{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VWRIO3EEIFNZ7CDHQEVYYPBDX6","short_pith_number":"pith:VWRIO3EE","canonical_record":{"source":{"id":"1504.04758","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-18T20:58:55Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"4e5a4c7f8a8413e27468400d5c2179c8bbcf462e38ac18105235ab1ed466bf8b","abstract_canon_sha256":"55b29d129a5ff88a0bb65e495bdce2d69238e58c4599a48466ad206ddeacb097"},"schema_version":"1.0"},"canonical_sha256":"ada2876c84415b9f8867812b8c3c23bfa0f6f6aeef7db67e69c022539c09fedf","source":{"kind":"arxiv","id":"1504.04758","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04758","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04758v1","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04758","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"VWRIO3EEIFNZ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VWRIO3EEIFNZ7CDH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VWRIO3EE","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VWRIO3EEIFNZ7CDHQEVYYPBDX6","target":"record","payload":{"canonical_record":{"source":{"id":"1504.04758","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-18T20:58:55Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"4e5a4c7f8a8413e27468400d5c2179c8bbcf462e38ac18105235ab1ed466bf8b","abstract_canon_sha256":"55b29d129a5ff88a0bb65e495bdce2d69238e58c4599a48466ad206ddeacb097"},"schema_version":"1.0"},"canonical_sha256":"ada2876c84415b9f8867812b8c3c23bfa0f6f6aeef7db67e69c022539c09fedf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:24.871085Z","signature_b64":"ErHBKB2NgSWuNLIkiq+Iwz2eMP7dXOLcfECtFmwgX8VronlOZO/FvpSggcZ8WBoIIXtvZBRP1C/P6/cQC34gDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ada2876c84415b9f8867812b8c3c23bfa0f6f6aeef7db67e69c022539c09fedf","last_reissued_at":"2026-05-18T02:18:24.870445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:24.870445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.04758","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":"2026-05-18T02:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gAlh70hPWvczeTf7/kjjjgEKF5YgfqUBt5Acorsbtxsi86ib3eNqz7Dwy1UDikFnG8ZjOXPwVMR77xPcXItDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:54:04.697498Z"},"content_sha256":"0682e0a8ef7069f73823c4ed6a9e7ad2c5956a64f903fbdb9a647c7b08527e05","schema_version":"1.0","event_id":"sha256:0682e0a8ef7069f73823c4ed6a9e7ad2c5956a64f903fbdb9a647c7b08527e05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VWRIO3EEIFNZ7CDHQEVYYPBDX6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Interface Formation Model for Dynamic Triple Lines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Dieter Bothe, Jan Pr\\\"uss","submitted_at":"2015-04-18T20:58:55Z","abstract_excerpt":"This paper revisits the theory of Y. Shikhmurzaev on forming interfaces as a continuum thermodynamical model for dynamic triple lines. We start with the derivation of the balances for mass, momentum, energy and entropy in a three-phase fluid system with full interfacial physics, including a brief review of the relevant transport theorems on interfaces and triple lines. Employing the entropy principle in the form given in [Bothe & Dreyer, Acta Mechanica, doi:10.1007/s00707-014-1275-1] but extended to this more general case, we arrive at the entropy production and perform a linear closure, excep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04758","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":"2026-05-18T02:18:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L3JuH5CJ118Awu0p/xYXWqyqORFLQPmamVX+eBfFx6FKo8e2si7uDr2CPTEetq8SyTavcFFZKISFC7eV+O17Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:54:04.698179Z"},"content_sha256":"2e5e575a233eb4e87b5ed59cf615a261b91b2da6b9343ee88a23ad1a8ca29951","schema_version":"1.0","event_id":"sha256:2e5e575a233eb4e87b5ed59cf615a261b91b2da6b9343ee88a23ad1a8ca29951"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/bundle.json","state_url":"https://pith.science/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/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":"2026-05-26T21:54:04Z","links":{"resolver":"https://pith.science/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6","bundle":"https://pith.science/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/bundle.json","state":"https://pith.science/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWRIO3EEIFNZ7CDHQEVYYPBDX6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VWRIO3EEIFNZ7CDHQEVYYPBDX6","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":"55b29d129a5ff88a0bb65e495bdce2d69238e58c4599a48466ad206ddeacb097","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-18T20:58:55Z","title_canon_sha256":"4e5a4c7f8a8413e27468400d5c2179c8bbcf462e38ac18105235ab1ed466bf8b"},"schema_version":"1.0","source":{"id":"1504.04758","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04758","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04758v1","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04758","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"VWRIO3EEIFNZ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VWRIO3EEIFNZ7CDH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VWRIO3EE","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:2e5e575a233eb4e87b5ed59cf615a261b91b2da6b9343ee88a23ad1a8ca29951","target":"graph","created_at":"2026-05-18T02:18:24Z","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":"This paper revisits the theory of Y. Shikhmurzaev on forming interfaces as a continuum thermodynamical model for dynamic triple lines. We start with the derivation of the balances for mass, momentum, energy and entropy in a three-phase fluid system with full interfacial physics, including a brief review of the relevant transport theorems on interfaces and triple lines. Employing the entropy principle in the form given in [Bothe & Dreyer, Acta Mechanica, doi:10.1007/s00707-014-1275-1] but extended to this more general case, we arrive at the entropy production and perform a linear closure, excep","authors_text":"Dieter Bothe, Jan Pr\\\"uss","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-18T20:58:55Z","title":"On the Interface Formation Model for Dynamic Triple Lines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04758","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":"sha256:0682e0a8ef7069f73823c4ed6a9e7ad2c5956a64f903fbdb9a647c7b08527e05","target":"record","created_at":"2026-05-18T02:18:24Z","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":"55b29d129a5ff88a0bb65e495bdce2d69238e58c4599a48466ad206ddeacb097","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-18T20:58:55Z","title_canon_sha256":"4e5a4c7f8a8413e27468400d5c2179c8bbcf462e38ac18105235ab1ed466bf8b"},"schema_version":"1.0","source":{"id":"1504.04758","kind":"arxiv","version":1}},"canonical_sha256":"ada2876c84415b9f8867812b8c3c23bfa0f6f6aeef7db67e69c022539c09fedf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ada2876c84415b9f8867812b8c3c23bfa0f6f6aeef7db67e69c022539c09fedf","first_computed_at":"2026-05-18T02:18:24.870445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:24.870445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ErHBKB2NgSWuNLIkiq+Iwz2eMP7dXOLcfECtFmwgX8VronlOZO/FvpSggcZ8WBoIIXtvZBRP1C/P6/cQC34gDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:24.871085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04758","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0682e0a8ef7069f73823c4ed6a9e7ad2c5956a64f903fbdb9a647c7b08527e05","sha256:2e5e575a233eb4e87b5ed59cf615a261b91b2da6b9343ee88a23ad1a8ca29951"],"state_sha256":"a46b279c2d0982f0dc2603a4e4a77cd4342cc1f8e84916ef4c1e64721fe02246"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9yEp2qPIuZXcJ+2AszQqDCjnEfXITSxaMxJIaTV1X2OTPGsEgkHbk8YWYLv02B97KWj1MLiv5qwBw+pn8WTCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:54:04.701629Z","bundle_sha256":"05f13bfac430cd553d5b4c0e143d711bafe163a8633ddd7a028eef361b0def2a"}}