{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZU2CEBXN45HRNEMXE4VIGZNZDN","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":"a4fc853e8b5dc2f6e703df58cacbb872174fba2a23dbe87b785808d76c1acd10","cross_cats_sorted":["math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T20:14:59Z","title_canon_sha256":"3b4298f5e45a68317bc20543bd7e640cb49a8935d0011bba393cf5f7db71e5a3"},"schema_version":"1.0","source":{"id":"1509.03324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03324","created_at":"2026-05-18T01:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03324v1","created_at":"2026-05-18T01:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03324","created_at":"2026-05-18T01:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZU2CEBXN45HR","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZU2CEBXN45HRNEMX","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZU2CEBXN","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:388bbd49a107cbd2f12a8b3b4e80e9f55282702de9858eee139946cc5945d1c7","target":"graph","created_at":"2026-05-18T01:33:23Z","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 provide a quantitative description of global minimizers of the Gauss free energy for a liquid droplet bounded in a container in the small volume regime.","authors_text":"Cornelia Mihaila, Francesco Maggi","cross_cats":["math-ph","math.MP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T20:14:59Z","title":"On the shape of capillarity droplets in a container"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03324","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":"sha256:82e86691fcb5ae61400f63ada9e9c78eb8f31ba30c911edebe18c2d6b285dcd6","target":"record","created_at":"2026-05-18T01:33:23Z","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":"a4fc853e8b5dc2f6e703df58cacbb872174fba2a23dbe87b785808d76c1acd10","cross_cats_sorted":["math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T20:14:59Z","title_canon_sha256":"3b4298f5e45a68317bc20543bd7e640cb49a8935d0011bba393cf5f7db71e5a3"},"schema_version":"1.0","source":{"id":"1509.03324","kind":"arxiv","version":1}},"canonical_sha256":"cd342206ede74f169197272a8365b91b49cd9b7e5a0d21baeab52e2496a9057d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd342206ede74f169197272a8365b91b49cd9b7e5a0d21baeab52e2496a9057d","first_computed_at":"2026-05-18T01:33:23.630786Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:23.630786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHMm3hntDXSCT2f8RjcishrISprBefG8ZCvYTlxzKUHqO3rV9AwuzSNYynp9TdgxL0Qi3KcLUmOAnNUgD43cBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:23.631376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82e86691fcb5ae61400f63ada9e9c78eb8f31ba30c911edebe18c2d6b285dcd6","sha256:388bbd49a107cbd2f12a8b3b4e80e9f55282702de9858eee139946cc5945d1c7"],"state_sha256":"0790e1a3e674f83a24beb6ba1c078f3103538f223dd0624a55cada102e98126e"}