{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:W6CLHL3WT7T3DFJZVLTO3DTMTR","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":"e0514759a357eaf5af1c0a80d99f825095a066a931950dc5c2fb233209e732f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-24T20:28:34Z","title_canon_sha256":"97e97e2943e77423ca28ba866b9df32f8e7aa9f90b80c20069b62c50063c8e45"},"schema_version":"1.0","source":{"id":"1002.4449","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4449","created_at":"2026-05-18T02:08:57Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4449v1","created_at":"2026-05-18T02:08:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4449","created_at":"2026-05-18T02:08:57Z"},{"alias_kind":"pith_short_12","alias_value":"W6CLHL3WT7T3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"W6CLHL3WT7T3DFJZ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"W6CLHL3W","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:312a9a29ed976cefae301812e2ee8d5c22b1bf06f0a76b56bb7101474ee58b29","target":"graph","created_at":"2026-05-18T02:08:57Z","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 possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential term which can be a general (not necessarily local) functional of the metric. From the perspective of the foundation of Einstein's gravity our results are positive: The extended constraint algebra is either that of Einstein's gravity, or ultralocal gravity. If our goal is a simple modification of Einstein's gravity that for example makes it perturbatively r","authors_text":"Emil J. Martinec, Szilard Farkas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-24T20:28:34Z","title":"Gravity from the extension of spatial diffeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4449","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":"sha256:84d86ff5f542458c307245922c8282ee521b952c60ae34baa27ed4aa545de2fb","target":"record","created_at":"2026-05-18T02:08:57Z","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":"e0514759a357eaf5af1c0a80d99f825095a066a931950dc5c2fb233209e732f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-24T20:28:34Z","title_canon_sha256":"97e97e2943e77423ca28ba866b9df32f8e7aa9f90b80c20069b62c50063c8e45"},"schema_version":"1.0","source":{"id":"1002.4449","kind":"arxiv","version":1}},"canonical_sha256":"b784b3af769fe7b19539aae6ed8e6c9c5877ed77ed65237583c62cf32c4c3cec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b784b3af769fe7b19539aae6ed8e6c9c5877ed77ed65237583c62cf32c4c3cec","first_computed_at":"2026-05-18T02:08:57.531366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:57.531366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5/wp2hVldBiNZzFw4EL6y7VrUMkIJNVqn2Sg2rgd+tYZvYS3Uq4ifxN9ZoCwmhzbEjYyNO1FVpslIxY+q/VbCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:57.532116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4449","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84d86ff5f542458c307245922c8282ee521b952c60ae34baa27ed4aa545de2fb","sha256:312a9a29ed976cefae301812e2ee8d5c22b1bf06f0a76b56bb7101474ee58b29"],"state_sha256":"46c267b4ab3ed52ada1c8622652df391d9c5556eba404f8f660e65d7a293f061"}