{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:YJCLMFNULILJO5WIDKVGSOFASI","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":"df92da557265fe8181af1e41de08738c06df531b386f6840be3f177b9181bd3f","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2000-04-14T10:33:59Z","title_canon_sha256":"1ffffb31f306c4a4e34f6437d522b8e17b715aec4969f2b8f2850af13d3131ca"},"schema_version":"1.0","source":{"id":"gr-qc/0004045","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0004045","created_at":"2026-05-18T01:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0004045v2","created_at":"2026-05-18T01:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0004045","created_at":"2026-05-18T01:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"YJCLMFNULILJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"YJCLMFNULILJO5WI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"YJCLMFNU","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:b088d18e5a7b6553868f2d304b1d3c2419835bf3329db202e1a0e34ffe8b9154","target":"graph","created_at":"2026-05-18T01:39:24Z","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 problem of constructing a quantum theory of gravity has been tackled with very different strategies, most of which relying on the interplay between ideas from physics and from advanced mathematics. On the mathematical side, a central role is played by combinatorial topology, often used to recover the space-time manifold from the other structures involved. An extremely attractive possibility is that of encoding all possible space-times as specific Feynman diagrams of a suitable field theory. In this work we analyze how exactly one can associate combinatorial 4-manifolds to the Feynman diagr","authors_text":"Carlo Petronio, Roberto De Pietri","cross_cats":["hep-lat","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2000-04-14T10:33:59Z","title":"Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0004045","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:e16cc90a38bc826c63b11214e9abd871e1bfe837c0f6f5c09de0dddcfa7fe8a3","target":"record","created_at":"2026-05-18T01:39:24Z","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":"df92da557265fe8181af1e41de08738c06df531b386f6840be3f177b9181bd3f","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2000-04-14T10:33:59Z","title_canon_sha256":"1ffffb31f306c4a4e34f6437d522b8e17b715aec4969f2b8f2850af13d3131ca"},"schema_version":"1.0","source":{"id":"gr-qc/0004045","kind":"arxiv","version":2}},"canonical_sha256":"c244b615b45a169776c81aaa6938a09216b00133aec7d3672135bbe2337ecc29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c244b615b45a169776c81aaa6938a09216b00133aec7d3672135bbe2337ecc29","first_computed_at":"2026-05-18T01:39:24.869718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:24.869718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8e7mdYygMHqQJeAvjM5N70TW62UezldO25iLHKWQ02h3gcSGnz9G7HxnWP+K074dcge6Qma8DuBBrD0s8U9NCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:24.870232Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0004045","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e16cc90a38bc826c63b11214e9abd871e1bfe837c0f6f5c09de0dddcfa7fe8a3","sha256:b088d18e5a7b6553868f2d304b1d3c2419835bf3329db202e1a0e34ffe8b9154"],"state_sha256":"7dd205dfaaa468bd51eff785d25612e29faee5ebbadd5bd38ddc5b6eaed2202e"}