{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AMUI7UIQZYSMUQ6GQU3NGEDE65","short_pith_number":"pith:AMUI7UIQ","canonical_record":{"source":{"id":"1609.00946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-04T15:30:21Z","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"title_canon_sha256":"0859808c1baf17b7c424a2e49b2f4169a7b315b31f2797cea275233b9db7ad43","abstract_canon_sha256":"844b5c076172f3773b3427d06e4bbb8616e647a3c84f7dc91aed8eebeac97b42"},"schema_version":"1.0"},"canonical_sha256":"03288fd110ce24ca43c68536d31064f763e3201d9e83f0961d7946e8e68844fb","source":{"kind":"arxiv","id":"1609.00946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00946","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00946v1","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00946","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"AMUI7UIQZYSM","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AMUI7UIQZYSMUQ6G","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AMUI7UIQ","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AMUI7UIQZYSMUQ6GQU3NGEDE65","target":"record","payload":{"canonical_record":{"source":{"id":"1609.00946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-04T15:30:21Z","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"title_canon_sha256":"0859808c1baf17b7c424a2e49b2f4169a7b315b31f2797cea275233b9db7ad43","abstract_canon_sha256":"844b5c076172f3773b3427d06e4bbb8616e647a3c84f7dc91aed8eebeac97b42"},"schema_version":"1.0"},"canonical_sha256":"03288fd110ce24ca43c68536d31064f763e3201d9e83f0961d7946e8e68844fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:58.987231Z","signature_b64":"2ENQsBOhgyGbPNcO1VIgZZJSx6gYkQ3dwzBtCY1eP30xbkxZfXGtieKZjboxAXi5Rj08ZJvI2YcIvzTmnCo9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03288fd110ce24ca43c68536d31064f763e3201d9e83f0961d7946e8e68844fb","last_reissued_at":"2026-05-18T00:53:58.986519Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:58.986519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.00946","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":"2026-05-18T00:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QWfg8vRlaW/nlDCuyU2wlSrbTAmkxvk7XQGxfGEP7H+PCOV35XKu+WHu68JNDbkBrCC4rEMio5TzL9kliKWRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:54:16.797546Z"},"content_sha256":"41587842435af4161b82fa2c979249cd1355997048a5e0a21851d7066c8bf207","schema_version":"1.0","event_id":"sha256:41587842435af4161b82fa2c979249cd1355997048a5e0a21851d7066c8bf207"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AMUI7UIQZYSMUQ6GQU3NGEDE65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gradient dynamics models for liquid films with soluble surfactant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.chem-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Andrew J. Archer, Len M. Pismen, Uwe Thiele","submitted_at":"2016-09-04T15:30:21Z","abstract_excerpt":"In this paper we propose equations of motion for the dynamics of liquid films of surfactant suspensions that consist of a general gradient dynamics framework based on an underlying energy functional. This extends the gradient dynamics approach to dissipative non-equilibrium thin film systems with several variables, and casts their dynamic equations into a form that reproduces Onsager's reciprocity relations. We first discuss the general form of gradient dynamics models for an arbitrary number of fields and discuss simple well-known examples with one or two fields. Next, we develop the gradient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00946","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":"2026-05-18T00:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"soQPjb7VxAyJtzGPZcsm6kbSXszNqeb/Hx0UJdL4N2OFznat3wUrDzGm83/XlWzPY4N3mvTrwmrY+jm/SsU0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:54:16.798141Z"},"content_sha256":"66275da7731e32a92d3d7c712843785ec4aac8d354ae2bd9aa336b891316644c","schema_version":"1.0","event_id":"sha256:66275da7731e32a92d3d7c712843785ec4aac8d354ae2bd9aa336b891316644c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/bundle.json","state_url":"https://pith.science/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/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":"2026-05-24T15:54:16Z","links":{"resolver":"https://pith.science/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65","bundle":"https://pith.science/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/bundle.json","state":"https://pith.science/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMUI7UIQZYSMUQ6GQU3NGEDE65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AMUI7UIQZYSMUQ6GQU3NGEDE65","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":"844b5c076172f3773b3427d06e4bbb8616e647a3c84f7dc91aed8eebeac97b42","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-04T15:30:21Z","title_canon_sha256":"0859808c1baf17b7c424a2e49b2f4169a7b315b31f2797cea275233b9db7ad43"},"schema_version":"1.0","source":{"id":"1609.00946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00946","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00946v1","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00946","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"AMUI7UIQZYSM","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AMUI7UIQZYSMUQ6G","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AMUI7UIQ","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:66275da7731e32a92d3d7c712843785ec4aac8d354ae2bd9aa336b891316644c","target":"graph","created_at":"2026-05-18T00:53:58Z","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":"In this paper we propose equations of motion for the dynamics of liquid films of surfactant suspensions that consist of a general gradient dynamics framework based on an underlying energy functional. This extends the gradient dynamics approach to dissipative non-equilibrium thin film systems with several variables, and casts their dynamic equations into a form that reproduces Onsager's reciprocity relations. We first discuss the general form of gradient dynamics models for an arbitrary number of fields and discuss simple well-known examples with one or two fields. Next, we develop the gradient","authors_text":"Andrew J. Archer, Len M. Pismen, Uwe Thiele","cross_cats":["cond-mat.soft","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-04T15:30:21Z","title":"Gradient dynamics models for liquid films with soluble surfactant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00946","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":"sha256:41587842435af4161b82fa2c979249cd1355997048a5e0a21851d7066c8bf207","target":"record","created_at":"2026-05-18T00:53:58Z","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":"844b5c076172f3773b3427d06e4bbb8616e647a3c84f7dc91aed8eebeac97b42","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-09-04T15:30:21Z","title_canon_sha256":"0859808c1baf17b7c424a2e49b2f4169a7b315b31f2797cea275233b9db7ad43"},"schema_version":"1.0","source":{"id":"1609.00946","kind":"arxiv","version":1}},"canonical_sha256":"03288fd110ce24ca43c68536d31064f763e3201d9e83f0961d7946e8e68844fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03288fd110ce24ca43c68536d31064f763e3201d9e83f0961d7946e8e68844fb","first_computed_at":"2026-05-18T00:53:58.986519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:58.986519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ENQsBOhgyGbPNcO1VIgZZJSx6gYkQ3dwzBtCY1eP30xbkxZfXGtieKZjboxAXi5Rj08ZJvI2YcIvzTmnCo9Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:58.987231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.00946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41587842435af4161b82fa2c979249cd1355997048a5e0a21851d7066c8bf207","sha256:66275da7731e32a92d3d7c712843785ec4aac8d354ae2bd9aa336b891316644c"],"state_sha256":"d36196f91820eeb039db5e52a21c125612b98e38d10be8ae8e2c7b62825ec4d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0K85VDuM3X/Iqg8x5GiVbKGSWgqMz3XLVVQZTIhmPp2VCwSH6cF/ikQXzb6MeO5eRRMvUTzU+2xFXqbhztu7Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T15:54:16.801900Z","bundle_sha256":"d2c3c0830c8a4ab77b41b051c4eab5a04091e3c4d7034d7132e2aaf12f9a6398"}}