{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XFIXLBVNWQ3XLJALEYU4JJG24J","short_pith_number":"pith:XFIXLBVN","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"},"canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","source":{"kind":"arxiv","id":"1806.03444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03444","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03444v1","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03444","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"XFIXLBVNWQ3X","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XFIXLBVNWQ3XLJAL","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XFIXLBVN","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XFIXLBVNWQ3XLJALEYU4JJG24J","target":"record","payload":{"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"},"canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","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"},"source_kind":"arxiv","source_id":"1806.03444","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":"2026-05-18T00:08:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lc2VSLyUUPbcAS19roUXViYeVO6BSdiljAADqmqcff5m4JNGbFIG2V7GxsVg8P4Rt3iM0FxkYI/VthghuHiXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:13:01.405466Z"},"content_sha256":"42322c949950ed0472c57508c64808b24fb6bf9d3ce417075a30fddb2a5e582c","schema_version":"1.0","event_id":"sha256:42322c949950ed0472c57508c64808b24fb6bf9d3ce417075a30fddb2a5e582c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XFIXLBVNWQ3XLJALEYU4JJG24J","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"liGUWKuTWFcX+HJYXvGBiYBt6+J3FC2xQMk9VKDTB7PIp4ouN5mqTGkZzSbt8KDiFkXf0MTa1/p+963tg8r+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:13:01.406149Z"},"content_sha256":"2e355a806aa611b15818f1bce260442c5a44197e09089aeeb622e8e2025c8e90","schema_version":"1.0","event_id":"sha256:2e355a806aa611b15818f1bce260442c5a44197e09089aeeb622e8e2025c8e90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/bundle.json","state_url":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/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":"2026-06-05T07:13:01Z","links":{"resolver":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J","bundle":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/bundle.json","state":"https://pith.science/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XFIXLBVNWQ3XLJALEYU4JJG24J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XFIXLBVNWQ3XLJALEYU4JJG24J","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":"6e7f79568a68dc98a77ce26e659338d40f67e0bc30e49da51e5c494d8dde79cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-06-09T08:51:15Z","title_canon_sha256":"d97822bc0e67680a9b28c5298c0bf262f73dc85d8931725e8fba5d4563432255"},"schema_version":"1.0","source":{"id":"1806.03444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03444","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03444v1","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03444","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"XFIXLBVNWQ3X","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XFIXLBVNWQ3XLJAL","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XFIXLBVN","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:2e355a806aa611b15818f1bce260442c5a44197e09089aeeb622e8e2025c8e90","target":"graph","created_at":"2026-05-18T00:08:06Z","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":"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.","authors_text":"Dick Bedeaux, Signe Kjelstrup","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-06-09T08:51:15Z","title":"Hill's nano-thermodynamics is equivalent with Gibbs' thermodynamics for curved surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03444","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":"sha256:42322c949950ed0472c57508c64808b24fb6bf9d3ce417075a30fddb2a5e582c","target":"record","created_at":"2026-05-18T00:08:06Z","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":"6e7f79568a68dc98a77ce26e659338d40f67e0bc30e49da51e5c494d8dde79cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-06-09T08:51:15Z","title_canon_sha256":"d97822bc0e67680a9b28c5298c0bf262f73dc85d8931725e8fba5d4563432255"},"schema_version":"1.0","source":{"id":"1806.03444","kind":"arxiv","version":1}},"canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9517586adb43775a40b2629c4a4dae26a8f454af61551ec51f5532a05146514","first_computed_at":"2026-05-18T00:08:06.503102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:06.503102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7O6jpQYp/V0GcSpYkImd+MUCrdNdh19AjKGvkLdj+bRgIWEIX03Yx7D1VXslbmJjtzOrGcwztPoIG+4rxYP+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:06.503662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42322c949950ed0472c57508c64808b24fb6bf9d3ce417075a30fddb2a5e582c","sha256:2e355a806aa611b15818f1bce260442c5a44197e09089aeeb622e8e2025c8e90"],"state_sha256":"5e180907b59643b161003b7edd85b6872150cad34842a88aa42b5215432829a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GAbzgrrGfvfZPTkCDrfiKNivdP9dEVBD3umv1TYw0SuSwXJTAz/Q7sj96Ki3r9V+RRwckZwIGhUakTlVA19IBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T07:13:01.410349Z","bundle_sha256":"03584cfa988b0e4588ada884e33e7f723684168b5d5963208c75b2c520b48eff"}}