{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZCBLUIMIKNEQHAPT26ZG2O5SJG","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":"061e1d31c561c346494546f013396622a5ef637da4252d7d730ee3d4c7c172ae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-19T10:22:30Z","title_canon_sha256":"646d52879d7701be2503d64ebbc2e1482764e4ab4775993d366e82d39a9146f5"},"schema_version":"1.0","source":{"id":"1506.05949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05949","created_at":"2026-05-18T01:24:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05949v1","created_at":"2026-05-18T01:24:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05949","created_at":"2026-05-18T01:24:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZCBLUIMIKNEQ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZCBLUIMIKNEQHAPT","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZCBLUIMI","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:6b8c0a1770d51c09cb13d726d1f2f426f8193d8b33b720800113e17f4c2787ab","target":"graph","created_at":"2026-05-18T01:24:54Z","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":"Consistency of Einstein's gravitational field equation $G_{\\mu\\nu} \\propto T_{\\mu\\nu}$ imposes a \"conservation condition\" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion, and (ii) identically by certain other tensors, such as the metric tensor. However, there is a third way, overlooked until now because it implies a \"non-geometrical\" action: one {\\it not} constructed from the metric and its derivatives alone. The new possibility is exemplified by the 3D \"minimal massive gravity\" model, which resolves the \"bulk vs. boundary\" u","authors_text":"Alasdair J. Routh, Eric Bergshoeff, Paul K. Townsend, Wout Merbis","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-19T10:22:30Z","title":"The Third Way to 3D Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05949","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":"sha256:50819274205d9675291167d04163f067cef2164dd7cc67cbb94825a9dc48a1c7","target":"record","created_at":"2026-05-18T01:24:54Z","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":"061e1d31c561c346494546f013396622a5ef637da4252d7d730ee3d4c7c172ae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-19T10:22:30Z","title_canon_sha256":"646d52879d7701be2503d64ebbc2e1482764e4ab4775993d366e82d39a9146f5"},"schema_version":"1.0","source":{"id":"1506.05949","kind":"arxiv","version":1}},"canonical_sha256":"c882ba218853490381f3d7b26d3bb2498e884bc57a7760442af34f3108482303","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c882ba218853490381f3d7b26d3bb2498e884bc57a7760442af34f3108482303","first_computed_at":"2026-05-18T01:24:54.517886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:54.517886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUevrW8TxAVNWTZnPza1oq5sqyyqji3ga+pjACOjknzmuwZyrrJHY2h44DySc25/z8a7Bz/iZFzL8D1eOsQhBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:54.518606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50819274205d9675291167d04163f067cef2164dd7cc67cbb94825a9dc48a1c7","sha256:6b8c0a1770d51c09cb13d726d1f2f426f8193d8b33b720800113e17f4c2787ab"],"state_sha256":"b746ba5fe0f0bd8fd6c646da3cae602ebddc3e382d74b9b2a4aa3d6f7178c52c"}