{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NO5ZXWY47GPTROWONBC5Q6DFXW","short_pith_number":"pith:NO5ZXWY4","canonical_record":{"source":{"id":"1205.6706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-30T14:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"091badfa1a3d94c5d14cfbdba7420c1c2db85e5a6341f2e61b58bcba5a964daf","abstract_canon_sha256":"79e2c9b201cec48041ff20a8c7be94d73636bb94be852b56e9750f97d957380d"},"schema_version":"1.0"},"canonical_sha256":"6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3","source":{"kind":"arxiv","id":"1205.6706","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6706","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6706v1","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6706","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"NO5ZXWY47GPT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NO5ZXWY47GPTROWO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NO5ZXWY4","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NO5ZXWY47GPTROWONBC5Q6DFXW","target":"record","payload":{"canonical_record":{"source":{"id":"1205.6706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-30T14:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"091badfa1a3d94c5d14cfbdba7420c1c2db85e5a6341f2e61b58bcba5a964daf","abstract_canon_sha256":"79e2c9b201cec48041ff20a8c7be94d73636bb94be852b56e9750f97d957380d"},"schema_version":"1.0"},"canonical_sha256":"6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:38.096526Z","signature_b64":"Pj1w03I7KIIbdMSHtmybq2jXzLza0zIWT8VcdU4G1WXbXcQW4P20mmAde0JIWLLBbk4b+0AE9BEyU1ztdDU/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3","last_reissued_at":"2026-05-18T03:54:38.096028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:38.096028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.6706","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":"2026-05-18T03:54:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QWDFwW7AjPoRWALLoKqAFb+ZhsxoXmmPLGenyuoNc4iDrm8+jIpc9hQCvH/L8U+qmZSAfyI3OzITQUcca91+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:02:30.558961Z"},"content_sha256":"cdd8d425e50beda5126225391fdcb1884f670044f8a6459314efc3dddb2ec312","schema_version":"1.0","event_id":"sha256:cdd8d425e50beda5126225391fdcb1884f670044f8a6459314efc3dddb2ec312"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NO5ZXWY47GPTROWONBC5Q6DFXW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\pi and other formulae implied by hypergeometric summation theorems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Arjun K. Rathie, Xiaoxia Wang, Yong Sup Kim","submitted_at":"2012-05-30T14:47:16Z","abstract_excerpt":"By employing certain extended classical summation theorems, several surprising \\pi and other formulae are displayed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6706","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":"2026-05-18T03:54:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4jUxSziBQzG45lg3DFfg0AomfrNijFcb6jzJnkm8DfcnACsfQFSLacc81AF4Z/0Q1yiJOPeuWDKjF8aLD5+jDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:02:30.559357Z"},"content_sha256":"9b122bf4f966644882b723a7a63ca3e7333a2358373f5cf8b18da1ad65147051","schema_version":"1.0","event_id":"sha256:9b122bf4f966644882b723a7a63ca3e7333a2358373f5cf8b18da1ad65147051"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/bundle.json","state_url":"https://pith.science/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/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":"2026-06-23T18:02:30Z","links":{"resolver":"https://pith.science/pith/NO5ZXWY47GPTROWONBC5Q6DFXW","bundle":"https://pith.science/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/bundle.json","state":"https://pith.science/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NO5ZXWY47GPTROWONBC5Q6DFXW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NO5ZXWY47GPTROWONBC5Q6DFXW","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":"79e2c9b201cec48041ff20a8c7be94d73636bb94be852b56e9750f97d957380d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-30T14:47:16Z","title_canon_sha256":"091badfa1a3d94c5d14cfbdba7420c1c2db85e5a6341f2e61b58bcba5a964daf"},"schema_version":"1.0","source":{"id":"1205.6706","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6706","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6706v1","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6706","created_at":"2026-05-18T03:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"NO5ZXWY47GPT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NO5ZXWY47GPTROWO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NO5ZXWY4","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:9b122bf4f966644882b723a7a63ca3e7333a2358373f5cf8b18da1ad65147051","target":"graph","created_at":"2026-05-18T03:54:38Z","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":"By employing certain extended classical summation theorems, several surprising \\pi and other formulae are displayed.","authors_text":"Arjun K. Rathie, Xiaoxia Wang, Yong Sup Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-30T14:47:16Z","title":"\\pi and other formulae implied by hypergeometric summation theorems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6706","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:cdd8d425e50beda5126225391fdcb1884f670044f8a6459314efc3dddb2ec312","target":"record","created_at":"2026-05-18T03:54:38Z","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":"79e2c9b201cec48041ff20a8c7be94d73636bb94be852b56e9750f97d957380d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-30T14:47:16Z","title_canon_sha256":"091badfa1a3d94c5d14cfbdba7420c1c2db85e5a6341f2e61b58bcba5a964daf"},"schema_version":"1.0","source":{"id":"1205.6706","kind":"arxiv","version":1}},"canonical_sha256":"6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3","first_computed_at":"2026-05-18T03:54:38.096028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:38.096028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pj1w03I7KIIbdMSHtmybq2jXzLza0zIWT8VcdU4G1WXbXcQW4P20mmAde0JIWLLBbk4b+0AE9BEyU1ztdDU/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:38.096526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.6706","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdd8d425e50beda5126225391fdcb1884f670044f8a6459314efc3dddb2ec312","sha256:9b122bf4f966644882b723a7a63ca3e7333a2358373f5cf8b18da1ad65147051"],"state_sha256":"275fd68d3f7c93206bf5ce87c22ed3f44a99af7e461c1266e85fb7d8efa4d618"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0HssRODsP7quaBx/Xx2anRhMRznhD+AJBBYq7s8CMR/RNpHx6vFLU0NoG76ZrgM3hkxqfCPzq+rpfaLE4vQ1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:02:30.561375Z","bundle_sha256":"4720d9daa8515986a1b1062ce5fc13e8375dd156331f24371b2ba92c3737ad86"}}