{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:P2CI2SGKE22TZZ3IS5ZSGU4JC5","short_pith_number":"pith:P2CI2SGK","canonical_record":{"source":{"id":"1607.02372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-08T14:08:09Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"1ba762ac0c93cf6da7f458c917a1027d9bcf6a43f283ab7f17fa679ae5b6dcc5","abstract_canon_sha256":"eb186d3a8436919f0686a367146c3ea38a27aae2f8307c191abd93ec75bce877"},"schema_version":"1.0"},"canonical_sha256":"7e848d48ca26b53ce76897732353891764108cf9e96300553d585e963c72233f","source":{"kind":"arxiv","id":"1607.02372","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02372","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02372v1","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02372","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"P2CI2SGKE22T","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"P2CI2SGKE22TZZ3I","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"P2CI2SGK","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:P2CI2SGKE22TZZ3IS5ZSGU4JC5","target":"record","payload":{"canonical_record":{"source":{"id":"1607.02372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-08T14:08:09Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"1ba762ac0c93cf6da7f458c917a1027d9bcf6a43f283ab7f17fa679ae5b6dcc5","abstract_canon_sha256":"eb186d3a8436919f0686a367146c3ea38a27aae2f8307c191abd93ec75bce877"},"schema_version":"1.0"},"canonical_sha256":"7e848d48ca26b53ce76897732353891764108cf9e96300553d585e963c72233f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:14.144088Z","signature_b64":"x8k/DWab0U/2xLa/AvO35Qaw29+IEsKzSYunV+HBlSJByb6iHBjI5TaDxNjWYL2Ip+qqfWTPuRSfh7FrlofRDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e848d48ca26b53ce76897732353891764108cf9e96300553d585e963c72233f","last_reissued_at":"2026-05-18T01:10:14.143506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:14.143506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.02372","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":"2026-05-18T01:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ufYlVhMnXWRbGV9h4yfn3sRANo0fe203g55NTmENHqGK6pzKNI094h1AWAAB8xhO2IWCxIBPSavytWzkoz8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:14:11.345555Z"},"content_sha256":"58de5e667b7547a7d39fec859631e5571b9aab40d0e52762f648cd1a5eac4745","schema_version":"1.0","event_id":"sha256:58de5e667b7547a7d39fec859631e5571b9aab40d0e52762f648cd1a5eac4745"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:P2CI2SGKE22TZZ3IS5ZSGU4JC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.stat-mech","authors_text":"(2) School of Mathematics, Benjamin D. Goddard (2), Edinburgh EH9 3FD, Imperial College London, London SW7 2AZ, Miguel A. Dur\\'an-Olivencia (1), Serafim Kalliadasis (1) ((1) Department of Chemical Engineering, South Kensington Campus, the Maxwell Institute for Mathematical Sciences, UK, UK), University of Edinburgh","submitted_at":"2016-07-08T14:08:09Z","abstract_excerpt":"Over the last few decades, classical density-functional theory (DFT) and its dynamic extensions (DDFTs) have become powerful tools in the study of colloidal fluids. Recently, previous DDFTs for spherically-symmetric particles have been generalised to take into account both inertia and hydrodynamic interactions, two effects which strongly influence non-equilibrium properties. The present work further generalises this framework to systems of anisotropic particles. Starting from the Liouville equation and utilising Zwanzig's projection-operator techniques, we derive the kinetic equation for the B"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02372","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":"2026-05-18T01:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZveNGbOXjnQJV5ZxeACHR9xAnW+MJT6wBUEoF2uKUbcw6WJ5eHT+1zXIONCOzd46cYkrwPWPxIwqMKiCmaWCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:14:11.346221Z"},"content_sha256":"86ef14b17f6e0553883ff3064527a906cbad65b40e86be1d0dc7e4c4839a5d0a","schema_version":"1.0","event_id":"sha256:86ef14b17f6e0553883ff3064527a906cbad65b40e86be1d0dc7e4c4839a5d0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/bundle.json","state_url":"https://pith.science/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/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":"2026-05-26T19:14:11Z","links":{"resolver":"https://pith.science/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5","bundle":"https://pith.science/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/bundle.json","state":"https://pith.science/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2CI2SGKE22TZZ3IS5ZSGU4JC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:P2CI2SGKE22TZZ3IS5ZSGU4JC5","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":"eb186d3a8436919f0686a367146c3ea38a27aae2f8307c191abd93ec75bce877","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-08T14:08:09Z","title_canon_sha256":"1ba762ac0c93cf6da7f458c917a1027d9bcf6a43f283ab7f17fa679ae5b6dcc5"},"schema_version":"1.0","source":{"id":"1607.02372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02372","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02372v1","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02372","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"P2CI2SGKE22T","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"P2CI2SGKE22TZZ3I","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"P2CI2SGK","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:86ef14b17f6e0553883ff3064527a906cbad65b40e86be1d0dc7e4c4839a5d0a","target":"graph","created_at":"2026-05-18T01:10:14Z","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":"Over the last few decades, classical density-functional theory (DFT) and its dynamic extensions (DDFTs) have become powerful tools in the study of colloidal fluids. Recently, previous DDFTs for spherically-symmetric particles have been generalised to take into account both inertia and hydrodynamic interactions, two effects which strongly influence non-equilibrium properties. The present work further generalises this framework to systems of anisotropic particles. Starting from the Liouville equation and utilising Zwanzig's projection-operator techniques, we derive the kinetic equation for the B","authors_text":"(2) School of Mathematics, Benjamin D. Goddard (2), Edinburgh EH9 3FD, Imperial College London, London SW7 2AZ, Miguel A. Dur\\'an-Olivencia (1), Serafim Kalliadasis (1) ((1) Department of Chemical Engineering, South Kensington Campus, the Maxwell Institute for Mathematical Sciences, UK, UK), University of Edinburgh","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-08T14:08:09Z","title":"Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02372","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":"sha256:58de5e667b7547a7d39fec859631e5571b9aab40d0e52762f648cd1a5eac4745","target":"record","created_at":"2026-05-18T01:10:14Z","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":"eb186d3a8436919f0686a367146c3ea38a27aae2f8307c191abd93ec75bce877","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-08T14:08:09Z","title_canon_sha256":"1ba762ac0c93cf6da7f458c917a1027d9bcf6a43f283ab7f17fa679ae5b6dcc5"},"schema_version":"1.0","source":{"id":"1607.02372","kind":"arxiv","version":1}},"canonical_sha256":"7e848d48ca26b53ce76897732353891764108cf9e96300553d585e963c72233f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e848d48ca26b53ce76897732353891764108cf9e96300553d585e963c72233f","first_computed_at":"2026-05-18T01:10:14.143506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:14.143506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x8k/DWab0U/2xLa/AvO35Qaw29+IEsKzSYunV+HBlSJByb6iHBjI5TaDxNjWYL2Ip+qqfWTPuRSfh7FrlofRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:14.144088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.02372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58de5e667b7547a7d39fec859631e5571b9aab40d0e52762f648cd1a5eac4745","sha256:86ef14b17f6e0553883ff3064527a906cbad65b40e86be1d0dc7e4c4839a5d0a"],"state_sha256":"3f21cf3733af878f4230604baee57690efa4eaf90b3cc3562916b1be7be8efd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AV3k/9ABCYWDhoeblj4Hz0VGZU82PEhLUtTBQ4REIiguHieAuo4iAzsExh+PdExZiMcPF8oAlLhyf0o5+OLDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:14:11.350086Z","bundle_sha256":"207a355c6fe08af620ca55dc6afe90ce100223610c4d247fc7be9d34d33c44ad"}}