{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7DJX2LWXVVJXWC5AWUZK23MPVV","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":"79a8231eca14c2ca8eb9c38a6b33696e39ba59151470f81feaeaaa65b713c0eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-10T17:37:04Z","title_canon_sha256":"2061d6e69fc707d9721a945b3f5b1cef3ab071a209e57285d008589f34c17a22"},"schema_version":"1.0","source":{"id":"1502.03004","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03004","created_at":"2026-05-18T01:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03004v3","created_at":"2026-05-18T01:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03004","created_at":"2026-05-18T01:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"7DJX2LWXVVJX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7DJX2LWXVVJXWC5A","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7DJX2LWX","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:2b51158ddd1b592ac1238d1703ca7043641a4d19a69a83b307a41d46b7d05b88","target":"graph","created_at":"2026-05-18T01:25:39Z","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 show that every area-minimizing hypercone and every oriented Lawlor cone in [Law91] can be realized as a tangent cone at a point of some homologically area-minimizing singular compact submanifold. In particular this generalizes the result of N. Smale [Sma99].","authors_text":"Yongsheng Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-10T17:37:04Z","title":"On realization of tangent cones of homologically area-minimizing compact singular submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03004","kind":"arxiv","version":3},"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":"sha256:88466c8acdac27abdb9bc13c679227689d9a4fbf172a29f625f4cce83d7a9a19","target":"record","created_at":"2026-05-18T01:25:39Z","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":"79a8231eca14c2ca8eb9c38a6b33696e39ba59151470f81feaeaaa65b713c0eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-10T17:37:04Z","title_canon_sha256":"2061d6e69fc707d9721a945b3f5b1cef3ab071a209e57285d008589f34c17a22"},"schema_version":"1.0","source":{"id":"1502.03004","kind":"arxiv","version":3}},"canonical_sha256":"f8d37d2ed7ad537b0ba0b532ad6d8fad69aeae6d9a85d0203eaf9ee555cfffc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8d37d2ed7ad537b0ba0b532ad6d8fad69aeae6d9a85d0203eaf9ee555cfffc2","first_computed_at":"2026-05-18T01:25:39.483006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:39.483006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RXzvRn94j8lxLk0+qBPG5JhqdPDwaly82npLa15QWi2STfzhtirLn16jewJyvcprR5jtToJZQwofWcELXsJsAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:39.483619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03004","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88466c8acdac27abdb9bc13c679227689d9a4fbf172a29f625f4cce83d7a9a19","sha256:2b51158ddd1b592ac1238d1703ca7043641a4d19a69a83b307a41d46b7d05b88"],"state_sha256":"1bbabd8dea512d2692c971539897e438593c0c613633dd445b75cb596f5b1a96"}