{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:7U7ZZFNTCI74VJZLQTQG3PH5WT","short_pith_number":"pith:7U7ZZFNT","canonical_record":{"source":{"id":"cond-mat/0208421","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-08-21T21:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"dec250bb0e4d1a33012627af9d66d850e4bb3c7f1240c22d491d32526e45b015","abstract_canon_sha256":"d8f4a4e5fb7916d8be9ea89b1c99960c7048e0814e57fd5b43c8910d110219b0"},"schema_version":"1.0"},"canonical_sha256":"fd3f9c95b3123fcaa72b84e06dbcfdb4d7825e91bc446cbfe4ece5730db6204f","source":{"kind":"arxiv","id":"cond-mat/0208421","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0208421","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0208421v3","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0208421","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"pith_short_12","alias_value":"7U7ZZFNTCI74","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7U7ZZFNTCI74VJZL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7U7ZZFNT","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:7U7ZZFNTCI74VJZLQTQG3PH5WT","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0208421","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-08-21T21:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"dec250bb0e4d1a33012627af9d66d850e4bb3c7f1240c22d491d32526e45b015","abstract_canon_sha256":"d8f4a4e5fb7916d8be9ea89b1c99960c7048e0814e57fd5b43c8910d110219b0"},"schema_version":"1.0"},"canonical_sha256":"fd3f9c95b3123fcaa72b84e06dbcfdb4d7825e91bc446cbfe4ece5730db6204f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:59.005795Z","signature_b64":"qxhSOE+DUCLoJi8kx0JIW/t0F9cLb01k1rvqdVI0wbDKUnBMoXwjkHYgmDHh8KN2oiHhbB4l8GfuhUjv/B6bDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd3f9c95b3123fcaa72b84e06dbcfdb4d7825e91bc446cbfe4ece5730db6204f","last_reissued_at":"2026-05-18T01:06:59.005095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:59.005095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0208421","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":"2026-05-18T01:06:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5HxURAxJjn8HFRen/ePTC+LYkiwnshEIlIXQAp88YsWFyt0QzJef2ihXkfwya2eRYNsVxJk06dzTCR0jvgX0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:51:05.520513Z"},"content_sha256":"09f09bd699ab92e53d1023d10d62df1b2c3c2b545cfa73d6b8492481918502a5","schema_version":"1.0","event_id":"sha256:09f09bd699ab92e53d1023d10d62df1b2c3c2b545cfa73d6b8492481918502a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:7U7ZZFNTCI74VJZLQTQG3PH5WT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamics of binary fluid phase segregation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Joel L. Lebowitz, Raffaele Esposito, Rossana Marra, Sorin Bastea","submitted_at":"2002-08-21T21:26:18Z","abstract_excerpt":"Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\\bm{u}$ satisfies the incompressible Navier-Stokes equations together with a jump boundary condition for the pressure across the interface which, in turn, moves with a velocity given by the normal component of $\\bm{u} $.\n Numerical simulations of the Vlasov-Boltzmann equations for shear flows parallel and perpendicular to the interface in a phase segregated mixture "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0208421","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":"2026-05-18T01:06:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fxbOuDRUMF8dbZgYyPjogCrr1/2QO7vY5QKrMS2jkT8no/LWi6L1wwRezeV8lkxM4aHUtyaQ2S1xbnej9SOuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:51:05.521168Z"},"content_sha256":"c0473cdc6bfae16978363f603c3db7d7a3d1bb57865970c038e8afaa2068a960","schema_version":"1.0","event_id":"sha256:c0473cdc6bfae16978363f603c3db7d7a3d1bb57865970c038e8afaa2068a960"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/bundle.json","state_url":"https://pith.science/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/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":"2026-05-26T09:51:05Z","links":{"resolver":"https://pith.science/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT","bundle":"https://pith.science/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/bundle.json","state":"https://pith.science/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7U7ZZFNTCI74VJZLQTQG3PH5WT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:7U7ZZFNTCI74VJZLQTQG3PH5WT","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":"d8f4a4e5fb7916d8be9ea89b1c99960c7048e0814e57fd5b43c8910d110219b0","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-08-21T21:26:18Z","title_canon_sha256":"dec250bb0e4d1a33012627af9d66d850e4bb3c7f1240c22d491d32526e45b015"},"schema_version":"1.0","source":{"id":"cond-mat/0208421","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0208421","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0208421v3","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0208421","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"pith_short_12","alias_value":"7U7ZZFNTCI74","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7U7ZZFNTCI74VJZL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7U7ZZFNT","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:c0473cdc6bfae16978363f603c3db7d7a3d1bb57865970c038e8afaa2068a960","target":"graph","created_at":"2026-05-18T01:06:59Z","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":"Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\\bm{u}$ satisfies the incompressible Navier-Stokes equations together with a jump boundary condition for the pressure across the interface which, in turn, moves with a velocity given by the normal component of $\\bm{u} $.\n Numerical simulations of the Vlasov-Boltzmann equations for shear flows parallel and perpendicular to the interface in a phase segregated mixture ","authors_text":"Joel L. Lebowitz, Raffaele Esposito, Rossana Marra, Sorin Bastea","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-08-21T21:26:18Z","title":"Hydrodynamics of binary fluid phase segregation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0208421","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":"sha256:09f09bd699ab92e53d1023d10d62df1b2c3c2b545cfa73d6b8492481918502a5","target":"record","created_at":"2026-05-18T01:06:59Z","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":"d8f4a4e5fb7916d8be9ea89b1c99960c7048e0814e57fd5b43c8910d110219b0","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-08-21T21:26:18Z","title_canon_sha256":"dec250bb0e4d1a33012627af9d66d850e4bb3c7f1240c22d491d32526e45b015"},"schema_version":"1.0","source":{"id":"cond-mat/0208421","kind":"arxiv","version":3}},"canonical_sha256":"fd3f9c95b3123fcaa72b84e06dbcfdb4d7825e91bc446cbfe4ece5730db6204f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd3f9c95b3123fcaa72b84e06dbcfdb4d7825e91bc446cbfe4ece5730db6204f","first_computed_at":"2026-05-18T01:06:59.005095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:59.005095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxhSOE+DUCLoJi8kx0JIW/t0F9cLb01k1rvqdVI0wbDKUnBMoXwjkHYgmDHh8KN2oiHhbB4l8GfuhUjv/B6bDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:59.005795Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0208421","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09f09bd699ab92e53d1023d10d62df1b2c3c2b545cfa73d6b8492481918502a5","sha256:c0473cdc6bfae16978363f603c3db7d7a3d1bb57865970c038e8afaa2068a960"],"state_sha256":"7fa5fba6af946b23c5370727cee187fa865495aaf466058ee1b15cec6532765b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tGGHVcIoFJFnLFFKugtVzEHu1Vs1hyncreq6FzMBdLEx4GEBn+mnMoleJtYVVgFkzPYg9jYQOaPxzr9Tzp8qBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T09:51:05.524719Z","bundle_sha256":"d4721e56ece1668590c8cec6f60efb5983a0a6bcdd9c04040ed65e1eeacd06c2"}}