{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5R4XH2ZRWEW3K57AT66PPW7FRC","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":"5e4916c29ea7c4606051615ce41770e8b514f7985f434f54c79660cfba733726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-01T11:32:45Z","title_canon_sha256":"9c3ee1676fb56af0c923cbba6049ec4c898472a08af4531c6d89a3d7731e563c"},"schema_version":"1.0","source":{"id":"1609.00191","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.00191","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1609.00191v2","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00191","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"5R4XH2ZRWEW3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5R4XH2ZRWEW3K57A","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5R4XH2ZR","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:d18355a977969e3a097a264ccf49e9e2402329104345766777c2d1491c163e06","target":"graph","created_at":"2026-05-18T00:06:43Z","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 study a general asymptotic behavior of critical points of a diffused interface energy with a fixed contact angle condition defined on a domain $\\Omega \\subset \\mathbb{R}^n$. We show that the limit varifold derived from the diffused energy satisfies a generalized contact angle condition on the boundary under a set of assumptions.","authors_text":"Takashi Kagaya, Yoshihiro Tonegawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-01T11:32:45Z","title":"A singular perturbation limit of diffused interface energy with a fixed contact angle condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00191","kind":"arxiv","version":2},"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":"sha256:22b1e6bb9f4d1758d6fd08f9aab7c203cd0615e95c959f4ec8245bfb9dcdb0db","target":"record","created_at":"2026-05-18T00:06:43Z","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":"5e4916c29ea7c4606051615ce41770e8b514f7985f434f54c79660cfba733726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-01T11:32:45Z","title_canon_sha256":"9c3ee1676fb56af0c923cbba6049ec4c898472a08af4531c6d89a3d7731e563c"},"schema_version":"1.0","source":{"id":"1609.00191","kind":"arxiv","version":2}},"canonical_sha256":"ec7973eb31b12db577e09fbcf7dbe588b40faecadf8b251ab1ff517ea0e0dfe0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec7973eb31b12db577e09fbcf7dbe588b40faecadf8b251ab1ff517ea0e0dfe0","first_computed_at":"2026-05-18T00:06:43.841799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:43.841799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a8rUizB30qQhdUVu12WCjIkiDNO5zZ/+QIblEystMDst5m7CIp+gloCl9KwECSGhSZ+h1G0U47uE/zsGWlFxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:43.842298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.00191","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22b1e6bb9f4d1758d6fd08f9aab7c203cd0615e95c959f4ec8245bfb9dcdb0db","sha256:d18355a977969e3a097a264ccf49e9e2402329104345766777c2d1491c163e06"],"state_sha256":"d2164da62a191e3e10a6517ac3ceabf1da9b3dd3510477c57a55bd9af326a81a"}