{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:R7GSOI7WB3P7TXUA3TLLZPMV75","short_pith_number":"pith:R7GSOI7W","canonical_record":{"source":{"id":"1107.1464","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-07T17:42:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e57612c82b6f7ffbc9a51997995f8ed60949b995677be349eb44529d92a9ce5e","abstract_canon_sha256":"efa5e3ffe702f1455b4c256a7f06a7fb1a6a7d99b60a5d1f953b931f3e3d6246"},"schema_version":"1.0"},"canonical_sha256":"8fcd2723f60edff9de80dcd6bcbd95ff55163b0170965f2f2f2ec3f5e82c3073","source":{"kind":"arxiv","id":"1107.1464","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1464","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1464v3","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1464","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"R7GSOI7WB3P7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R7GSOI7WB3P7TXUA","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R7GSOI7W","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:R7GSOI7WB3P7TXUA3TLLZPMV75","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1464","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-07T17:42:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e57612c82b6f7ffbc9a51997995f8ed60949b995677be349eb44529d92a9ce5e","abstract_canon_sha256":"efa5e3ffe702f1455b4c256a7f06a7fb1a6a7d99b60a5d1f953b931f3e3d6246"},"schema_version":"1.0"},"canonical_sha256":"8fcd2723f60edff9de80dcd6bcbd95ff55163b0170965f2f2f2ec3f5e82c3073","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:46.915964Z","signature_b64":"WK4SabMfHVsvI7txAImJW284waUe0c96FBV4tbb/Q85Uac4KK5bEO4QfrXjkQ5hhGu2i0dluHbHTe5Ddn12DDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fcd2723f60edff9de80dcd6bcbd95ff55163b0170965f2f2f2ec3f5e82c3073","last_reissued_at":"2026-05-18T04:10:46.915467Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:46.915467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1464","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":"2026-05-18T04:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3/bYnn65qLHeQoFmED333l80uvfeYv5cjcDErK/C5nOf4fRFipaUPbsPxQgxZplBnES1E/+bcc3Ev6spEOZCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:57:03.680829Z"},"content_sha256":"211501f94cc4cb9e404ed4ce5cb50fa1945e8c33f35131eefd69a336335b6627","schema_version":"1.0","event_id":"sha256:211501f94cc4cb9e404ed4ce5cb50fa1945e8c33f35131eefd69a336335b6627"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:R7GSOI7WB3P7TXUA3TLLZPMV75","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Tai-Zhuo Huang, Wen-Jian Pan, Xiao-Ning Wu, Yi Ling, Yu Tian","submitted_at":"2011-07-07T17:42:35Z","abstract_excerpt":"We generalize the framework in arXiv:1104.5502 to the case that an embedding may have a nonvanishing intrinsic curvature. Directly employing the Brown-York stress tensor as the fundamental variables, we study the effect of finite perturbations of the extrinsic curvature while keeping the intrinsic metric fixed. We show that imposing a Petrov type I condition on the hypersurface geometry may reduce to the incompressible Navier-Stokes equation for a fluid moving in spatially curved spacetime in the near-horizon limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1464","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":"2026-05-18T04:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2jfBrpn6d9Efx3GC2PdP3AMl+4LIF6Yf3uTwlIOh1cOGQVO6DBpUxrfmG4TCMqbMYqus1fWJTlW28mdmptX9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:57:03.681425Z"},"content_sha256":"652df5aea015b5834d1002975c9bca24c1c7470b9fd8d78531baf0c6f2f16c60","schema_version":"1.0","event_id":"sha256:652df5aea015b5834d1002975c9bca24c1c7470b9fd8d78531baf0c6f2f16c60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/bundle.json","state_url":"https://pith.science/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/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":"2026-06-04T03:57:03Z","links":{"resolver":"https://pith.science/pith/R7GSOI7WB3P7TXUA3TLLZPMV75","bundle":"https://pith.science/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/bundle.json","state":"https://pith.science/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7GSOI7WB3P7TXUA3TLLZPMV75/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R7GSOI7WB3P7TXUA3TLLZPMV75","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":"efa5e3ffe702f1455b4c256a7f06a7fb1a6a7d99b60a5d1f953b931f3e3d6246","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-07T17:42:35Z","title_canon_sha256":"e57612c82b6f7ffbc9a51997995f8ed60949b995677be349eb44529d92a9ce5e"},"schema_version":"1.0","source":{"id":"1107.1464","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1464","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1464v3","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1464","created_at":"2026-05-18T04:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"R7GSOI7WB3P7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R7GSOI7WB3P7TXUA","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R7GSOI7W","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:652df5aea015b5834d1002975c9bca24c1c7470b9fd8d78531baf0c6f2f16c60","target":"graph","created_at":"2026-05-18T04:10:46Z","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 generalize the framework in arXiv:1104.5502 to the case that an embedding may have a nonvanishing intrinsic curvature. Directly employing the Brown-York stress tensor as the fundamental variables, we study the effect of finite perturbations of the extrinsic curvature while keeping the intrinsic metric fixed. We show that imposing a Petrov type I condition on the hypersurface geometry may reduce to the incompressible Navier-Stokes equation for a fluid moving in spatially curved spacetime in the near-horizon limit.","authors_text":"Tai-Zhuo Huang, Wen-Jian Pan, Xiao-Ning Wu, Yi Ling, Yu Tian","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-07T17:42:35Z","title":"From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1464","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":"sha256:211501f94cc4cb9e404ed4ce5cb50fa1945e8c33f35131eefd69a336335b6627","target":"record","created_at":"2026-05-18T04:10:46Z","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":"efa5e3ffe702f1455b4c256a7f06a7fb1a6a7d99b60a5d1f953b931f3e3d6246","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-07T17:42:35Z","title_canon_sha256":"e57612c82b6f7ffbc9a51997995f8ed60949b995677be349eb44529d92a9ce5e"},"schema_version":"1.0","source":{"id":"1107.1464","kind":"arxiv","version":3}},"canonical_sha256":"8fcd2723f60edff9de80dcd6bcbd95ff55163b0170965f2f2f2ec3f5e82c3073","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fcd2723f60edff9de80dcd6bcbd95ff55163b0170965f2f2f2ec3f5e82c3073","first_computed_at":"2026-05-18T04:10:46.915467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:46.915467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WK4SabMfHVsvI7txAImJW284waUe0c96FBV4tbb/Q85Uac4KK5bEO4QfrXjkQ5hhGu2i0dluHbHTe5Ddn12DDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:46.915964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1464","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:211501f94cc4cb9e404ed4ce5cb50fa1945e8c33f35131eefd69a336335b6627","sha256:652df5aea015b5834d1002975c9bca24c1c7470b9fd8d78531baf0c6f2f16c60"],"state_sha256":"ede4febb18b7f79844a217009bb5cb46db4b30f36cc88fff223eb59a4fec7e90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rykTVhS3xBH54paRPhBsC16VIV325C6zLKMQWD9XxsJJE5bYUUevYo1D5d6fHJU/iTF+cgpGqUkQDuAx9kRXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:57:03.684205Z","bundle_sha256":"3891a478f8c0b4fa2382f43281f26f0840f5ee13e6ce4eb6c7338b4d8b05ac79"}}