{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PS26RFEODLWLLE54XLFRA7N5LK","short_pith_number":"pith:PS26RFEO","canonical_record":{"source":{"id":"1807.02298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-07-06T08:05:05Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"d7f7edc592fdc47b3cb8e2dd3f1ac301d1f2c773ce2e5d665da897c306b24ea3","abstract_canon_sha256":"56766315af400282b95fb8e7dca2c1cfaf58c3b5279a8240e6b84bfd306c8344"},"schema_version":"1.0"},"canonical_sha256":"7cb5e8948e1aecb593bcbacb107dbd5aaac74fd5ff022fe9102197e0975c235c","source":{"kind":"arxiv","id":"1807.02298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02298","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02298v1","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02298","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"PS26RFEODLWL","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PS26RFEODLWLLE54","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PS26RFEO","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PS26RFEODLWLLE54XLFRA7N5LK","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-07-06T08:05:05Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"d7f7edc592fdc47b3cb8e2dd3f1ac301d1f2c773ce2e5d665da897c306b24ea3","abstract_canon_sha256":"56766315af400282b95fb8e7dca2c1cfaf58c3b5279a8240e6b84bfd306c8344"},"schema_version":"1.0"},"canonical_sha256":"7cb5e8948e1aecb593bcbacb107dbd5aaac74fd5ff022fe9102197e0975c235c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:24.114069Z","signature_b64":"M2yNq1yRtQyVzbG+ztm801eDD/gBXm7nz2nbLlnXfyrxuDeMPxZUGiHQ3ME98cN5SbPBBjhRjW96hp/ii5F/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cb5e8948e1aecb593bcbacb107dbd5aaac74fd5ff022fe9102197e0975c235c","last_reissued_at":"2026-05-18T00:09:24.113416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:24.113416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02298","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":"2026-05-18T00:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nces8IuF/xMSuvOL2UI/haakjavGQfzYQgAvPs7dku/v8X+YMSPNsTlE5jRcDnJEJillfOo5P1DaNBfyDXTYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:35:49.354300Z"},"content_sha256":"1ce690aad3536a4ae7f847a94daa67fb09e6fee783ac82fd6ca4deac3b565304","schema_version":"1.0","event_id":"sha256:1ce690aad3536a4ae7f847a94daa67fb09e6fee783ac82fd6ca4deac3b565304"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PS26RFEODLWLLE54XLFRA7N5LK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluid mixtures in nanotubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Augusto Muracchini, Henri Gouin (IUSTI), Tommaso Ruggeri","submitted_at":"2018-07-06T08:05:05Z","abstract_excerpt":"The aim of the paper is the study of fluid mixtures in nanotubes by the methods of continuum mechanics. The model starts from a statistical distribution in mean-field molecular theory and uses a density expansion of Taylor series. We get a continuous expression of the volume free energy with density's spatial-derivatives limited at the second order. The nanotubes can be filled with liquid or vapor according to the chemical characteristics of the walls and of liquid or vapor mixture-bulks. An example of two-fluid mixture constituted of water and ethanol inside carbon nanotubes at 20{\\textdegree"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02298","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":"2026-05-18T00:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tw6bdwAz8uvG5+1AQkDAPlNvfFvrzlZ0Ce0F+8vxwS8frPsqQPpjrM1u1pbtDIcVJbPzcuREQBBUqY3VXDroCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:35:49.354646Z"},"content_sha256":"35e192281a501f615fae8270bea4040579f0a8640e4f3c6c1b1c346729f2afe1","schema_version":"1.0","event_id":"sha256:35e192281a501f615fae8270bea4040579f0a8640e4f3c6c1b1c346729f2afe1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PS26RFEODLWLLE54XLFRA7N5LK/bundle.json","state_url":"https://pith.science/pith/PS26RFEODLWLLE54XLFRA7N5LK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PS26RFEODLWLLE54XLFRA7N5LK/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":"2026-06-27T21:35:49Z","links":{"resolver":"https://pith.science/pith/PS26RFEODLWLLE54XLFRA7N5LK","bundle":"https://pith.science/pith/PS26RFEODLWLLE54XLFRA7N5LK/bundle.json","state":"https://pith.science/pith/PS26RFEODLWLLE54XLFRA7N5LK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PS26RFEODLWLLE54XLFRA7N5LK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PS26RFEODLWLLE54XLFRA7N5LK","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":"56766315af400282b95fb8e7dca2c1cfaf58c3b5279a8240e6b84bfd306c8344","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-07-06T08:05:05Z","title_canon_sha256":"d7f7edc592fdc47b3cb8e2dd3f1ac301d1f2c773ce2e5d665da897c306b24ea3"},"schema_version":"1.0","source":{"id":"1807.02298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02298","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02298v1","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02298","created_at":"2026-05-18T00:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"PS26RFEODLWL","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PS26RFEODLWLLE54","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PS26RFEO","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:35e192281a501f615fae8270bea4040579f0a8640e4f3c6c1b1c346729f2afe1","target":"graph","created_at":"2026-05-18T00:09:24Z","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":"The aim of the paper is the study of fluid mixtures in nanotubes by the methods of continuum mechanics. The model starts from a statistical distribution in mean-field molecular theory and uses a density expansion of Taylor series. We get a continuous expression of the volume free energy with density's spatial-derivatives limited at the second order. The nanotubes can be filled with liquid or vapor according to the chemical characteristics of the walls and of liquid or vapor mixture-bulks. An example of two-fluid mixture constituted of water and ethanol inside carbon nanotubes at 20{\\textdegree","authors_text":"Augusto Muracchini, Henri Gouin (IUSTI), Tommaso Ruggeri","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-07-06T08:05:05Z","title":"Fluid mixtures in nanotubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02298","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":"sha256:1ce690aad3536a4ae7f847a94daa67fb09e6fee783ac82fd6ca4deac3b565304","target":"record","created_at":"2026-05-18T00:09:24Z","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":"56766315af400282b95fb8e7dca2c1cfaf58c3b5279a8240e6b84bfd306c8344","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-07-06T08:05:05Z","title_canon_sha256":"d7f7edc592fdc47b3cb8e2dd3f1ac301d1f2c773ce2e5d665da897c306b24ea3"},"schema_version":"1.0","source":{"id":"1807.02298","kind":"arxiv","version":1}},"canonical_sha256":"7cb5e8948e1aecb593bcbacb107dbd5aaac74fd5ff022fe9102197e0975c235c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cb5e8948e1aecb593bcbacb107dbd5aaac74fd5ff022fe9102197e0975c235c","first_computed_at":"2026-05-18T00:09:24.113416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:24.113416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M2yNq1yRtQyVzbG+ztm801eDD/gBXm7nz2nbLlnXfyrxuDeMPxZUGiHQ3ME98cN5SbPBBjhRjW96hp/ii5F/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:24.114069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ce690aad3536a4ae7f847a94daa67fb09e6fee783ac82fd6ca4deac3b565304","sha256:35e192281a501f615fae8270bea4040579f0a8640e4f3c6c1b1c346729f2afe1"],"state_sha256":"c9a33d03f5a83d95b03b95c79a475e050686491b4643e8620b8052dbcb3e04a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkdvJ+Jw0sebpy7bx0CWrB6qTWZnYGFqbdYfQVlCqQVDFgO6CZiek1bhBKa+CAdDg1s2PKdiR3BkrcPYDklLBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T21:35:49.356499Z","bundle_sha256":"7a021369e40c74d16bee8b0a5043b0fa36c1402a439c0db528c762018310cda0"}}