{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WWBYBXF6PZFUWT3S6VKS6LVCYH","short_pith_number":"pith:WWBYBXF6","canonical_record":{"source":{"id":"1502.08044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8da021e3dab93a3385b4674e64ce675dc066e7a1876aaf40e82f22d73c6a335b","abstract_canon_sha256":"caf110c014ff068fd79647fb5ba21d197dc4a20c5c1df8830604ea2246bfb894"},"schema_version":"1.0"},"canonical_sha256":"b58380dcbe7e4b4b4f72f5552f2ea2c1f7a85be782270c89ee8e226571d9429b","source":{"kind":"arxiv","id":"1502.08044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.08044","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"1502.08044v1","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.08044","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"WWBYBXF6PZFU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WWBYBXF6PZFUWT3S","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WWBYBXF6","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WWBYBXF6PZFUWT3S6VKS6LVCYH","target":"record","payload":{"canonical_record":{"source":{"id":"1502.08044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8da021e3dab93a3385b4674e64ce675dc066e7a1876aaf40e82f22d73c6a335b","abstract_canon_sha256":"caf110c014ff068fd79647fb5ba21d197dc4a20c5c1df8830604ea2246bfb894"},"schema_version":"1.0"},"canonical_sha256":"b58380dcbe7e4b4b4f72f5552f2ea2c1f7a85be782270c89ee8e226571d9429b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:01.538599Z","signature_b64":"QfUSFpM9BiYoI2EbZ9nfjQK94NQIHqE/ntBjrICK5OOze2//XBSrvJarE4I9CzyyS6Rgm9vzAxhANXfASX4PDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b58380dcbe7e4b4b4f72f5552f2ea2c1f7a85be782270c89ee8e226571d9429b","last_reissued_at":"2026-05-18T02:04:01.537821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:01.537821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.08044","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F4gjPbWg7tBj9pocWKf8kI0uZTqQUP3bsC0r6CcGuOmQdbApnlM9CrqtMPkzbLRXSoyca9zXSNl2pDy2nyXWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:35:15.964283Z"},"content_sha256":"d06b966f3e42eca6726c7ac95d14f8b8dadc9d6999a5ed42ca684488228de702","schema_version":"1.0","event_id":"sha256:d06b966f3e42eca6726c7ac95d14f8b8dadc9d6999a5ed42ca684488228de702"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WWBYBXF6PZFUWT3S6VKS6LVCYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linearly resummed hydrodynamics in a weakly curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Michael Lublinsky, Yanyan Bu","submitted_at":"2015-02-27T20:24:01Z","abstract_excerpt":"We extend our study of all-order linearly resummed hydrodynamics in a flat space~\\cite{1406.7222,1409.3095} to fluids in weakly curved spaces. The underlying microscopic theory is a finite temperature $\\mathcal{N}=4$ super-Yang-Mills theory at strong coupling. The AdS/CFT correspondence relates black brane solutions of the Einstein gravity in asymptotically \\emph{locally} $\\textrm{AdS}_5$ geometry to relativistic conformal fluids in a weakly curved 4D background. To linear order in the amplitude of hydrodynamic variables and metric perturbations, the fluid's energy-momentum tensor is computed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.08044","kind":"arxiv","version":1},"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":"2026-05-18T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KfKb2zsTHtJV/eLk40aM/uGnGWOwrvmZa7CPBhNot6GGNHomqh7tOIKXc5nedeBDe72FjXpMG4MYhX29PViHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:35:15.964651Z"},"content_sha256":"b187fc6308d31714d8dd8182ed1da4334ab52f20b75e63741fe6b1a00532aa4f","schema_version":"1.0","event_id":"sha256:b187fc6308d31714d8dd8182ed1da4334ab52f20b75e63741fe6b1a00532aa4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/bundle.json","state_url":"https://pith.science/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/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":"2026-06-01T22:35:15Z","links":{"resolver":"https://pith.science/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH","bundle":"https://pith.science/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/bundle.json","state":"https://pith.science/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWBYBXF6PZFUWT3S6VKS6LVCYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WWBYBXF6PZFUWT3S6VKS6LVCYH","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":"caf110c014ff068fd79647fb5ba21d197dc4a20c5c1df8830604ea2246bfb894","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01Z","title_canon_sha256":"8da021e3dab93a3385b4674e64ce675dc066e7a1876aaf40e82f22d73c6a335b"},"schema_version":"1.0","source":{"id":"1502.08044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.08044","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"1502.08044v1","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.08044","created_at":"2026-05-18T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"WWBYBXF6PZFU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WWBYBXF6PZFUWT3S","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WWBYBXF6","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:b187fc6308d31714d8dd8182ed1da4334ab52f20b75e63741fe6b1a00532aa4f","target":"graph","created_at":"2026-05-18T02:04:01Z","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 extend our study of all-order linearly resummed hydrodynamics in a flat space~\\cite{1406.7222,1409.3095} to fluids in weakly curved spaces. The underlying microscopic theory is a finite temperature $\\mathcal{N}=4$ super-Yang-Mills theory at strong coupling. The AdS/CFT correspondence relates black brane solutions of the Einstein gravity in asymptotically \\emph{locally} $\\textrm{AdS}_5$ geometry to relativistic conformal fluids in a weakly curved 4D background. To linear order in the amplitude of hydrodynamic variables and metric perturbations, the fluid's energy-momentum tensor is computed ","authors_text":"Michael Lublinsky, Yanyan Bu","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01Z","title":"Linearly resummed hydrodynamics in a weakly curved spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.08044","kind":"arxiv","version":1},"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:d06b966f3e42eca6726c7ac95d14f8b8dadc9d6999a5ed42ca684488228de702","target":"record","created_at":"2026-05-18T02:04:01Z","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":"caf110c014ff068fd79647fb5ba21d197dc4a20c5c1df8830604ea2246bfb894","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01Z","title_canon_sha256":"8da021e3dab93a3385b4674e64ce675dc066e7a1876aaf40e82f22d73c6a335b"},"schema_version":"1.0","source":{"id":"1502.08044","kind":"arxiv","version":1}},"canonical_sha256":"b58380dcbe7e4b4b4f72f5552f2ea2c1f7a85be782270c89ee8e226571d9429b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b58380dcbe7e4b4b4f72f5552f2ea2c1f7a85be782270c89ee8e226571d9429b","first_computed_at":"2026-05-18T02:04:01.537821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:01.537821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QfUSFpM9BiYoI2EbZ9nfjQK94NQIHqE/ntBjrICK5OOze2//XBSrvJarE4I9CzyyS6Rgm9vzAxhANXfASX4PDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:01.538599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.08044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d06b966f3e42eca6726c7ac95d14f8b8dadc9d6999a5ed42ca684488228de702","sha256:b187fc6308d31714d8dd8182ed1da4334ab52f20b75e63741fe6b1a00532aa4f"],"state_sha256":"ad68211df13985f6bd5d9256d72d0d93a8ef018df130cdaf3a0b6b96b9f3724d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gkLhjAIlIHAAMYBGJsjx6QIymd9A8z9USRRL8A5zWjqaHWm7seqrlQ7OFhmfu+ex0Q7KwIH8F3Xr4WJdczNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:35:15.966740Z","bundle_sha256":"417d62298f767cf1262bd0fbc57f7689c42f1eefb38e31c3ce1ae7082372970d"}}