{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4JT5VLVKKROFKSBL6ENXKFEMQ3","short_pith_number":"pith:4JT5VLVK","canonical_record":{"source":{"id":"1006.1516","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-08T10:21:13Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"934db4a83dbf1c2ce3766541315a20ee2848049159d3ffad59baac94a1ed4c89","abstract_canon_sha256":"21a3dccf20f64f2c5a1671ecc552b09d650b0ecf10bd14ff2571bca1830a2b92"},"schema_version":"1.0"},"canonical_sha256":"e267daaeaa545c55482bf11b75148c86d291d2808a2b6b061c802145b7633d1c","source":{"kind":"arxiv","id":"1006.1516","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1516","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1516v2","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1516","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"4JT5VLVKKROF","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4JT5VLVKKROFKSBL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4JT5VLVK","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4JT5VLVKKROFKSBL6ENXKFEMQ3","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1516","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-08T10:21:13Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"934db4a83dbf1c2ce3766541315a20ee2848049159d3ffad59baac94a1ed4c89","abstract_canon_sha256":"21a3dccf20f64f2c5a1671ecc552b09d650b0ecf10bd14ff2571bca1830a2b92"},"schema_version":"1.0"},"canonical_sha256":"e267daaeaa545c55482bf11b75148c86d291d2808a2b6b061c802145b7633d1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:36.309674Z","signature_b64":"D80cm9QyswtjGPNFempatqlLA46IBEGDDlWdCIucxlRwodUgXHzvz5001hC5RMXBDKHBqprK7rU4Ido0szuhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e267daaeaa545c55482bf11b75148c86d291d2808a2b6b061c802145b7633d1c","last_reissued_at":"2026-05-18T04:24:36.309211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:36.309211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1516","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLqUoylenYnrfPQoGQk9jVO947vM3Vh/8y+Cdfxyz/dph16mPsoX7xthtD8sJDSNG0UZkRAx4kdEfMljOsa6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:35:41.989306Z"},"content_sha256":"b6b16984fd3eca0f04f41e511f96e2d69fd2ddbeae1faf7f708b53c2c463b4d9","schema_version":"1.0","event_id":"sha256:b6b16984fd3eca0f04f41e511f96e2d69fd2ddbeae1faf7f708b53c2c463b4d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4JT5VLVKKROFKSBL6ENXKFEMQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the rheology of a liquid-vapor interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Boryan Radoev, Roumen Tsekov","submitted_at":"2010-06-08T10:21:13Z","abstract_excerpt":"The mass and momentum balances are theoretically studied in heterogeneous two-component systems. Following Gibbs the system is presented as two bulk and a single surface phases. Comparing the equations derived with some typical rheological models, useful information about the location of the interface is obtained. It was demonstrated that the surface phase for insoluble surfactants coincides with the equimolecular interface, while for soluble ones it is placed on the surface of total mass density zero excess. In both cases the surface phase is close to the surface of tension and kinematic surf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1516","kind":"arxiv","version":2},"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":"2026-05-18T04:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C1OyNMgfMVoAPwQPQa/1yemIDsRDcw5oWTUKOGhDbROK9dW8uQRXfOtkZZuDwjmoS5zG1b6KpE9bVuTuYWsXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:35:41.989695Z"},"content_sha256":"a54868dfdbdd0be32661f54342dfd979686d37f27c96d81466314081ae0874af","schema_version":"1.0","event_id":"sha256:a54868dfdbdd0be32661f54342dfd979686d37f27c96d81466314081ae0874af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/bundle.json","state_url":"https://pith.science/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/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":"2026-07-03T04:35:41Z","links":{"resolver":"https://pith.science/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3","bundle":"https://pith.science/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/bundle.json","state":"https://pith.science/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JT5VLVKKROFKSBL6ENXKFEMQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4JT5VLVKKROFKSBL6ENXKFEMQ3","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":"21a3dccf20f64f2c5a1671ecc552b09d650b0ecf10bd14ff2571bca1830a2b92","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-08T10:21:13Z","title_canon_sha256":"934db4a83dbf1c2ce3766541315a20ee2848049159d3ffad59baac94a1ed4c89"},"schema_version":"1.0","source":{"id":"1006.1516","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1516","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1516v2","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1516","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"4JT5VLVKKROF","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4JT5VLVKKROFKSBL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4JT5VLVK","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:a54868dfdbdd0be32661f54342dfd979686d37f27c96d81466314081ae0874af","target":"graph","created_at":"2026-05-18T04:24:36Z","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":"The mass and momentum balances are theoretically studied in heterogeneous two-component systems. Following Gibbs the system is presented as two bulk and a single surface phases. Comparing the equations derived with some typical rheological models, useful information about the location of the interface is obtained. It was demonstrated that the surface phase for insoluble surfactants coincides with the equimolecular interface, while for soluble ones it is placed on the surface of total mass density zero excess. In both cases the surface phase is close to the surface of tension and kinematic surf","authors_text":"Boryan Radoev, Roumen Tsekov","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-08T10:21:13Z","title":"On the rheology of a liquid-vapor interface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1516","kind":"arxiv","version":2},"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:b6b16984fd3eca0f04f41e511f96e2d69fd2ddbeae1faf7f708b53c2c463b4d9","target":"record","created_at":"2026-05-18T04:24:36Z","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":"21a3dccf20f64f2c5a1671ecc552b09d650b0ecf10bd14ff2571bca1830a2b92","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-08T10:21:13Z","title_canon_sha256":"934db4a83dbf1c2ce3766541315a20ee2848049159d3ffad59baac94a1ed4c89"},"schema_version":"1.0","source":{"id":"1006.1516","kind":"arxiv","version":2}},"canonical_sha256":"e267daaeaa545c55482bf11b75148c86d291d2808a2b6b061c802145b7633d1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e267daaeaa545c55482bf11b75148c86d291d2808a2b6b061c802145b7633d1c","first_computed_at":"2026-05-18T04:24:36.309211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:36.309211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D80cm9QyswtjGPNFempatqlLA46IBEGDDlWdCIucxlRwodUgXHzvz5001hC5RMXBDKHBqprK7rU4Ido0szuhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:36.309674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1516","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6b16984fd3eca0f04f41e511f96e2d69fd2ddbeae1faf7f708b53c2c463b4d9","sha256:a54868dfdbdd0be32661f54342dfd979686d37f27c96d81466314081ae0874af"],"state_sha256":"e815f19543939821da142c5813c884a30e2582bc7d741aa50ca32aff33a7fef7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YueqFlgFSaxjAZb+1NoVJ2fhWMXmxecb3Ul9K62DO1FJXddw/PhxXo3N2L8v/O1rfGiyWwO/DXD429APYrsSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T04:35:41.991614Z","bundle_sha256":"e115fa5e0f374dc11214d113a5d000eabec8b8cb3325fefd1fca70499c81581d"}}