{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:2EAKEQSUN2QT6TJJZDYKDRUSWU","short_pith_number":"pith:2EAKEQSU","canonical_record":{"source":{"id":"gr-qc/9809032","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-09-08T09:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"4ca10c2104c02dd013fa8826c5a36a92625736a0481fc7c04edd6c0a6a39d21f","abstract_canon_sha256":"8d3e248ad20ad52c8863b6a17b2364b1547f54e5bc86425c3a0848b966224189"},"schema_version":"1.0"},"canonical_sha256":"d100a242546ea13f4d29c8f0a1c692b5252b7b12935f9cfb776dff222d937ee3","source":{"kind":"arxiv","id":"gr-qc/9809032","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9809032","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9809032v2","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9809032","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"2EAKEQSUN2QT","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"2EAKEQSUN2QT6TJJ","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"2EAKEQSU","created_at":"2026-07-04T14:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:2EAKEQSUN2QT6TJJZDYKDRUSWU","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9809032","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-09-08T09:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"4ca10c2104c02dd013fa8826c5a36a92625736a0481fc7c04edd6c0a6a39d21f","abstract_canon_sha256":"8d3e248ad20ad52c8863b6a17b2364b1547f54e5bc86425c3a0848b966224189"},"schema_version":"1.0"},"canonical_sha256":"d100a242546ea13f4d29c8f0a1c692b5252b7b12935f9cfb776dff222d937ee3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:26:13.325703Z","signature_b64":"ru+AwUMAuUo7LO290V3oneb44GGeV10t6QDFoxVQw6yzox4kGRQwyQY4Vg0rxh2H/RpjLRnAtpZZ1i7IsJvvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d100a242546ea13f4d29c8f0a1c692b5252b7b12935f9cfb776dff222d937ee3","last_reissued_at":"2026-07-04T14:26:13.325244Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:26:13.325244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9809032","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":"2026-07-04T14:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1Y2nJt8q1tm10oHYlzAQGQC943/vntVYp+GeOvLwxz94uGdL4oYyAXsZWw6HWvB2UqNZBsnXHPx1Vxjcv6GBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:22:56.957363Z"},"content_sha256":"35b576c63f8273942ce7a26e3ed884d112ca5a629cb01e3e8c0e66d20a295a42","schema_version":"1.0","event_id":"sha256:35b576c63f8273942ce7a26e3ed884d112ca5a629cb01e3e8c0e66d20a295a42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:2EAKEQSUN2QT6TJJZDYKDRUSWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The asymptotics of an amplitude for the 4-simplex","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"John W. Barrett, Ruth M. Williams","submitted_at":"1998-09-08T09:49:32Z","abstract_excerpt":"An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9809032","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9809032/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nc95YDzCnGg+AUziL6TY/lJ0OuBMQxii9njNBp57V14fNX49q3wOawH8oyvsC4YnveFf1mUD6FY7WAZc+DZeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:22:56.957756Z"},"content_sha256":"0e66da68b1e69c94dddc03354021c95cc0eb9393eabeee002dd5f75e8f277c3f","schema_version":"1.0","event_id":"sha256:0e66da68b1e69c94dddc03354021c95cc0eb9393eabeee002dd5f75e8f277c3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/bundle.json","state_url":"https://pith.science/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/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":"2026-07-04T23:22:56Z","links":{"resolver":"https://pith.science/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU","bundle":"https://pith.science/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/bundle.json","state":"https://pith.science/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2EAKEQSUN2QT6TJJZDYKDRUSWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:2EAKEQSUN2QT6TJJZDYKDRUSWU","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":"8d3e248ad20ad52c8863b6a17b2364b1547f54e5bc86425c3a0848b966224189","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-09-08T09:49:32Z","title_canon_sha256":"4ca10c2104c02dd013fa8826c5a36a92625736a0481fc7c04edd6c0a6a39d21f"},"schema_version":"1.0","source":{"id":"gr-qc/9809032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9809032","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9809032v2","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9809032","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"2EAKEQSUN2QT","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"2EAKEQSUN2QT6TJJ","created_at":"2026-07-04T14:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"2EAKEQSU","created_at":"2026-07-04T14:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:0e66da68b1e69c94dddc03354021c95cc0eb9393eabeee002dd5f75e8f277c3f","target":"graph","created_at":"2026-07-04T14:26:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/9809032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry.","authors_text":"John W. Barrett, Ruth M. Williams","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-09-08T09:49:32Z","title":"The asymptotics of an amplitude for the 4-simplex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9809032","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":"sha256:35b576c63f8273942ce7a26e3ed884d112ca5a629cb01e3e8c0e66d20a295a42","target":"record","created_at":"2026-07-04T14:26:13Z","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":"8d3e248ad20ad52c8863b6a17b2364b1547f54e5bc86425c3a0848b966224189","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-09-08T09:49:32Z","title_canon_sha256":"4ca10c2104c02dd013fa8826c5a36a92625736a0481fc7c04edd6c0a6a39d21f"},"schema_version":"1.0","source":{"id":"gr-qc/9809032","kind":"arxiv","version":2}},"canonical_sha256":"d100a242546ea13f4d29c8f0a1c692b5252b7b12935f9cfb776dff222d937ee3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d100a242546ea13f4d29c8f0a1c692b5252b7b12935f9cfb776dff222d937ee3","first_computed_at":"2026-07-04T14:26:13.325244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:26:13.325244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ru+AwUMAuUo7LO290V3oneb44GGeV10t6QDFoxVQw6yzox4kGRQwyQY4Vg0rxh2H/RpjLRnAtpZZ1i7IsJvvAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:26:13.325703Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9809032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35b576c63f8273942ce7a26e3ed884d112ca5a629cb01e3e8c0e66d20a295a42","sha256:0e66da68b1e69c94dddc03354021c95cc0eb9393eabeee002dd5f75e8f277c3f"],"state_sha256":"04424cfc1ef5463951b0da6e377ba7e76ea85c4b44c5f14d198d47e49a7dfd3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pd2h8jzs6k/0ThXS7/15Ir/5IJgrTxujGFKxeGQj50ekC4sY6JcbNvzbHZ8suiAvMCe7Khi0xjrkK0J84M0aBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:22:56.959862Z","bundle_sha256":"4fb74ad364b1ac2c392cf11fe3fb25db50c848e32965e6ee0cde07880f44816c"}}