{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GX2PUU344O4NU2QIYHR4OA577V","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":"0d5bc4cab9c474a9c923c2760611c757c02a32dd2b3685bacdbc689d0d640da4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-24T06:54:16Z","title_canon_sha256":"8c6e03b885d84b883548d6867537b44446f1f3bb5a7a41fdddd3e2b75172ba7a"},"schema_version":"1.0","source":{"id":"1503.06928","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06928","created_at":"2026-05-18T01:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06928v3","created_at":"2026-05-18T01:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06928","created_at":"2026-05-18T01:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"GX2PUU344O4N","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GX2PUU344O4NU2QI","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GX2PUU34","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:0606161e6582d64ecbd6cb04031c93dcc0be040a26f643f1a09b811b052d3ba0","target":"graph","created_at":"2026-05-18T01:23:50Z","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 the integral representation of $\\Gamma$-limits of $p$-coercive integral functionals of the calculus of variations in the spirit of \\cite{dalmaso-modica86}. We use infima of local Dirichlet problems to characterize the limit integrands. Applications to homogenization and relaxation are given.","authors_text":"Jean-Philippe Mandallena, Omar Anza Hafsa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-24T06:54:16Z","title":"$\\Gamma$-limits of functionals determined by their infima"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06928","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:b458af1d25f8676a5ab0b9899fcd4d5c25f7b9fcf5f414b96255a92b501d3dd4","target":"record","created_at":"2026-05-18T01:23:50Z","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":"0d5bc4cab9c474a9c923c2760611c757c02a32dd2b3685bacdbc689d0d640da4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-24T06:54:16Z","title_canon_sha256":"8c6e03b885d84b883548d6867537b44446f1f3bb5a7a41fdddd3e2b75172ba7a"},"schema_version":"1.0","source":{"id":"1503.06928","kind":"arxiv","version":3}},"canonical_sha256":"35f4fa537ce3b8da6a08c1e3c703bffd48b6187bc14e61438af91e2374dd5c1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35f4fa537ce3b8da6a08c1e3c703bffd48b6187bc14e61438af91e2374dd5c1e","first_computed_at":"2026-05-18T01:23:50.772934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:50.772934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+PSpghUzBImy2EiHyiGZcfs/taGTG9p9fDYDDr4aZeJsu979S8csUZMlhO4SxWgefFAb5xhxFj7HCX4vXC5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:50.773540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06928","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b458af1d25f8676a5ab0b9899fcd4d5c25f7b9fcf5f414b96255a92b501d3dd4","sha256:0606161e6582d64ecbd6cb04031c93dcc0be040a26f643f1a09b811b052d3ba0"],"state_sha256":"7abb7c957d687119b17ea9c264136d19a65e993216dd530f1e842370f10d306b"}