{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2QEJUJAJ7VM4VF4L3N557I7PRK","short_pith_number":"pith:2QEJUJAJ","canonical_record":{"source":{"id":"1710.01975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-05T11:50:15Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"6f03d88577cf15004136f0339bdf405b28495adeee6acbb2f67f4dd9cd7bb6a0","abstract_canon_sha256":"6a6b595c30e73c51d32af4bde05c96b78ec96eb6d5b272b9795fde5a438031db"},"schema_version":"1.0"},"canonical_sha256":"d4089a2409fd59ca978bdb7bdfa3ef8aa985430be0570b75dfd1c4966a1a18c8","source":{"kind":"arxiv","id":"1710.01975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01975","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01975v1","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01975","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"2QEJUJAJ7VM4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2QEJUJAJ7VM4VF4L","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2QEJUJAJ","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2QEJUJAJ7VM4VF4L3N557I7PRK","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-05T11:50:15Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"6f03d88577cf15004136f0339bdf405b28495adeee6acbb2f67f4dd9cd7bb6a0","abstract_canon_sha256":"6a6b595c30e73c51d32af4bde05c96b78ec96eb6d5b272b9795fde5a438031db"},"schema_version":"1.0"},"canonical_sha256":"d4089a2409fd59ca978bdb7bdfa3ef8aa985430be0570b75dfd1c4966a1a18c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:44.507282Z","signature_b64":"RTTH0Bit3kf9QKJRR2zvCS6/fLJ4xOOwRDhfIOg919Dtx4T9vc43fLAGpmX2gmfQFDsDUW6TbwwJOB7hQ4kvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4089a2409fd59ca978bdb7bdfa3ef8aa985430be0570b75dfd1c4966a1a18c8","last_reissued_at":"2026-05-18T00:22:44.506742Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:44.506742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01975","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":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xXa3SxTjBbtKOW9YsmKtOgvqP5L0fNM5e1TaKN3kLDp6N5BQl0nvBKqpubQENCWzbUWS2NVQ+rnlLS7daTS2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:22:14.472889Z"},"content_sha256":"6604cb6430154608b9e3cab58fc2248b446af52d76a2b3094e79313b3e03dc62","schema_version":"1.0","event_id":"sha256:6604cb6430154608b9e3cab58fc2248b446af52d76a2b3094e79313b3e03dc62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2QEJUJAJ7VM4VF4L3N557I7PRK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Velocity gradient power functional for Brownian dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Daniel de las Heras, Matthias Schmidt","submitted_at":"2017-10-05T11:50:15Z","abstract_excerpt":"We present an explicit and simple approximation for the superadiabatic excess (over ideal gas) free power functional, admitting the study of the nonequilibrium dynamics of overdamped Brownian many-body systems. The functional depends on the local velocity gradient and is systematically obtained from treating the microscopic stress distribution as a conjugate field. The resulting superadiabatic forces are beyond dynamical density functional theory and are of viscous nature. Their high accuracy is demonstrated by comparison to simulation results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01975","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":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sdxeCdoyCIa6i+V7t8Ba61V8rdAcSo/H6fKWQWb8swX0k/bBTffS/Hng4+qAR83UjlK9LLATDyXm47so99QbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:22:14.473581Z"},"content_sha256":"6559adb60f0a6565ab225d29919f7dc7441087171882ec9e078155702d8edfc0","schema_version":"1.0","event_id":"sha256:6559adb60f0a6565ab225d29919f7dc7441087171882ec9e078155702d8edfc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/bundle.json","state_url":"https://pith.science/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/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":"2026-06-10T04:22:14Z","links":{"resolver":"https://pith.science/pith/2QEJUJAJ7VM4VF4L3N557I7PRK","bundle":"https://pith.science/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/bundle.json","state":"https://pith.science/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QEJUJAJ7VM4VF4L3N557I7PRK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2QEJUJAJ7VM4VF4L3N557I7PRK","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":"6a6b595c30e73c51d32af4bde05c96b78ec96eb6d5b272b9795fde5a438031db","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-05T11:50:15Z","title_canon_sha256":"6f03d88577cf15004136f0339bdf405b28495adeee6acbb2f67f4dd9cd7bb6a0"},"schema_version":"1.0","source":{"id":"1710.01975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01975","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01975v1","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01975","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"2QEJUJAJ7VM4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2QEJUJAJ7VM4VF4L","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2QEJUJAJ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:6559adb60f0a6565ab225d29919f7dc7441087171882ec9e078155702d8edfc0","target":"graph","created_at":"2026-05-18T00:22:44Z","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 an explicit and simple approximation for the superadiabatic excess (over ideal gas) free power functional, admitting the study of the nonequilibrium dynamics of overdamped Brownian many-body systems. The functional depends on the local velocity gradient and is systematically obtained from treating the microscopic stress distribution as a conjugate field. The resulting superadiabatic forces are beyond dynamical density functional theory and are of viscous nature. Their high accuracy is demonstrated by comparison to simulation results.","authors_text":"Daniel de las Heras, Matthias Schmidt","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-05T11:50:15Z","title":"Velocity gradient power functional for Brownian dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01975","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":"sha256:6604cb6430154608b9e3cab58fc2248b446af52d76a2b3094e79313b3e03dc62","target":"record","created_at":"2026-05-18T00:22:44Z","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":"6a6b595c30e73c51d32af4bde05c96b78ec96eb6d5b272b9795fde5a438031db","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-10-05T11:50:15Z","title_canon_sha256":"6f03d88577cf15004136f0339bdf405b28495adeee6acbb2f67f4dd9cd7bb6a0"},"schema_version":"1.0","source":{"id":"1710.01975","kind":"arxiv","version":1}},"canonical_sha256":"d4089a2409fd59ca978bdb7bdfa3ef8aa985430be0570b75dfd1c4966a1a18c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4089a2409fd59ca978bdb7bdfa3ef8aa985430be0570b75dfd1c4966a1a18c8","first_computed_at":"2026-05-18T00:22:44.506742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:44.506742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RTTH0Bit3kf9QKJRR2zvCS6/fLJ4xOOwRDhfIOg919Dtx4T9vc43fLAGpmX2gmfQFDsDUW6TbwwJOB7hQ4kvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:44.507282Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6604cb6430154608b9e3cab58fc2248b446af52d76a2b3094e79313b3e03dc62","sha256:6559adb60f0a6565ab225d29919f7dc7441087171882ec9e078155702d8edfc0"],"state_sha256":"026196d0b3a556d9140a7b99333e1716d9dfca98429c97f222a10f0fee95308e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Byi3GG0XRTAeXxqdEtGcSaaNEQ/E/jISyPSY7nDLzc6s49GucMu5qwlAG5qu0+oq4W5CkWWiA47+VUW4urYADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:22:14.477084Z","bundle_sha256":"0921ca3dfba88ac3be6aed65437cd2a438a6db302c3f6a74438cdffd8082fffe"}}