{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XFIXLBVNWQ3XLJALEYU4JJG24J","short_pith_number":"pith:XFIXLBVN","schema_version":"1.0","canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","source":{"kind":"arxiv","id":"1806.03444","version":1},"attestation_state":"computed","paper":{"title":"Hill's nano-thermodynamics is equivalent with Gibbs' thermodynamics for curved surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Dick Bedeaux, Signe Kjelstrup","submitted_at":"2018-06-09T08:51:15Z","abstract_excerpt":"We review first how properties of curved surfaces can be studied using Hill's thermodynamics, also called nano-thermodynamics. We proceed to show for the first time that Hill's analysis is equivalent to Gibbs for curved surfaces. This simplifies the study of surfaces that are curved on the nano-scale, and opens up a possibility to study non-equilibrium systems in a systematic manner."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1806.03444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-06-09T08:51:15Z","cross_cats_sorted":[],"title_canon_sha256":"d97822bc0e67680a9b28c5298c0bf262f73dc85d8931725e8fba5d4563432255","abstract_canon_sha256":"6e7f79568a68dc98a77ce26e659338d40f67e0bc30e49da51e5c494d8dde79cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:06.503662Z","signature_b64":"7O6jpQYp/V0GcSpYkImd+MUCrdNdh19AjKGvkLdj+bRgIWEIX03Yx7D1VXslbmJjtzOrGcwztPoIG+4rxYP+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","last_reissued_at":"2026-05-18T00:08:06.503102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:06.503102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hill's nano-thermodynamics is equivalent with Gibbs' thermodynamics for curved surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Dick Bedeaux, Signe Kjelstrup","submitted_at":"2018-06-09T08:51:15Z","abstract_excerpt":"We review first how properties of curved surfaces can be studied using Hill's thermodynamics, also called nano-thermodynamics. We proceed to show for the first time that Hill's analysis is equivalent to Gibbs for curved surfaces. This simplifies the study of surfaces that are curved on the nano-scale, and opens up a possibility to study non-equilibrium systems in a systematic manner."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03444","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1806.03444","created_at":"2026-05-18T00:08:06.503172+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.03444v1","created_at":"2026-05-18T00:08:06.503172+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03444","created_at":"2026-05-18T00:08:06.503172+00:00"},{"alias_kind":"pith_short_12","alias_value":"XFIXLBVNWQ3X","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XFIXLBVNWQ3XLJAL","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XFIXLBVN","created_at":"2026-05-18T12:33:01.666342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J","json":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J.json","graph_json":"https://pith.science/api/pith-number/XFIXLBVNWQ3XLJALEYU4JJG24J/graph.json","events_json":"https://pith.science/api/pith-number/XFIXLBVNWQ3XLJALEYU4JJG24J/events.json","paper":"https://pith.science/paper/XFIXLBVN"},"agent_actions":{"view_html":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J","download_json":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J.json","view_paper":"https://pith.science/paper/XFIXLBVN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.03444&json=true","fetch_graph":"https://pith.science/api/pith-number/XFIXLBVNWQ3XLJALEYU4JJG24J/graph.json","fetch_events":"https://pith.science/api/pith-number/XFIXLBVNWQ3XLJALEYU4JJG24J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/action/storage_attestation","attest_author":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/action/author_attestation","sign_citation":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/action/citation_signature","submit_replication":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/action/replication_record"}},"created_at":"2026-05-18T00:08:06.503172+00:00","updated_at":"2026-05-18T00:08:06.503172+00:00"}