{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3KSSMKW5MTS2RORM2CBA2YYQNT","short_pith_number":"pith:3KSSMKW5","canonical_record":{"source":{"id":"1204.3399","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-04-16T08:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"2c01d3ef279e2e6bcd467e02dd152ee1f79912946808a9741e5c28a53b8c7747","abstract_canon_sha256":"4aa57fe315bb6608082c88ea338bfaa503b1ee691bcb2ed05c1c106602cb5621"},"schema_version":"1.0"},"canonical_sha256":"daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7","source":{"kind":"arxiv","id":"1204.3399","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3399","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3399v2","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3399","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"3KSSMKW5MTS2","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KSSMKW5MTS2RORM","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KSSMKW5","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3KSSMKW5MTS2RORM2CBA2YYQNT","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3399","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-04-16T08:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"2c01d3ef279e2e6bcd467e02dd152ee1f79912946808a9741e5c28a53b8c7747","abstract_canon_sha256":"4aa57fe315bb6608082c88ea338bfaa503b1ee691bcb2ed05c1c106602cb5621"},"schema_version":"1.0"},"canonical_sha256":"daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:17.760541Z","signature_b64":"ikfC5u5y8pay13NNRwnU6zVIInXgUSFw2X3ffyxK6WTBebO4SePNiM2FXOD62XKsJtFz5dz/Fu9bmllg3NiOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7","last_reissued_at":"2026-05-18T03:31:17.759816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:17.759816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3399","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JkBscwxJORGVPr592XsLqB0+Lpnmw5n4WKVB0X9Bg2iwF5VQCNyxvjQ/LlVcu5N7dxw02GJTik0dpYHNJ8dVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:19:56.963898Z"},"content_sha256":"9531421261a2086dc60464c83de9c611d3e8a658d2687ef793f7fc3cae6ded2a","schema_version":"1.0","event_id":"sha256:9531421261a2086dc60464c83de9c611d3e8a658d2687ef793f7fc3cae6ded2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3KSSMKW5MTS2RORM2CBA2YYQNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a strange evaluation of the hypergeometric series by Gosper","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Akihito Ebisu","submitted_at":"2012-04-16T08:31:24Z","abstract_excerpt":"In a series of letters to D.Stanton, R.W.Gosper presented many strange evaluations of hypergeometric series. Recently, we rediscovered one of the strange hypergeometric identities appearing in [Go]. In this paper, we prove this identity and derive its generalization using contiguity operators. \nKey Words and Phrases: hypergeometric series, strange evaluation, contiguity operator. 2010 Mathematics Subject Classification Numbers: 33C05."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3399","kind":"arxiv","version":2},"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":"2026-05-18T03:31:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RbkL8Va0hiYpJLc59rZ+XoY81KgGbdzU72VgS/pQkkhw/Vl0NNXMr27g9QgEpXnwwcS2TwD1YqDbzX6Mgkx3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:19:56.964578Z"},"content_sha256":"e4f9b462a3f53eecebb2c39303d1df83d0ddfda4f76014c51fd376cd5ec5e30e","schema_version":"1.0","event_id":"sha256:e4f9b462a3f53eecebb2c39303d1df83d0ddfda4f76014c51fd376cd5ec5e30e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/bundle.json","state_url":"https://pith.science/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/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":"2026-06-11T02:19:56Z","links":{"resolver":"https://pith.science/pith/3KSSMKW5MTS2RORM2CBA2YYQNT","bundle":"https://pith.science/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/bundle.json","state":"https://pith.science/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KSSMKW5MTS2RORM2CBA2YYQNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3KSSMKW5MTS2RORM2CBA2YYQNT","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":"4aa57fe315bb6608082c88ea338bfaa503b1ee691bcb2ed05c1c106602cb5621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-04-16T08:31:24Z","title_canon_sha256":"2c01d3ef279e2e6bcd467e02dd152ee1f79912946808a9741e5c28a53b8c7747"},"schema_version":"1.0","source":{"id":"1204.3399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3399","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3399v2","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3399","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"3KSSMKW5MTS2","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KSSMKW5MTS2RORM","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KSSMKW5","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:e4f9b462a3f53eecebb2c39303d1df83d0ddfda4f76014c51fd376cd5ec5e30e","target":"graph","created_at":"2026-05-18T03:31:17Z","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":"In a series of letters to D.Stanton, R.W.Gosper presented many strange evaluations of hypergeometric series. Recently, we rediscovered one of the strange hypergeometric identities appearing in [Go]. In this paper, we prove this identity and derive its generalization using contiguity operators. \nKey Words and Phrases: hypergeometric series, strange evaluation, contiguity operator. 2010 Mathematics Subject Classification Numbers: 33C05.","authors_text":"Akihito Ebisu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-04-16T08:31:24Z","title":"On a strange evaluation of the hypergeometric series by Gosper"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3399","kind":"arxiv","version":2},"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":"sha256:9531421261a2086dc60464c83de9c611d3e8a658d2687ef793f7fc3cae6ded2a","target":"record","created_at":"2026-05-18T03:31:17Z","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":"4aa57fe315bb6608082c88ea338bfaa503b1ee691bcb2ed05c1c106602cb5621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-04-16T08:31:24Z","title_canon_sha256":"2c01d3ef279e2e6bcd467e02dd152ee1f79912946808a9741e5c28a53b8c7747"},"schema_version":"1.0","source":{"id":"1204.3399","kind":"arxiv","version":2}},"canonical_sha256":"daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7","first_computed_at":"2026-05-18T03:31:17.759816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:17.759816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ikfC5u5y8pay13NNRwnU6zVIInXgUSFw2X3ffyxK6WTBebO4SePNiM2FXOD62XKsJtFz5dz/Fu9bmllg3NiOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:17.760541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9531421261a2086dc60464c83de9c611d3e8a658d2687ef793f7fc3cae6ded2a","sha256:e4f9b462a3f53eecebb2c39303d1df83d0ddfda4f76014c51fd376cd5ec5e30e"],"state_sha256":"99baf1ce448f08fd99bbe112ecf1c32d6096b66981643534ae8bf5018e0aea5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOCCeUc6a4l6zkausSCXnCCIpsCEvjHb2qicqrY8hwP5H9MHwBqwXsZApaseWBGgwhRAyqtr2T5uv7s/W+M7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:19:56.968084Z","bundle_sha256":"51d1928dcc33e0e611c5a197cefb0c50c0dce1cff15a76dcc42aefe96ea22ea5"}}