{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QDD2GR7IAEYIILLSER52TAWCPY","short_pith_number":"pith:QDD2GR7I","canonical_record":{"source":{"id":"1809.06031","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T06:09:43Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"54b868ce05d5e9807276d13efad65ea49160071ba5bd44fe8c7011fcb91b7a5d","abstract_canon_sha256":"4a7a5b2eeec415806b402dc5776c4d05c30a5df27b139cd4ce5d941971eab78c"},"schema_version":"1.0"},"canonical_sha256":"80c7a347e80130842d72247ba982c27e336cd23899ddc439f7dab06c4bd0ae8a","source":{"kind":"arxiv","id":"1809.06031","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06031","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06031v3","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06031","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"pith_short_12","alias_value":"QDD2GR7IAEYI","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QDD2GR7IAEYIILLS","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QDD2GR7I","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QDD2GR7IAEYIILLSER52TAWCPY","target":"record","payload":{"canonical_record":{"source":{"id":"1809.06031","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T06:09:43Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"54b868ce05d5e9807276d13efad65ea49160071ba5bd44fe8c7011fcb91b7a5d","abstract_canon_sha256":"4a7a5b2eeec415806b402dc5776c4d05c30a5df27b139cd4ce5d941971eab78c"},"schema_version":"1.0"},"canonical_sha256":"80c7a347e80130842d72247ba982c27e336cd23899ddc439f7dab06c4bd0ae8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:22.078044Z","signature_b64":"Yc9skj7YEzXhnQ1ddP0K2m6EUTv9h8ANx1gOW+zOZQMXkshRWm/7a59An2Qlv/P5UVVgJdOc6y9cKduWZ7IUAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80c7a347e80130842d72247ba982c27e336cd23899ddc439f7dab06c4bd0ae8a","last_reissued_at":"2026-05-17T23:41:22.077364Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:22.077364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.06031","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3yrhzG6V64xt0quh0DVy2tmfVwWyvF7oC8QsDRBRH/DRKeuvOCv7j75cqLHag672I/uncXNwDXQtkajFycs1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:18:15.018536Z"},"content_sha256":"80021f1c1236261b0963234b717d4fcac07e70777fc05836286aea695e28a4d9","schema_version":"1.0","event_id":"sha256:80021f1c1236261b0963234b717d4fcac07e70777fc05836286aea695e28a4d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QDD2GR7IAEYIILLSER52TAWCPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subregion Action and Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Komeil Babaei Velni, Mohsen Alishahiha, M. Reza Mohammadi Mozaffar","submitted_at":"2018-09-17T06:09:43Z","abstract_excerpt":"We evaluate finite part of the on-shell action for black brane solutions of Einstein gravity on different subregions of spacetime enclosed by null boundaries. These subregions include the intersection of WDW patch with past/future interior and left/right exterior for a two sided black brane. Identifying the on-shell action on the exterior regions with subregion complexity one finds that it obeys subadditivity condition. This gives an insight to define a new quantity named mutual complexity. We will also consider certain subregion that is a part of spacetime which could be causally connected to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06031","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rycuhn5vw8qrIK9U+1S7bzuOWB2Tyy/da8OoYYle12qMpukXQJtynUOA8ax4GeqiiQ/bl9YqEGzIooyetQaNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:18:15.018896Z"},"content_sha256":"6f9471a23cb11d5a9558416aef01aa035c0692100a9632037750002415e4da5a","schema_version":"1.0","event_id":"sha256:6f9471a23cb11d5a9558416aef01aa035c0692100a9632037750002415e4da5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDD2GR7IAEYIILLSER52TAWCPY/bundle.json","state_url":"https://pith.science/pith/QDD2GR7IAEYIILLSER52TAWCPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDD2GR7IAEYIILLSER52TAWCPY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-19T18:18:15Z","links":{"resolver":"https://pith.science/pith/QDD2GR7IAEYIILLSER52TAWCPY","bundle":"https://pith.science/pith/QDD2GR7IAEYIILLSER52TAWCPY/bundle.json","state":"https://pith.science/pith/QDD2GR7IAEYIILLSER52TAWCPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDD2GR7IAEYIILLSER52TAWCPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QDD2GR7IAEYIILLSER52TAWCPY","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":"4a7a5b2eeec415806b402dc5776c4d05c30a5df27b139cd4ce5d941971eab78c","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T06:09:43Z","title_canon_sha256":"54b868ce05d5e9807276d13efad65ea49160071ba5bd44fe8c7011fcb91b7a5d"},"schema_version":"1.0","source":{"id":"1809.06031","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06031","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06031v3","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06031","created_at":"2026-05-17T23:41:22Z"},{"alias_kind":"pith_short_12","alias_value":"QDD2GR7IAEYI","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QDD2GR7IAEYIILLS","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QDD2GR7I","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:6f9471a23cb11d5a9558416aef01aa035c0692100a9632037750002415e4da5a","target":"graph","created_at":"2026-05-17T23:41:22Z","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":"We evaluate finite part of the on-shell action for black brane solutions of Einstein gravity on different subregions of spacetime enclosed by null boundaries. These subregions include the intersection of WDW patch with past/future interior and left/right exterior for a two sided black brane. Identifying the on-shell action on the exterior regions with subregion complexity one finds that it obeys subadditivity condition. This gives an insight to define a new quantity named mutual complexity. We will also consider certain subregion that is a part of spacetime which could be causally connected to","authors_text":"Komeil Babaei Velni, Mohsen Alishahiha, M. Reza Mohammadi Mozaffar","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T06:09:43Z","title":"Subregion Action and Complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06031","kind":"arxiv","version":3},"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":"sha256:80021f1c1236261b0963234b717d4fcac07e70777fc05836286aea695e28a4d9","target":"record","created_at":"2026-05-17T23:41:22Z","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":"4a7a5b2eeec415806b402dc5776c4d05c30a5df27b139cd4ce5d941971eab78c","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T06:09:43Z","title_canon_sha256":"54b868ce05d5e9807276d13efad65ea49160071ba5bd44fe8c7011fcb91b7a5d"},"schema_version":"1.0","source":{"id":"1809.06031","kind":"arxiv","version":3}},"canonical_sha256":"80c7a347e80130842d72247ba982c27e336cd23899ddc439f7dab06c4bd0ae8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80c7a347e80130842d72247ba982c27e336cd23899ddc439f7dab06c4bd0ae8a","first_computed_at":"2026-05-17T23:41:22.077364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:22.077364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yc9skj7YEzXhnQ1ddP0K2m6EUTv9h8ANx1gOW+zOZQMXkshRWm/7a59An2Qlv/P5UVVgJdOc6y9cKduWZ7IUAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:22.078044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06031","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80021f1c1236261b0963234b717d4fcac07e70777fc05836286aea695e28a4d9","sha256:6f9471a23cb11d5a9558416aef01aa035c0692100a9632037750002415e4da5a"],"state_sha256":"201d2a97077efa11dacba15f593ee5bccf335fe3e9374cbedfccc6ff4de98397"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SjcnGiQPww7iZVfeaQ5F80o+vH7K1/wuugOTfeR9waDovAmCSF+6eELU1OvMQlFPxFLb8LzoBDqEIfD2PfJvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T18:18:15.021018Z","bundle_sha256":"57690072374c66d04118739cf7f6441af97b99a7692110f9860cbfb137bd0112"}}