{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BXDLJ5HWHWBSAZQ6N6BDBQEPOX","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":"b7158ceb3e71ffddcf3de10d6d2a6b40eb4329fac08ba9ce2797c69382b89c47","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T16:51:43Z","title_canon_sha256":"5fe114216ddfdd91f6759cfbdf43ef63d45e886f7fee681519b783b5593a8ad5"},"schema_version":"1.0","source":{"id":"1510.03364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03364","created_at":"2026-05-18T01:08:20Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03364v1","created_at":"2026-05-18T01:08:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03364","created_at":"2026-05-18T01:08:20Z"},{"alias_kind":"pith_short_12","alias_value":"BXDLJ5HWHWBS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BXDLJ5HWHWBSAZQ6","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BXDLJ5HW","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:e91561956141b95616a9b300ef98a0f44bd8231c6b0ed86fb2e375ef8d4962cd","target":"graph","created_at":"2026-05-18T01:08:20Z","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 prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing homogenisation techniques. Our asymptotic analysis is based on a special representation of the resolvent of the operator in terms of the $M$-matrix of an associated boundary triple (\"Krein resolvent formula''). The resulting asymptotic behaviour is shown to be described, up to a unitary equivalent transformation, by a non-standard version of the Kronig-Pen","authors_text":"Alexander V. Kiselev, Kirill D. Cherednichenko","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T16:51:43Z","title":"Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03364","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:d28ca2b03c61f07b9cb190e31bd47e00167258076d1e994bb93b7c7065fbe182","target":"record","created_at":"2026-05-18T01:08:20Z","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":"b7158ceb3e71ffddcf3de10d6d2a6b40eb4329fac08ba9ce2797c69382b89c47","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-12T16:51:43Z","title_canon_sha256":"5fe114216ddfdd91f6759cfbdf43ef63d45e886f7fee681519b783b5593a8ad5"},"schema_version":"1.0","source":{"id":"1510.03364","kind":"arxiv","version":1}},"canonical_sha256":"0dc6b4f4f63d8320661e6f8230c08f75e9e8032699e10cfb128ea95e7b9777cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0dc6b4f4f63d8320661e6f8230c08f75e9e8032699e10cfb128ea95e7b9777cf","first_computed_at":"2026-05-18T01:08:20.801165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:20.801165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AhKVv8pf0SzfYiXEPcYMyPTAcL/yYwQ8CiHkzVpPNefRSk1CPeTO5AG+sid3O6P/Dq77DVjW0xKL45MHp+qMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:20.801739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28ca2b03c61f07b9cb190e31bd47e00167258076d1e994bb93b7c7065fbe182","sha256:e91561956141b95616a9b300ef98a0f44bd8231c6b0ed86fb2e375ef8d4962cd"],"state_sha256":"394d52fd15db2ecf9030d97211ec359bdd166be90a7d1b2a2986da581dfd3987"}