{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TY76LO2EQO3OK4QSYYULDW5CO7","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":"c18f4067f8a8553155cca63d8fb7bfc80bff263e061d6bd221fa080590f9d85b","cross_cats_sorted":["math.FA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-17T19:20:19Z","title_canon_sha256":"60c9eae14cfd87ff675d02828bf5f3b4caa042d3a857732e30590a2a406f23a1"},"schema_version":"1.0","source":{"id":"1107.3325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3325","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3325v1","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3325","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"pith_short_12","alias_value":"TY76LO2EQO3O","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TY76LO2EQO3OK4QS","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TY76LO2E","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:4e1368a4cafb72611bd0a150085b63051fc72129fcdcbe1789ed8446987e70dc","target":"graph","created_at":"2026-05-18T02:01:15Z","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 characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L^2-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Gamma-convergence.","authors_text":"Matteo Novaga, Michael Goldman (CMAP)","cross_cats":["math.FA","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-17T19:20:19Z","title":"Approximation and relaxation of perimeter in the Wiener space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3325","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":"sha256:27d27ffdc73081ac11e68c5501c10d5989d8c0c0e78ea43a17162cb4024c2734","target":"record","created_at":"2026-05-18T02:01:15Z","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":"c18f4067f8a8553155cca63d8fb7bfc80bff263e061d6bd221fa080590f9d85b","cross_cats_sorted":["math.FA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-17T19:20:19Z","title_canon_sha256":"60c9eae14cfd87ff675d02828bf5f3b4caa042d3a857732e30590a2a406f23a1"},"schema_version":"1.0","source":{"id":"1107.3325","kind":"arxiv","version":1}},"canonical_sha256":"9e3fe5bb4483b6e57212c628b1dba277f36ef1cc82cb844486d025ceae018e0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e3fe5bb4483b6e57212c628b1dba277f36ef1cc82cb844486d025ceae018e0c","first_computed_at":"2026-05-18T02:01:15.778631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:15.778631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WnKZpn4j/l70Mp1wOfANw976OfSi+SNR4pcNoWiOAKEDPAMH7HGihWRIlMSzKSjnM50kfLqIFGavX6igDhGSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:15.779221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d27ffdc73081ac11e68c5501c10d5989d8c0c0e78ea43a17162cb4024c2734","sha256:4e1368a4cafb72611bd0a150085b63051fc72129fcdcbe1789ed8446987e70dc"],"state_sha256":"3195fc0459323bb1214d7e073af8c622f9eb62b8afd47bf8e5b4bd115c473510"}