"arxiv","version":1}},"canonical_sha256":"185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5","first_computed_at":"2026-05-17T23:56:57.597822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:57.597822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zu0Y+ThDiJ5hbJwIrJt+QUX37apyDUKTrKgOM5UxM9dQGvaAWe1wa6Zq7zX148uW/x8xdX8IviB5b7RZM5pjCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:57.598425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43731cf7bb814e397ab6e7b0d3c3df1da615862f568511728eb572bfab5fea0d","sha256:dac9443d00c377306fc0ae686bf4525767acf65f5aa56d9af47a55a2a10f3ae5"],"state_sha256":"6e1054644e210ca820a07e1230251b1da178523e9097ff837aae69049e8ac7b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gUlybQDgE2CbbyYGVfzcGdxqQLn9YkKsFunCAG4fvUCDeAVbNUs6gmmM6f1EokyFisYIK1vgRG6DEazFlzMIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:21:46.895734Z","bundle_sha256":"0adba9b7090fabb5075db406e729bfc2ffe9bb85eeb0d2ce904e6a81e1d9c275"}}