{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:F3ZP2POXCQSTRYLFEZX75KTUJN","short_pith_number":"pith:F3ZP2POX","canonical_record":{"source":{"id":"1804.05527","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-16T07:30:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e7a19d6d504b7ac9e372bc3554e90182f6d3f9a371ff5544f02f39532d9530aa","abstract_canon_sha256":"0c747c94b185721c2223095bd2f9759cf10cd7cc34a9e36527e638a62346fa94"},"schema_version":"1.0"},"canonical_sha256":"2ef2fd3dd7142538e165266ffeaa744b6c0509f309ecd92f18c73e1befbbd609","source":{"kind":"arxiv","id":"1804.05527","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05527","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05527v3","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05527","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"F3ZP2POXCQST","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F3ZP2POXCQSTRYLF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F3ZP2POX","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:F3ZP2POXCQSTRYLFEZX75KTUJN","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05527","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-16T07:30:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e7a19d6d504b7ac9e372bc3554e90182f6d3f9a371ff5544f02f39532d9530aa","abstract_canon_sha256":"0c747c94b185721c2223095bd2f9759cf10cd7cc34a9e36527e638a62346fa94"},"schema_version":"1.0"},"canonical_sha256":"2ef2fd3dd7142538e165266ffeaa744b6c0509f309ecd92f18c73e1befbbd609","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:49.286507Z","signature_b64":"Wvz1vbAMcXpJ3yhUNIo05iAoeD8gq+13jasyEo2zbShRx/pf/0PJ6abU6v8/7f/QBdi0fS2htdcrcjqZ0vV7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ef2fd3dd7142538e165266ffeaa744b6c0509f309ecd92f18c73e1befbbd609","last_reissued_at":"2026-05-18T00:04:49.285809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:49.285809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05527","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":"2026-05-18T00:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0psal0g4Gc6fXLa5kLV0YAwUIFWLNyIo4abmQElA/tWe6fo1neZLHkxu588tWcqF4k4EbxMMF/ui30clK7ACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:40:19.052616Z"},"content_sha256":"baac482381a2d5ebe3389481657ddcf95d8e7437ab035ce333c70af0d9f99b39","schema_version":"1.0","event_id":"sha256:baac482381a2d5ebe3389481657ddcf95d8e7437ab035ce333c70af0d9f99b39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:F3ZP2POXCQSTRYLFEZX75KTUJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Butterfly Velocity in Quadratic Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Wung-Hong Huang","submitted_at":"2018-04-16T07:30:10Z","abstract_excerpt":"We present a systematic procedure of finding the shock wave equation in anisotropic spacetime of quadratic gravity with Lagrangian ${\\cal L}=R+ \\Lambda+\\alpha R_{\\mu\\nu\\sigma\\rho}R^{\\mu\\nu\\sigma\\rho}+\\beta R_{\\mu\\nu}R^{\\mu\\nu}+\\gamma R^2+{\\cal L}_{\\rm matter}$. The general formula of the butterfly velocity is derived. We show that the shock wave equation in the planar, spherical or hyperbolic black hole spacetime of Einstein-Gauss-Bonnet gravity is the same as that in Einstein gravity if space is isotropic. We consider the modified AdS spacetime deformed by the leading correction of the quadra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05527","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":"2026-05-18T00:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ES/YpsBEaKHg2R9oL3t9be3hRA3XuXwYNvYJXepABfiELyBFoMOyjQu09DJ9YEHGTtwRPYjozMS7BAZGJUMHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:40:19.052973Z"},"content_sha256":"aaa6f60054f97a9c4fcfc8d8481d66ac94f0343076063ddf6257b92598badd76","schema_version":"1.0","event_id":"sha256:aaa6f60054f97a9c4fcfc8d8481d66ac94f0343076063ddf6257b92598badd76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/bundle.json","state_url":"https://pith.science/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/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":"2026-06-01T13:40:19Z","links":{"resolver":"https://pith.science/pith/F3ZP2POXCQSTRYLFEZX75KTUJN","bundle":"https://pith.science/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/bundle.json","state":"https://pith.science/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3ZP2POXCQSTRYLFEZX75KTUJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:F3ZP2POXCQSTRYLFEZX75KTUJN","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":"0c747c94b185721c2223095bd2f9759cf10cd7cc34a9e36527e638a62346fa94","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-16T07:30:10Z","title_canon_sha256":"e7a19d6d504b7ac9e372bc3554e90182f6d3f9a371ff5544f02f39532d9530aa"},"schema_version":"1.0","source":{"id":"1804.05527","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05527","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05527v3","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05527","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"F3ZP2POXCQST","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F3ZP2POXCQSTRYLF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F3ZP2POX","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:aaa6f60054f97a9c4fcfc8d8481d66ac94f0343076063ddf6257b92598badd76","target":"graph","created_at":"2026-05-18T00:04:49Z","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 present a systematic procedure of finding the shock wave equation in anisotropic spacetime of quadratic gravity with Lagrangian ${\\cal L}=R+ \\Lambda+\\alpha R_{\\mu\\nu\\sigma\\rho}R^{\\mu\\nu\\sigma\\rho}+\\beta R_{\\mu\\nu}R^{\\mu\\nu}+\\gamma R^2+{\\cal L}_{\\rm matter}$. The general formula of the butterfly velocity is derived. We show that the shock wave equation in the planar, spherical or hyperbolic black hole spacetime of Einstein-Gauss-Bonnet gravity is the same as that in Einstein gravity if space is isotropic. We consider the modified AdS spacetime deformed by the leading correction of the quadra","authors_text":"Wung-Hong Huang","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-16T07:30:10Z","title":"Butterfly Velocity in Quadratic Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05527","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:baac482381a2d5ebe3389481657ddcf95d8e7437ab035ce333c70af0d9f99b39","target":"record","created_at":"2026-05-18T00:04:49Z","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":"0c747c94b185721c2223095bd2f9759cf10cd7cc34a9e36527e638a62346fa94","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-16T07:30:10Z","title_canon_sha256":"e7a19d6d504b7ac9e372bc3554e90182f6d3f9a371ff5544f02f39532d9530aa"},"schema_version":"1.0","source":{"id":"1804.05527","kind":"arxiv","version":3}},"canonical_sha256":"2ef2fd3dd7142538e165266ffeaa744b6c0509f309ecd92f18c73e1befbbd609","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ef2fd3dd7142538e165266ffeaa744b6c0509f309ecd92f18c73e1befbbd609","first_computed_at":"2026-05-18T00:04:49.285809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:49.285809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wvz1vbAMcXpJ3yhUNIo05iAoeD8gq+13jasyEo2zbShRx/pf/0PJ6abU6v8/7f/QBdi0fS2htdcrcjqZ0vV7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:49.286507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05527","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baac482381a2d5ebe3389481657ddcf95d8e7437ab035ce333c70af0d9f99b39","sha256:aaa6f60054f97a9c4fcfc8d8481d66ac94f0343076063ddf6257b92598badd76"],"state_sha256":"da1b8601b968d6455e3f2cbaecf96e4da078756ac690921b83664d728f2825b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4L/H/rbcd8Qcg0lqH1DqusYmauxOUwXPrJoHDN8h0EpqlZ+hKRQR5KPUgdPoS3f+T/TCj5e8A0wP0Wf5xX31Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:40:19.055042Z","bundle_sha256":"dda8eab6604a264b260a6a4152f492f2d3fed6d3740c85e3ce3ab2e350bc3b19"}}