{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PEOBRSKRYG5DUJJSC4RDMF7DNE","short_pith_number":"pith:PEOBRSKR","schema_version":"1.0","canonical_sha256":"791c18c951c1ba3a253217223617e36905ecaa95cc434f2d581232fe46433463","source":{"kind":"arxiv","id":"2605.16627","version":1},"attestation_state":"computed","paper":{"title":"Homogenization effects on non-local functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enrico Micalizio","submitted_at":"2026-05-15T20:48:30Z","abstract_excerpt":"We study the homogenization of a class of non-local functionals featuring a rapidly oscillating periodic weight. By means of two-scale convergence, we explicitly evaluate the {\\Gamma}-limit for constant target functions, revealing how the interplay between periodicity and non-locality forces the minimizing sequences to develop highly oscillating microstructures. As a natural consequence, we establish that the effective macroscopic functional fails to admit a standard double-integral representation."},"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":"2605.16627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T20:48:30Z","cross_cats_sorted":[],"title_canon_sha256":"44f7c1bb1a6e8d746b9536ae3684214e5de6530b1377874fa221c01bab29d081","abstract_canon_sha256":"3f69c551e8573d1ab3ab1a17c97836c6970d60f08948dc4f84ddc4deb5ab66eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:02:33.161714Z","signature_b64":"QyxkRkGvf6zg7hH2USEaKQj37tyf5kCCBFnIzajDZAwQj5tPrkq+1AHS9QCeMIjPDFqaY0qf2ZmJNTc3HP/gAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"791c18c951c1ba3a253217223617e36905ecaa95cc434f2d581232fe46433463","last_reissued_at":"2026-05-20T00:02:33.161043Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:02:33.161043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization effects on non-local functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enrico Micalizio","submitted_at":"2026-05-15T20:48:30Z","abstract_excerpt":"We study the homogenization of a class of non-local functionals featuring a rapidly oscillating periodic weight. By means of two-scale convergence, we explicitly evaluate the {\\Gamma}-limit for constant target functions, revealing how the interplay between periodicity and non-locality forces the minimizing sequences to develop highly oscillating microstructures. As a natural consequence, we establish that the effective macroscopic functional fails to admit a standard double-integral representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16627","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16627/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-19T19:21:56.755675Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T18:33:26.584069Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"f7a137a1ab07c71465c833ba7622d6ba4fb332343899e8884cf9459f34acab9c"},"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":"2605.16627","created_at":"2026-05-20T00:02:33.161170+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.16627v1","created_at":"2026-05-20T00:02:33.161170+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16627","created_at":"2026-05-20T00:02:33.161170+00:00"},{"alias_kind":"pith_short_12","alias_value":"PEOBRSKRYG5D","created_at":"2026-05-20T00:02:33.161170+00:00"},{"alias_kind":"pith_short_16","alias_value":"PEOBRSKRYG5DUJJS","created_at":"2026-05-20T00:02:33.161170+00:00"},{"alias_kind":"pith_short_8","alias_value":"PEOBRSKR","created_at":"2026-05-20T00:02:33.161170+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/PEOBRSKRYG5DUJJSC4RDMF7DNE","json":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE.json","graph_json":"https://pith.science/api/pith-number/PEOBRSKRYG5DUJJSC4RDMF7DNE/graph.json","events_json":"https://pith.science/api/pith-number/PEOBRSKRYG5DUJJSC4RDMF7DNE/events.json","paper":"https://pith.science/paper/PEOBRSKR"},"agent_actions":{"view_html":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE","download_json":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE.json","view_paper":"https://pith.science/paper/PEOBRSKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.16627&json=true","fetch_graph":"https://pith.science/api/pith-number/PEOBRSKRYG5DUJJSC4RDMF7DNE/graph.json","fetch_events":"https://pith.science/api/pith-number/PEOBRSKRYG5DUJJSC4RDMF7DNE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE/action/storage_attestation","attest_author":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE/action/author_attestation","sign_citation":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE/action/citation_signature","submit_replication":"https://pith.science/pith/PEOBRSKRYG5DUJJSC4RDMF7DNE/action/replication_record"}},"created_at":"2026-05-20T00:02:33.161170+00:00","updated_at":"2026-05-20T00:02:33.161170+00:00"}