{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ADCJNOZFFIKDBN4RNE3NWJDBC6","short_pith_number":"pith:ADCJNOZF","schema_version":"1.0","canonical_sha256":"00c496bb252a1430b7916936db2461178b5a8d66c7d25456d811ee570bd859a9","source":{"kind":"arxiv","id":"1104.5502","version":2},"attestation_state":"computed","paper":{"title":"From Petrov-Einstein to Navier-Stokes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Vyacheslav Lysov","submitted_at":"2011-04-28T20:06:13Z","abstract_excerpt":"We consider a p+1-dimensional timelike hypersurface \\Sigma_c embedded with a flat induced metric in a p+2-dimensional Einstein geometry. It is shown that imposing a Petrov type I condition on the geometry reduces the degrees of freedom in the extrinsic curvature of \\Sigma_c to those of a fluid in \\Sigma_c. Moreover, expanding around a limit in which the mean curvature of the embedding diverges, the leading-order Einstein constraint equations on \\Sigma_c are shown to reduce to the non-linear incompressible Navier-Stokes equation for a fluid moving in \\Sigma_c."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1104.5502","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-28T20:06:13Z","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"title_canon_sha256":"a5dd2cb2c85050610be113b779b2bedf607621e1ad1043227e5555f07bac32e1","abstract_canon_sha256":"c9b58c7e72af1e900ded69f438c38a29a3c98a06a58490901effe4d09eecb506"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:49.481712Z","signature_b64":"Y+iWRGybTTP88YD9IgcqWTOJp/YOnYUHUUD5+hwGAulirh9A7c8w0gxtn0EpjDtncCaw2VrMVUnZne3vJRxoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00c496bb252a1430b7916936db2461178b5a8d66c7d25456d811ee570bd859a9","last_reissued_at":"2026-05-18T04:20:49.481039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:49.481039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Petrov-Einstein to Navier-Stokes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Vyacheslav Lysov","submitted_at":"2011-04-28T20:06:13Z","abstract_excerpt":"We consider a p+1-dimensional timelike hypersurface \\Sigma_c embedded with a flat induced metric in a p+2-dimensional Einstein geometry. It is shown that imposing a Petrov type I condition on the geometry reduces the degrees of freedom in the extrinsic curvature of \\Sigma_c to those of a fluid in \\Sigma_c. Moreover, expanding around a limit in which the mean curvature of the embedding diverges, the leading-order Einstein constraint equations on \\Sigma_c are shown to reduce to the non-linear incompressible Navier-Stokes equation for a fluid moving in \\Sigma_c."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5502","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1104.5502","created_at":"2026-05-18T04:20:49.481138+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.5502v2","created_at":"2026-05-18T04:20:49.481138+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5502","created_at":"2026-05-18T04:20:49.481138+00:00"},{"alias_kind":"pith_short_12","alias_value":"ADCJNOZFFIKD","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"ADCJNOZFFIKDBN4R","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"ADCJNOZF","created_at":"2026-05-18T12:26:24.575870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6","json":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6.json","graph_json":"https://pith.science/api/pith-number/ADCJNOZFFIKDBN4RNE3NWJDBC6/graph.json","events_json":"https://pith.science/api/pith-number/ADCJNOZFFIKDBN4RNE3NWJDBC6/events.json","paper":"https://pith.science/paper/ADCJNOZF"},"agent_actions":{"view_html":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6","download_json":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6.json","view_paper":"https://pith.science/paper/ADCJNOZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.5502&json=true","fetch_graph":"https://pith.science/api/pith-number/ADCJNOZFFIKDBN4RNE3NWJDBC6/graph.json","fetch_events":"https://pith.science/api/pith-number/ADCJNOZFFIKDBN4RNE3NWJDBC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6/action/storage_attestation","attest_author":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6/action/author_attestation","sign_citation":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6/action/citation_signature","submit_replication":"https://pith.science/pith/ADCJNOZFFIKDBN4RNE3NWJDBC6/action/replication_record"}},"created_at":"2026-05-18T04:20:49.481138+00:00","updated_at":"2026-05-18T04:20:49.481138+00:00"}