{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:LR43LCGEYLNN6SHRAFMQQ6BGB3","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":"aaecbbe19ee98a5a2526191f280b7e317b9cf466921a083765cdf4b5c1cdec9b","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-07T13:39:14Z","title_canon_sha256":"b15c36571686855d41d8919c4132e6541f073360e9ce9ad8963827f6a2e38c31"},"schema_version":"1.0","source":{"id":"gr-qc/0209023","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0209023","created_at":"2026-05-18T00:37:32Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0209023v3","created_at":"2026-05-18T00:37:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0209023","created_at":"2026-05-18T00:37:32Z"},{"alias_kind":"pith_short_12","alias_value":"LR43LCGEYLNN","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"LR43LCGEYLNN6SHR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"LR43LCGE","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:07da89bbe86277c075dbc487ef79615f57832713c63b955e19d57692bc840051","target":"graph","created_at":"2026-05-18T00:37:32Z","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 stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol. For the 4-simplex (10j-symbol) the asymptotic formula is compared with numerical calculations of the Spin Network evaluation. Finally we discuss the asymptotics of the SO(3,1) 10j-symbol.","authors_text":"Christopher M Steele, John W Barrett","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-09-07T13:39:14Z","title":"Asymptotics of Relativistic Spin Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0209023","kind":"arxiv","version":3},"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:ff714c37a4dd300e5a6fccd78dff547bee41d93d88b4339ccd6994371b3accf0","target":"record","created_at":"2026-05-18T00:37:32Z","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":"aaecbbe19ee98a5a2526191f280b7e317b9cf466921a083765cdf4b5c1cdec9b","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-09-07T13:39:14Z","title_canon_sha256":"b15c36571686855d41d8919c4132e6541f073360e9ce9ad8963827f6a2e38c31"},"schema_version":"1.0","source":{"id":"gr-qc/0209023","kind":"arxiv","version":3}},"canonical_sha256":"5c79b588c4c2dadf48f101590878260ed0722d05851421e624fb5199c3cd53b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c79b588c4c2dadf48f101590878260ed0722d05851421e624fb5199c3cd53b2","first_computed_at":"2026-05-18T00:37:32.034743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:32.034743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZztFCKSmPNdYMvnkD0tH4CYYIoOR91smD8Ph1PUyFAtwPfg5w2BZi5hkiF6ykFRm9snZlFCI7nFsCQ/gDBw8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:32.035170Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0209023","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff714c37a4dd300e5a6fccd78dff547bee41d93d88b4339ccd6994371b3accf0","sha256:07da89bbe86277c075dbc487ef79615f57832713c63b955e19d57692bc840051"],"state_sha256":"8d6dcb21f81c095f49d66a84767daa56e1d12ba3fcb731015d945a6bef4f037b"}