{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:LW6PYP6D2MUE5N2BCPLM6EJIXF","short_pith_number":"pith:LW6PYP6D","schema_version":"1.0","canonical_sha256":"5dbcfc3fc3d3284eb74113d6cf1128b974174fadc306d4b7e9f58a5597ae2919","source":{"kind":"arxiv","id":"1610.08564","version":2},"attestation_state":"computed","paper":{"title":"Wulff shape for equilibrium phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Charles Radin","submitted_at":"2016-10-26T22:34:46Z","abstract_excerpt":"We use surface tension to distinguish between phases with isotropic internal structure from phases which are microscopically anisotropic. There are many interesting open problems, especially in two dimensions, and in phase coexistence."},"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":"1610.08564","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-26T22:34:46Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"title_canon_sha256":"66049ba2d26eb3327399003cd1a1b57de5711072cb0d630935553b9fc244becf","abstract_canon_sha256":"19ab0bf0d76e2f0dc6f200a6ddb0454cf3975151b293e1a9ef3b4b3351a5e33f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:22.915340Z","signature_b64":"IhfLmC8Y84l/YLE1bDK8/xNAkxLcz/PPJwBPHQHHe0FbEmd12RIcOjw59E/sNH+JSjLSEkuRgj7XXqmUXtiXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dbcfc3fc3d3284eb74113d6cf1128b974174fadc306d4b7e9f58a5597ae2919","last_reissued_at":"2026-05-18T00:39:22.914569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:22.914569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wulff shape for equilibrium phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Charles Radin","submitted_at":"2016-10-26T22:34:46Z","abstract_excerpt":"We use surface tension to distinguish between phases with isotropic internal structure from phases which are microscopically anisotropic. There are many interesting open problems, especially in two dimensions, and in phase coexistence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08564","kind":"arxiv","version":2},"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":"1610.08564","created_at":"2026-05-18T00:39:22.914695+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.08564v2","created_at":"2026-05-18T00:39:22.914695+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08564","created_at":"2026-05-18T00:39:22.914695+00:00"},{"alias_kind":"pith_short_12","alias_value":"LW6PYP6D2MUE","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"LW6PYP6D2MUE5N2B","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"LW6PYP6D","created_at":"2026-05-18T12:30:29.479603+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/LW6PYP6D2MUE5N2BCPLM6EJIXF","json":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF.json","graph_json":"https://pith.science/api/pith-number/LW6PYP6D2MUE5N2BCPLM6EJIXF/graph.json","events_json":"https://pith.science/api/pith-number/LW6PYP6D2MUE5N2BCPLM6EJIXF/events.json","paper":"https://pith.science/paper/LW6PYP6D"},"agent_actions":{"view_html":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF","download_json":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF.json","view_paper":"https://pith.science/paper/LW6PYP6D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.08564&json=true","fetch_graph":"https://pith.science/api/pith-number/LW6PYP6D2MUE5N2BCPLM6EJIXF/graph.json","fetch_events":"https://pith.science/api/pith-number/LW6PYP6D2MUE5N2BCPLM6EJIXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF/action/storage_attestation","attest_author":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF/action/author_attestation","sign_citation":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF/action/citation_signature","submit_replication":"https://pith.science/pith/LW6PYP6D2MUE5N2BCPLM6EJIXF/action/replication_record"}},"created_at":"2026-05-18T00:39:22.914695+00:00","updated_at":"2026-05-18T00:39:22.914695+00:00"}