{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GMHCXQNU4IUGG3D5GISVHEHFLA","short_pith_number":"pith:GMHCXQNU","canonical_record":{"source":{"id":"1405.3215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-13T16:19:05Z","cross_cats_sorted":[],"title_canon_sha256":"6a3d84328b8a798c9db7b0cac47a3b282feb54f1de52211b5a74f01f7db2734b","abstract_canon_sha256":"79644f9a123588e18f48f64f76e92c55560c7fe758684754895776b5bda636c7"},"schema_version":"1.0"},"canonical_sha256":"330e2bc1b4e228636c7d32255390e55811a38f59719e0862735c9638189d26e1","source":{"kind":"arxiv","id":"1405.3215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3215","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3215v1","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3215","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"GMHCXQNU4IUG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GMHCXQNU4IUGG3D5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GMHCXQNU","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GMHCXQNU4IUGG3D5GISVHEHFLA","target":"record","payload":{"canonical_record":{"source":{"id":"1405.3215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-13T16:19:05Z","cross_cats_sorted":[],"title_canon_sha256":"6a3d84328b8a798c9db7b0cac47a3b282feb54f1de52211b5a74f01f7db2734b","abstract_canon_sha256":"79644f9a123588e18f48f64f76e92c55560c7fe758684754895776b5bda636c7"},"schema_version":"1.0"},"canonical_sha256":"330e2bc1b4e228636c7d32255390e55811a38f59719e0862735c9638189d26e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:57.539979Z","signature_b64":"YoDcu9g8Me7CRuvQDM1pLBJLnpu2K/uQFI4Nmu3fXS8msSYfmO3XIvWyBbi7nrhcM8PfEAXMM/kKiYPfxSpZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"330e2bc1b4e228636c7d32255390e55811a38f59719e0862735c9638189d26e1","last_reissued_at":"2026-05-18T02:51:57.539490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:57.539490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.3215","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":"2026-05-18T02:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuE1Udwv/LTwFIu4DAcVVuM0ZomEv5F9j8RPDqRfxm+V1uR3iGs6P8tnwV2IB9Aa0ZLnVN/RWxXzgrhX9HWdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:27:00.220558Z"},"content_sha256":"deffc8e915e7a2527a85ca5d04aa9cc95cab0a76668c144f7667782ce90f5210","schema_version":"1.0","event_id":"sha256:deffc8e915e7a2527a85ca5d04aa9cc95cab0a76668c144f7667782ce90f5210"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GMHCXQNU4IUGG3D5GISVHEHFLA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Determinant for the Coulomb potential on the three-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J.S.Dowker","submitted_at":"2014-05-13T16:19:05Z","abstract_excerpt":"The functional determinant for a Coulomb potential (or mass squared) on a three-sphere is computed numerically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3215","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":"2026-05-18T02:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0e6thkDVkpoxkQvcZmyDxaYn2Il8lIcJHOWqfmTH2xWVVwPhhrUIQ7XbgchWhWl9tucAnBG2xWD2G3llmofzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:27:00.221200Z"},"content_sha256":"60e1b99bb4604932bc00c1b3f9d8df4348536c22fb6aad10291c8260bd3fc4c6","schema_version":"1.0","event_id":"sha256:60e1b99bb4604932bc00c1b3f9d8df4348536c22fb6aad10291c8260bd3fc4c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/bundle.json","state_url":"https://pith.science/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/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":"2026-06-07T23:27:00Z","links":{"resolver":"https://pith.science/pith/GMHCXQNU4IUGG3D5GISVHEHFLA","bundle":"https://pith.science/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/bundle.json","state":"https://pith.science/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMHCXQNU4IUGG3D5GISVHEHFLA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GMHCXQNU4IUGG3D5GISVHEHFLA","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":"79644f9a123588e18f48f64f76e92c55560c7fe758684754895776b5bda636c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-13T16:19:05Z","title_canon_sha256":"6a3d84328b8a798c9db7b0cac47a3b282feb54f1de52211b5a74f01f7db2734b"},"schema_version":"1.0","source":{"id":"1405.3215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3215","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3215v1","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3215","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"GMHCXQNU4IUG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GMHCXQNU4IUGG3D5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GMHCXQNU","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:60e1b99bb4604932bc00c1b3f9d8df4348536c22fb6aad10291c8260bd3fc4c6","target":"graph","created_at":"2026-05-18T02:51:57Z","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":"The functional determinant for a Coulomb potential (or mass squared) on a three-sphere is computed numerically.","authors_text":"J.S.Dowker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-13T16:19:05Z","title":"Determinant for the Coulomb potential on the three-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3215","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:deffc8e915e7a2527a85ca5d04aa9cc95cab0a76668c144f7667782ce90f5210","target":"record","created_at":"2026-05-18T02:51:57Z","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":"79644f9a123588e18f48f64f76e92c55560c7fe758684754895776b5bda636c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-13T16:19:05Z","title_canon_sha256":"6a3d84328b8a798c9db7b0cac47a3b282feb54f1de52211b5a74f01f7db2734b"},"schema_version":"1.0","source":{"id":"1405.3215","kind":"arxiv","version":1}},"canonical_sha256":"330e2bc1b4e228636c7d32255390e55811a38f59719e0862735c9638189d26e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"330e2bc1b4e228636c7d32255390e55811a38f59719e0862735c9638189d26e1","first_computed_at":"2026-05-18T02:51:57.539490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:57.539490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YoDcu9g8Me7CRuvQDM1pLBJLnpu2K/uQFI4Nmu3fXS8msSYfmO3XIvWyBbi7nrhcM8PfEAXMM/kKiYPfxSpZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:57.539979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:deffc8e915e7a2527a85ca5d04aa9cc95cab0a76668c144f7667782ce90f5210","sha256:60e1b99bb4604932bc00c1b3f9d8df4348536c22fb6aad10291c8260bd3fc4c6"],"state_sha256":"8fee9e41c77fe54d6aa94fade05a305d29533a518012baeee18d1ebdeae3c179"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QTQcRCU+8o6PqKIz63uRZJd2RLReiTb0oKfIBXgXdcVJlkqFol20mHiDiOxjdkiQqj/lz4z/6JwEPeodkwMlBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:27:00.225308Z","bundle_sha256":"ce5030c4cc5100070661c3db4bc5d9c92ec465f8646a8a30d3436e723fd42bce"}}