{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HF53CY5DL676PSSTRBAZJ3UDPF","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":"af1b829e8a41f12d5c28196538ae04009e879acbb4b5addea23615565d0773a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-04-02T11:11:28Z","title_canon_sha256":"43044b9517202f88872a2997290096615887764d52145ea9fdc89f5a4643cc17"},"schema_version":"1.0","source":{"id":"0804.0328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0328","created_at":"2026-07-04T15:29:58Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0328v1","created_at":"2026-07-04T15:29:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0328","created_at":"2026-07-04T15:29:58Z"},{"alias_kind":"pith_short_12","alias_value":"HF53CY5DL676","created_at":"2026-07-04T15:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"HF53CY5DL676PSST","created_at":"2026-07-04T15:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"HF53CY5D","created_at":"2026-07-04T15:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:b9e8dd37f66f4defc3f4c8e3dfd330b8e6135c6e53b5c96ff8f17e22572b4f67","target":"graph","created_at":"2026-07-04T15:29:58Z","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/0804.0328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate matter of a form that only displays a finite number of degrees of freedom in compact sections of space-time. In finite domains, one has only exact, analytic solutions. This is achieved by limiting ourselves to straight pieces of string, surrounded by locally flat sections of space-time. Globally, however, the model is not finite, because solutions tend to generat","authors_text":"Gerard 't Hooft","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-04-02T11:11:28Z","title":"A locally finite model for gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0328","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:a1fbe8bf5dc6a4b7e497f74232337829242e0fae37b4a1b0df8dbd80e76a08cc","target":"record","created_at":"2026-07-04T15:29:58Z","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":"af1b829e8a41f12d5c28196538ae04009e879acbb4b5addea23615565d0773a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-04-02T11:11:28Z","title_canon_sha256":"43044b9517202f88872a2997290096615887764d52145ea9fdc89f5a4643cc17"},"schema_version":"1.0","source":{"id":"0804.0328","kind":"arxiv","version":1}},"canonical_sha256":"397bb163a35fbfe7ca53884194ee83794a8cbbac9d500ecbd39f52e3107b4dbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"397bb163a35fbfe7ca53884194ee83794a8cbbac9d500ecbd39f52e3107b4dbc","first_computed_at":"2026-07-04T15:29:58.298421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:29:58.298421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XvzlyVxZEhne8OE+XuRaNmsumMLxKKFQfXBrvmgupmiggXcK7JYtYuBxQ44JY8Y56l8FepwybNDva9XOC/2MAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:29:58.298808Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1fbe8bf5dc6a4b7e497f74232337829242e0fae37b4a1b0df8dbd80e76a08cc","sha256:b9e8dd37f66f4defc3f4c8e3dfd330b8e6135c6e53b5c96ff8f17e22572b4f67"],"state_sha256":"bc8c4c0ac6ebee7663c6d38dee60b496b795fd66cc409885709eeef861222353"}