{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6RO2SI4UDZXSEAMT6PTA2IFS4P","short_pith_number":"pith:6RO2SI4U","schema_version":"1.0","canonical_sha256":"f45da923941e6f220193f3e60d20b2e3f04bd8cad793a52c836052092c23a578","source":{"kind":"arxiv","id":"2502.09493","version":2},"attestation_state":"computed","paper":{"title":"Quantitative estimates for high-contrast random media","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Igor Vel\\v{c}i\\'c, Matteo Capoferri, Mikhail Cherdantsev, Peter Bella","submitted_at":"2025-02-13T16:59:36Z","abstract_excerpt":"This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on the size of the holes and a separation condition between them, we derive optimal bounds for the regularity radius $r_*$ and suboptimal growth estimates for the corrector. These results are key ingredients for error analysis in stochastic homogenization and serve as crucial input for recent developments in the double-porosity model, such as those by Bonhomme, Duerinckx, and Gloria (arXiv:2502.02847)."},"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":"2502.09493","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-13T16:59:36Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"d7d4d5f3db2d091a0bfa5b9a5249e6887b5e1e88718770e95f90c396ba7c170e","abstract_canon_sha256":"0d794c5194e2979d2cbfdbc1892ba4f69e65c3831cb82c15990bb07348e58ae3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:03.955374Z","signature_b64":"fPKDlaF2iY5ASPuZbn9pWEGgqZmpy+QhP1IU9uz1W5VeVn2pIt+YWu38cXbu7iLpXYWFd5ETCdXSfONlyN5dDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f45da923941e6f220193f3e60d20b2e3f04bd8cad793a52c836052092c23a578","last_reissued_at":"2026-07-05T11:14:03.954809Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:03.954809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantitative estimates for high-contrast random media","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Igor Vel\\v{c}i\\'c, Matteo Capoferri, Mikhail Cherdantsev, Peter Bella","submitted_at":"2025-02-13T16:59:36Z","abstract_excerpt":"This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on the size of the holes and a separation condition between them, we derive optimal bounds for the regularity radius $r_*$ and suboptimal growth estimates for the corrector. These results are key ingredients for error analysis in stochastic homogenization and serve as crucial input for recent developments in the double-porosity model, such as those by Bonhomme, Duerinckx, and Gloria (arXiv:2502.02847)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09493","kind":"arxiv","version":2},"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/2502.09493/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2502.09493","created_at":"2026-07-05T11:14:03.954871+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.09493v2","created_at":"2026-07-05T11:14:03.954871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09493","created_at":"2026-07-05T11:14:03.954871+00:00"},{"alias_kind":"pith_short_12","alias_value":"6RO2SI4UDZXS","created_at":"2026-07-05T11:14:03.954871+00:00"},{"alias_kind":"pith_short_16","alias_value":"6RO2SI4UDZXSEAMT","created_at":"2026-07-05T11:14:03.954871+00:00"},{"alias_kind":"pith_short_8","alias_value":"6RO2SI4U","created_at":"2026-07-05T11:14:03.954871+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/6RO2SI4UDZXSEAMT6PTA2IFS4P","json":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P.json","graph_json":"https://pith.science/api/pith-number/6RO2SI4UDZXSEAMT6PTA2IFS4P/graph.json","events_json":"https://pith.science/api/pith-number/6RO2SI4UDZXSEAMT6PTA2IFS4P/events.json","paper":"https://pith.science/paper/6RO2SI4U"},"agent_actions":{"view_html":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P","download_json":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P.json","view_paper":"https://pith.science/paper/6RO2SI4U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.09493&json=true","fetch_graph":"https://pith.science/api/pith-number/6RO2SI4UDZXSEAMT6PTA2IFS4P/graph.json","fetch_events":"https://pith.science/api/pith-number/6RO2SI4UDZXSEAMT6PTA2IFS4P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P/action/storage_attestation","attest_author":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P/action/author_attestation","sign_citation":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P/action/citation_signature","submit_replication":"https://pith.science/pith/6RO2SI4UDZXSEAMT6PTA2IFS4P/action/replication_record"}},"created_at":"2026-07-05T11:14:03.954871+00:00","updated_at":"2026-07-05T11:14:03.954871+00:00"}