{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:3NVX7DLG3LKFMC2IDB5LBIKORW","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":"f2cfc7ac879811a5486ec459dcda99720b7bf7b13886854337af42249cf75c50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T14:00:47Z","title_canon_sha256":"a4eef0437e4946203ae66fe5328d3a2478ca0bd26dc00f0acbb7d7e67fbb60b9"},"schema_version":"1.0","source":{"id":"2012.02603","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.02603","created_at":"2026-07-05T02:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"2012.02603v2","created_at":"2026-07-05T02:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.02603","created_at":"2026-07-05T02:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"3NVX7DLG3LKF","created_at":"2026-07-05T02:58:37Z"},{"alias_kind":"pith_short_16","alias_value":"3NVX7DLG3LKFMC2I","created_at":"2026-07-05T02:58:37Z"},{"alias_kind":"pith_short_8","alias_value":"3NVX7DLG","created_at":"2026-07-05T02:58:37Z"}],"graph_snapshots":[{"event_id":"sha256:a6042e074aa750dc05cd78f64a7fd207e671cdfb24506c7b5d48a605d5f7c4ba","target":"graph","created_at":"2026-07-05T02:58:37Z","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/2012.02603/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Holographic complexity, in the guise of the Complexity = Volume prescription, comes equipped with a natural correspondence between its rate of growth and the average infall momentum of matter in the bulk. This Momentum/Complexity correspondence can be related to an integrated version of the momentum constraint of general relativity. In this paper we propose a generalization, using the full Codazzi equations as a starting point, which successfully accounts for purely gravitational contributions to infall momentum. The proposed formula is explicitly checked in an exact pp-wave solution of the va","authors_text":"J.L.F. Barbon, J. Martin-Garcia, M. Sasieta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T14:00:47Z","title":"A Generalized Momentum/Complexity Correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.02603","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:f3377db32d0418bbc9ffc3ccff3f84c55b8816d710a635372e1d8d99fae6bb73","target":"record","created_at":"2026-07-05T02:58:37Z","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":"f2cfc7ac879811a5486ec459dcda99720b7bf7b13886854337af42249cf75c50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T14:00:47Z","title_canon_sha256":"a4eef0437e4946203ae66fe5328d3a2478ca0bd26dc00f0acbb7d7e67fbb60b9"},"schema_version":"1.0","source":{"id":"2012.02603","kind":"arxiv","version":2}},"canonical_sha256":"db6b7f8d66dad4560b48187ab0a14e8db7a2db819bf4403d93020ba1c52dd968","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db6b7f8d66dad4560b48187ab0a14e8db7a2db819bf4403d93020ba1c52dd968","first_computed_at":"2026-07-05T02:58:37.833929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:58:37.833929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4T770I9+AXy8QPeOjgcbeDu5W+9rCGGnTDoMlHwlUesm366ZPfbN7L1J2FF9Blj6TaAhC7cDZE7pIyciWudRCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:58:37.834340Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.02603","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3377db32d0418bbc9ffc3ccff3f84c55b8816d710a635372e1d8d99fae6bb73","sha256:a6042e074aa750dc05cd78f64a7fd207e671cdfb24506c7b5d48a605d5f7c4ba"],"state_sha256":"6335342b0fcd84364ddd5b55f69ddb55ba0147b01acc6555fd67012ea7b9bf6c"}