{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KLJGTNYVZAVW7POOVNQBYZTVOU","short_pith_number":"pith:KLJGTNYV","canonical_record":{"source":{"id":"1009.2946","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-09-15T14:47:45Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"5143f7e288136d673b268576b88c3db6daac22af9a61da264c052a74c2edbb93","abstract_canon_sha256":"dc9efc9848b6359e119d28d600716ff88469318e8a638686fccdfe2538fd36cb"},"schema_version":"1.0"},"canonical_sha256":"52d269b715c82b6fbdceab601c66757519b63e7a6494fd5ee9aba07c441159c0","source":{"kind":"arxiv","id":"1009.2946","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2946","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2946v3","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2946","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"KLJGTNYVZAVW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KLJGTNYVZAVW7POO","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KLJGTNYV","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KLJGTNYVZAVW7POOVNQBYZTVOU","target":"record","payload":{"canonical_record":{"source":{"id":"1009.2946","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-09-15T14:47:45Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"5143f7e288136d673b268576b88c3db6daac22af9a61da264c052a74c2edbb93","abstract_canon_sha256":"dc9efc9848b6359e119d28d600716ff88469318e8a638686fccdfe2538fd36cb"},"schema_version":"1.0"},"canonical_sha256":"52d269b715c82b6fbdceab601c66757519b63e7a6494fd5ee9aba07c441159c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:17.753743Z","signature_b64":"No0ykEy3deN+59o4wqHrGVRpbgfNrM/mAZL5lIUoRCM4ooiJtcAN8ni/38hU9hDQxp6H9bzvD54ZYCpP7yIOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52d269b715c82b6fbdceab601c66757519b63e7a6494fd5ee9aba07c441159c0","last_reissued_at":"2026-05-18T04:06:17.753033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:17.753033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.2946","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6N6gE3AhVFRaSUCEupd6X96bBSaR59vwC9D/lVj/kdKkw4CJsQxifjkcjInQycOWDCj0KB2dVOQZOohlhjkhDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:18:26.087169Z"},"content_sha256":"986fb01392403a1c3e3d5bc1277c01ee2cb1871201a9b9d9b81ebb9c196bb81f","schema_version":"1.0","event_id":"sha256:986fb01392403a1c3e3d5bc1277c01ee2cb1871201a9b9d9b81ebb9c196bb81f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KLJGTNYVZAVW7POOVNQBYZTVOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transport coefficients in composites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"B. Radoev, K. Dimitrov, R. Tsekov","submitted_at":"2010-09-15T14:47:45Z","abstract_excerpt":"The Maxwell approach from electrostatics is applied for calculation of transport coefficients in composites. The viscosity of a dilute emulsion is obtained as a function of the volume fraction of dispersed phase. The derived new formula is asymptotically correct and more general than the linear relationships usually used. The method is applied also for description of the influence of fluctuations on the transport coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2946","kind":"arxiv","version":3},"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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5J9LbtK0ib3ORjPi8kFW38RekoTsxraQFXizteOtMM7to9AJO5WGruPlXTSYyC8cGgE2qQIMZK3cTvZjJJTJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:18:26.087747Z"},"content_sha256":"7471cfd545e2d335178916d4159e21ba520e4417b4153b3050cfca362e179971","schema_version":"1.0","event_id":"sha256:7471cfd545e2d335178916d4159e21ba520e4417b4153b3050cfca362e179971"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/bundle.json","state_url":"https://pith.science/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/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":"2026-05-31T08:18:26Z","links":{"resolver":"https://pith.science/pith/KLJGTNYVZAVW7POOVNQBYZTVOU","bundle":"https://pith.science/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/bundle.json","state":"https://pith.science/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLJGTNYVZAVW7POOVNQBYZTVOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KLJGTNYVZAVW7POOVNQBYZTVOU","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":"dc9efc9848b6359e119d28d600716ff88469318e8a638686fccdfe2538fd36cb","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-09-15T14:47:45Z","title_canon_sha256":"5143f7e288136d673b268576b88c3db6daac22af9a61da264c052a74c2edbb93"},"schema_version":"1.0","source":{"id":"1009.2946","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2946","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2946v3","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2946","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"KLJGTNYVZAVW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KLJGTNYVZAVW7POO","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KLJGTNYV","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:7471cfd545e2d335178916d4159e21ba520e4417b4153b3050cfca362e179971","target":"graph","created_at":"2026-05-18T04:06:17Z","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 Maxwell approach from electrostatics is applied for calculation of transport coefficients in composites. The viscosity of a dilute emulsion is obtained as a function of the volume fraction of dispersed phase. The derived new formula is asymptotically correct and more general than the linear relationships usually used. The method is applied also for description of the influence of fluctuations on the transport coefficients.","authors_text":"B. Radoev, K. Dimitrov, R. Tsekov","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-09-15T14:47:45Z","title":"Transport coefficients in composites"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2946","kind":"arxiv","version":3},"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":"sha256:986fb01392403a1c3e3d5bc1277c01ee2cb1871201a9b9d9b81ebb9c196bb81f","target":"record","created_at":"2026-05-18T04:06:17Z","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":"dc9efc9848b6359e119d28d600716ff88469318e8a638686fccdfe2538fd36cb","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-09-15T14:47:45Z","title_canon_sha256":"5143f7e288136d673b268576b88c3db6daac22af9a61da264c052a74c2edbb93"},"schema_version":"1.0","source":{"id":"1009.2946","kind":"arxiv","version":3}},"canonical_sha256":"52d269b715c82b6fbdceab601c66757519b63e7a6494fd5ee9aba07c441159c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52d269b715c82b6fbdceab601c66757519b63e7a6494fd5ee9aba07c441159c0","first_computed_at":"2026-05-18T04:06:17.753033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:17.753033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"No0ykEy3deN+59o4wqHrGVRpbgfNrM/mAZL5lIUoRCM4ooiJtcAN8ni/38hU9hDQxp6H9bzvD54ZYCpP7yIOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:17.753743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2946","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:986fb01392403a1c3e3d5bc1277c01ee2cb1871201a9b9d9b81ebb9c196bb81f","sha256:7471cfd545e2d335178916d4159e21ba520e4417b4153b3050cfca362e179971"],"state_sha256":"cec7ab508e793fcb4cd87be412a3c1add2abee9694078ab2254c9fae7642bb14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfGeW9VZ4XNreaNca7C0naPPzc3fvs63aKymsvH1SPAVtlVBEYwWFVOehq3ZChZtXhHJHAnY9UfBzRP+t0IgAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:18:26.090357Z","bundle_sha256":"abe38c33e4ff8149edeab92dd89171cba5159f916d9c71eb1764a271cce578d7"}}