{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JP7LSV7LFWRMAPGSXK6P6S522W","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":"f97e5a274f3718b53e4ec1d2cf3888c43926bbb936ad4838b957d096dc78b303","cross_cats_sorted":["math.MG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-18T15:45:35Z","title_canon_sha256":"6dd6de65a3e20e0a1631b266d0f5f5d0ce2e965d66288ed754fd315fa51f0f4e"},"schema_version":"1.0","source":{"id":"1408.4047","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4047","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4047v2","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4047","created_at":"2026-05-18T02:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"JP7LSV7LFWRM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JP7LSV7LFWRMAPGS","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JP7LSV7L","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:dbf7e1ba524503d164fafa853d279d1420d024381fa00a21f19b7c1651664a38","target":"graph","created_at":"2026-05-18T02:43:27Z","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 compactness principle which is applicable to different formulations of Plateau's problem in codimension one and which is exclusively based on the theory of Radon measures and elementary comparison arguments. Exploiting some additional techniques in geometric measure theory, we can use this principle to give a different proof of a theorem by Harrison and Pugh and to answer a question raised by Guy David.","authors_text":"Camillo De Lellis, Francesco Ghiraldin, Francesco Maggi","cross_cats":["math.MG","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-18T15:45:35Z","title":"A direct approach to Plateau's problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4047","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":"sha256:266e7b80de2fbc984490447ebbeed9f1c38b913b104ed419a4946e755453fd38","target":"record","created_at":"2026-05-18T02:43:27Z","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":"f97e5a274f3718b53e4ec1d2cf3888c43926bbb936ad4838b957d096dc78b303","cross_cats_sorted":["math.MG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-18T15:45:35Z","title_canon_sha256":"6dd6de65a3e20e0a1631b266d0f5f5d0ce2e965d66288ed754fd315fa51f0f4e"},"schema_version":"1.0","source":{"id":"1408.4047","kind":"arxiv","version":2}},"canonical_sha256":"4bfeb957eb2da2c03cd2babcff4bbad592fbe5d023466a6848022554fa2eadf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfeb957eb2da2c03cd2babcff4bbad592fbe5d023466a6848022554fa2eadf0","first_computed_at":"2026-05-18T02:43:27.672227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:27.672227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N8EQR1ynUkm7407BJ3fYO1BQyc/hDwM88VHMqNyarwlDiKYLyAN0g6gZfuXUbT7pG4shWFm+WQNSRdDFT5gcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:27.672899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4047","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:266e7b80de2fbc984490447ebbeed9f1c38b913b104ed419a4946e755453fd38","sha256:dbf7e1ba524503d164fafa853d279d1420d024381fa00a21f19b7c1651664a38"],"state_sha256":"aa39dd8a85dc7edaee11a336cf21a197f17481e29521cf9aedd6bdd443e7586e"}