{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FTQHFZPHC3G4ZX6M7LUKOKAH2D","short_pith_number":"pith:FTQHFZPH","canonical_record":{"source":{"id":"1504.07108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-27T14:31:12Z","cross_cats_sorted":[],"title_canon_sha256":"9f4020343e33f30d8c5a4e4848b95a48dff4d66db74f48e7ee671cd2ccfe97bf","abstract_canon_sha256":"6be07b62676e812adab5ceea9759431b7b92bf07b13f8645b88b64f92a15e88d"},"schema_version":"1.0"},"canonical_sha256":"2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0","source":{"kind":"arxiv","id":"1504.07108","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07108","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07108v2","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07108","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"FTQHFZPHC3G4","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FTQHFZPHC3G4ZX6M","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FTQHFZPH","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FTQHFZPHC3G4ZX6M7LUKOKAH2D","target":"record","payload":{"canonical_record":{"source":{"id":"1504.07108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-27T14:31:12Z","cross_cats_sorted":[],"title_canon_sha256":"9f4020343e33f30d8c5a4e4848b95a48dff4d66db74f48e7ee671cd2ccfe97bf","abstract_canon_sha256":"6be07b62676e812adab5ceea9759431b7b92bf07b13f8645b88b64f92a15e88d"},"schema_version":"1.0"},"canonical_sha256":"2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:10.762421Z","signature_b64":"zxlD/XPE766p2FMkqzBLvyX73dTD1JgMnvU16yzGZ8Nw3u9Zbkfa+dEWAhczJjYnJXG7m6TlkxcVz9jg05CpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0","last_reissued_at":"2026-05-18T00:53:10.761763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:10.761763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.07108","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":"2026-05-18T00:53:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lkJdHl6H3M7QFZmGnoLyrLnB6a0ckGHjOcZpKnUKY7SNt5ejqzWguqLkIkdP6V4b/9KWYShMkBgBYsEH5CGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:26:57.461244Z"},"content_sha256":"c32b1e45743ffee4c6d3edc20501a8759c0784388cbb93fb2da005f6c47e1144","schema_version":"1.0","event_id":"sha256:c32b1e45743ffee4c6d3edc20501a8759c0784388cbb93fb2da005f6c47e1144"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FTQHFZPHC3G4ZX6M7LUKOKAH2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivation of a $BC_n$ elliptic summation formula via the fundamental invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Masahiko Ito, Masatoshi Noumi","submitted_at":"2015-04-27T14:31:12Z","abstract_excerpt":"We give an alternative proof of an elliptic summation formula of type $BC_n$ by applying the fundamental $BC_n$ invariants to the study of Jackson integrals associated with the summation formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07108","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":"2026-05-18T00:53:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXBrd2OTQq/jZBDDrfsRap9Ek9LM0z1Ymvi5vKLHLCY22btLNerIxssFuWzoRclDeGV4sc38jR+sXs0/KxeMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:26:57.461617Z"},"content_sha256":"82240de994ab632d36151316b6def8fa377e31d9e291e0fbd259ac7ff93df738","schema_version":"1.0","event_id":"sha256:82240de994ab632d36151316b6def8fa377e31d9e291e0fbd259ac7ff93df738"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/bundle.json","state_url":"https://pith.science/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/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":"2026-05-28T15:26:57Z","links":{"resolver":"https://pith.science/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D","bundle":"https://pith.science/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/bundle.json","state":"https://pith.science/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTQHFZPHC3G4ZX6M7LUKOKAH2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FTQHFZPHC3G4ZX6M7LUKOKAH2D","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":"6be07b62676e812adab5ceea9759431b7b92bf07b13f8645b88b64f92a15e88d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-27T14:31:12Z","title_canon_sha256":"9f4020343e33f30d8c5a4e4848b95a48dff4d66db74f48e7ee671cd2ccfe97bf"},"schema_version":"1.0","source":{"id":"1504.07108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07108","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07108v2","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07108","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"FTQHFZPHC3G4","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FTQHFZPHC3G4ZX6M","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FTQHFZPH","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:82240de994ab632d36151316b6def8fa377e31d9e291e0fbd259ac7ff93df738","target":"graph","created_at":"2026-05-18T00:53:10Z","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 give an alternative proof of an elliptic summation formula of type $BC_n$ by applying the fundamental $BC_n$ invariants to the study of Jackson integrals associated with the summation formula.","authors_text":"Masahiko Ito, Masatoshi Noumi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-27T14:31:12Z","title":"Derivation of a $BC_n$ elliptic summation formula via the fundamental invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07108","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:c32b1e45743ffee4c6d3edc20501a8759c0784388cbb93fb2da005f6c47e1144","target":"record","created_at":"2026-05-18T00:53:10Z","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":"6be07b62676e812adab5ceea9759431b7b92bf07b13f8645b88b64f92a15e88d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-27T14:31:12Z","title_canon_sha256":"9f4020343e33f30d8c5a4e4848b95a48dff4d66db74f48e7ee671cd2ccfe97bf"},"schema_version":"1.0","source":{"id":"1504.07108","kind":"arxiv","version":2}},"canonical_sha256":"2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0","first_computed_at":"2026-05-18T00:53:10.761763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:10.761763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zxlD/XPE766p2FMkqzBLvyX73dTD1JgMnvU16yzGZ8Nw3u9Zbkfa+dEWAhczJjYnJXG7m6TlkxcVz9jg05CpBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:10.762421Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c32b1e45743ffee4c6d3edc20501a8759c0784388cbb93fb2da005f6c47e1144","sha256:82240de994ab632d36151316b6def8fa377e31d9e291e0fbd259ac7ff93df738"],"state_sha256":"9a8ded4826b83e7e5ab7a2ba86658621c700303f7dd9d89911df18b09eb0808c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlPN5qlZnQoPOL65t8QkmEVQQwMULK4yj1ALubqgriZvYdL41e2nSFN0UhVQBdp2ThxGRcHfH1RuAy2D/rJ7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T15:26:57.463838Z","bundle_sha256":"3c01d872e933b3b773eee491f7f5a528315c2a39e2660c396172c991a8d6c926"}}