{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZLMJNNIAKJGP55HUTPXVEVCDQF","short_pith_number":"pith:ZLMJNNIA","canonical_record":{"source":{"id":"1704.03989","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-04-13T04:15:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c47b82c2a2e4e6bc8e38c91654a36a85f405ef121db3157bb1abe9da31c575e7","abstract_canon_sha256":"59403785ae7373ff5fb2bc76ee163dc47e9a24f2061cc0863f6aeaa4235a831b"},"schema_version":"1.0"},"canonical_sha256":"cad896b500524cfef4f49bef52544381698847fe9fcee498867f0163a4f946fc","source":{"kind":"arxiv","id":"1704.03989","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03989","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03989v3","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03989","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZLMJNNIAKJGP","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZLMJNNIAKJGP55HU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZLMJNNIA","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZLMJNNIAKJGP55HUTPXVEVCDQF","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03989","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-04-13T04:15:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c47b82c2a2e4e6bc8e38c91654a36a85f405ef121db3157bb1abe9da31c575e7","abstract_canon_sha256":"59403785ae7373ff5fb2bc76ee163dc47e9a24f2061cc0863f6aeaa4235a831b"},"schema_version":"1.0"},"canonical_sha256":"cad896b500524cfef4f49bef52544381698847fe9fcee498867f0163a4f946fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:56.534923Z","signature_b64":"Xpl9F+zWZMDeY/626GOB6m8aHBtdyHom6OAJ35ITOltnkVkgrL4rNSbgzbgl9xidH4nIfqundK/Htq1d8SUxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cad896b500524cfef4f49bef52544381698847fe9fcee498867f0163a4f946fc","last_reissued_at":"2026-05-18T00:39:56.534212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:56.534212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03989","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":"2026-05-18T00:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsWjImHDoL7pMrVPR3Uzbzv/C22gW7zISwqGBBpr0TnZHL87ys2GN+ZYE7ig8CsrAmVANos9XVSJQ6eRqmjoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:49:21.426810Z"},"content_sha256":"2d05f96550e8376bef1c2d9a3d37b8110525bedaa2bb4979f820f632da7f9336","schema_version":"1.0","event_id":"sha256:2d05f96550e8376bef1c2d9a3d37b8110525bedaa2bb4979f820f632da7f9336"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZLMJNNIAKJGP55HUTPXVEVCDQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of inhomogeneities on holographic mutual information and butterfly effect","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hai-Qing Zhang, Rong-Gen Cai, Xiao-Xiong Zeng","submitted_at":"2017-04-13T04:15:26Z","abstract_excerpt":"We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03989","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":"2026-05-18T00:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rf7sQ45XgCDNaLKQixdn0alX3hfQTsoZFvlJmaJvMuGNtGicUe44orHwJjt+DP6HvJ5MyIP5afzS2h5dITcwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:49:21.427189Z"},"content_sha256":"4a1bec42abe41803343b7ce46f719533b57f5277e4de1f65fc979cc6bd94dd48","schema_version":"1.0","event_id":"sha256:4a1bec42abe41803343b7ce46f719533b57f5277e4de1f65fc979cc6bd94dd48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/bundle.json","state_url":"https://pith.science/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/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":"2026-06-04T08:49:21Z","links":{"resolver":"https://pith.science/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF","bundle":"https://pith.science/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/bundle.json","state":"https://pith.science/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLMJNNIAKJGP55HUTPXVEVCDQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZLMJNNIAKJGP55HUTPXVEVCDQF","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":"59403785ae7373ff5fb2bc76ee163dc47e9a24f2061cc0863f6aeaa4235a831b","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-04-13T04:15:26Z","title_canon_sha256":"c47b82c2a2e4e6bc8e38c91654a36a85f405ef121db3157bb1abe9da31c575e7"},"schema_version":"1.0","source":{"id":"1704.03989","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03989","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03989v3","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03989","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZLMJNNIAKJGP","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZLMJNNIAKJGP55HU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZLMJNNIA","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:4a1bec42abe41803343b7ce46f719533b57f5277e4de1f65fc979cc6bd94dd48","target":"graph","created_at":"2026-05-18T00:39:56Z","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 study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disr","authors_text":"Hai-Qing Zhang, Rong-Gen Cai, Xiao-Xiong Zeng","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-04-13T04:15:26Z","title":"Influence of inhomogeneities on holographic mutual information and butterfly effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03989","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":"sha256:2d05f96550e8376bef1c2d9a3d37b8110525bedaa2bb4979f820f632da7f9336","target":"record","created_at":"2026-05-18T00:39:56Z","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":"59403785ae7373ff5fb2bc76ee163dc47e9a24f2061cc0863f6aeaa4235a831b","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-04-13T04:15:26Z","title_canon_sha256":"c47b82c2a2e4e6bc8e38c91654a36a85f405ef121db3157bb1abe9da31c575e7"},"schema_version":"1.0","source":{"id":"1704.03989","kind":"arxiv","version":3}},"canonical_sha256":"cad896b500524cfef4f49bef52544381698847fe9fcee498867f0163a4f946fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cad896b500524cfef4f49bef52544381698847fe9fcee498867f0163a4f946fc","first_computed_at":"2026-05-18T00:39:56.534212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:56.534212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xpl9F+zWZMDeY/626GOB6m8aHBtdyHom6OAJ35ITOltnkVkgrL4rNSbgzbgl9xidH4nIfqundK/Htq1d8SUxBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:56.534923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03989","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d05f96550e8376bef1c2d9a3d37b8110525bedaa2bb4979f820f632da7f9336","sha256:4a1bec42abe41803343b7ce46f719533b57f5277e4de1f65fc979cc6bd94dd48"],"state_sha256":"06537112576963fe4ee69a40edc3e68fec0f78b15730cd16478d35d2afc22777"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrcI/PFP5crPhlo3qlyMMlxdesZEv1u5BCsOupRqMOcw0n3ro0AZSZz2YWQ1egzBlFzQ3j2+ZbZC+McLavC7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:49:21.429475Z","bundle_sha256":"1b32c49497d1a027942eba52cb88ff0395a83f1ed5c38dd0a2092942a4174b3f"}}