{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GZR6Z6EN4GATGECMCTW4UONMOR","short_pith_number":"pith:GZR6Z6EN","canonical_record":{"source":{"id":"1703.01124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T12:16:51Z","cross_cats_sorted":[],"title_canon_sha256":"4d1dc8b35ba1663febba727b8ad6d9862d93d60d8848285e7b34c859c02ad01b","abstract_canon_sha256":"f5972bf7784e6ade328aa3c59cf37a9431b0e6efa54364ee0215a02d3e3f00e4"},"schema_version":"1.0"},"canonical_sha256":"3663ecf88de18133104c14edca39ac744e77c788dc561e1604456680bdea7db5","source":{"kind":"arxiv","id":"1703.01124","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01124","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01124v2","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01124","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"GZR6Z6EN4GAT","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GZR6Z6EN4GATGECM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GZR6Z6EN","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GZR6Z6EN4GATGECMCTW4UONMOR","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T12:16:51Z","cross_cats_sorted":[],"title_canon_sha256":"4d1dc8b35ba1663febba727b8ad6d9862d93d60d8848285e7b34c859c02ad01b","abstract_canon_sha256":"f5972bf7784e6ade328aa3c59cf37a9431b0e6efa54364ee0215a02d3e3f00e4"},"schema_version":"1.0"},"canonical_sha256":"3663ecf88de18133104c14edca39ac744e77c788dc561e1604456680bdea7db5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:53.171822Z","signature_b64":"gKK472De/Q/5aQ73OxBezhiH4jL5D11fBkueZ+8k92Q7tNpGxhjZEEEdYMfM3wTKKo1galhWdn1TAxjRNV2tCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3663ecf88de18133104c14edca39ac744e77c788dc561e1604456680bdea7db5","last_reissued_at":"2026-05-18T00:09:53.171213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:53.171213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01124","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:09:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySYsYcc3LZBshiTo8rHA/iv3MgGzQ/uWx7d2evTWMZPtHRCV2DzRrIowgDzqjziqXyz3XG5/51iHWOq5XIkWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:55:18.984625Z"},"content_sha256":"183a44b8f50c30adad1abb1094027d52175c9d02f6227fed5ba4c02b54af99e3","schema_version":"1.0","event_id":"sha256:183a44b8f50c30adad1abb1094027d52175c9d02f6227fed5ba4c02b54af99e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GZR6Z6EN4GATGECMCTW4UONMOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Converging expansions for Lipschitz self-similar perforations of a plane sector","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Costabel (IRMAR), Matteo Dalla Riva, Monique Dauge (IRMAR), Paolo Musolino","submitted_at":"2017-03-03T12:16:51Z","abstract_excerpt":"In contrast with the well-known methods of matching asymptotics and multiscale (or compound) asymptotics, the \" functional analytic approach \" of Lanza de Cristoforis (Analysis 28, 2008) allows to prove convergence of expansions around interior small holes of size $\\epsilon$ for solutions of elliptic boundary value problems. Using the method of layer potentials, the asymptotic behavior of the solution as $\\epsilon$ tends to zero is described not only by asymptotic series in powers of $\\epsilon$, but by convergent power series. Here we use this method to investigate the Dirichlet problem for th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01124","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:09:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xi0CZL1vattPg7lAw6fEnnmvrKi5ilSDcsvn7BO886CjC0TFs8O4Xo3zAB/eOWiQjvHT+G46isWfDJgjFNCNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:55:18.984992Z"},"content_sha256":"816747a014b9f36396a98d83bd53102e39690a8ad0a7c4639b69982c34b9ad0a","schema_version":"1.0","event_id":"sha256:816747a014b9f36396a98d83bd53102e39690a8ad0a7c4639b69982c34b9ad0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZR6Z6EN4GATGECMCTW4UONMOR/bundle.json","state_url":"https://pith.science/pith/GZR6Z6EN4GATGECMCTW4UONMOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZR6Z6EN4GATGECMCTW4UONMOR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T21:55:18Z","links":{"resolver":"https://pith.science/pith/GZR6Z6EN4GATGECMCTW4UONMOR","bundle":"https://pith.science/pith/GZR6Z6EN4GATGECMCTW4UONMOR/bundle.json","state":"https://pith.science/pith/GZR6Z6EN4GATGECMCTW4UONMOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZR6Z6EN4GATGECMCTW4UONMOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GZR6Z6EN4GATGECMCTW4UONMOR","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":"f5972bf7784e6ade328aa3c59cf37a9431b0e6efa54364ee0215a02d3e3f00e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T12:16:51Z","title_canon_sha256":"4d1dc8b35ba1663febba727b8ad6d9862d93d60d8848285e7b34c859c02ad01b"},"schema_version":"1.0","source":{"id":"1703.01124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01124","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01124v2","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01124","created_at":"2026-05-18T00:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"GZR6Z6EN4GAT","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GZR6Z6EN4GATGECM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GZR6Z6EN","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:816747a014b9f36396a98d83bd53102e39690a8ad0a7c4639b69982c34b9ad0a","target":"graph","created_at":"2026-05-18T00:09:53Z","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":"In contrast with the well-known methods of matching asymptotics and multiscale (or compound) asymptotics, the \" functional analytic approach \" of Lanza de Cristoforis (Analysis 28, 2008) allows to prove convergence of expansions around interior small holes of size $\\epsilon$ for solutions of elliptic boundary value problems. Using the method of layer potentials, the asymptotic behavior of the solution as $\\epsilon$ tends to zero is described not only by asymptotic series in powers of $\\epsilon$, but by convergent power series. Here we use this method to investigate the Dirichlet problem for th","authors_text":"Martin Costabel (IRMAR), Matteo Dalla Riva, Monique Dauge (IRMAR), Paolo Musolino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T12:16:51Z","title":"Converging expansions for Lipschitz self-similar perforations of a plane sector"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01124","kind":"arxiv","version":2},"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":"sha256:183a44b8f50c30adad1abb1094027d52175c9d02f6227fed5ba4c02b54af99e3","target":"record","created_at":"2026-05-18T00:09:53Z","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":"f5972bf7784e6ade328aa3c59cf37a9431b0e6efa54364ee0215a02d3e3f00e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T12:16:51Z","title_canon_sha256":"4d1dc8b35ba1663febba727b8ad6d9862d93d60d8848285e7b34c859c02ad01b"},"schema_version":"1.0","source":{"id":"1703.01124","kind":"arxiv","version":2}},"canonical_sha256":"3663ecf88de18133104c14edca39ac744e77c788dc561e1604456680bdea7db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3663ecf88de18133104c14edca39ac744e77c788dc561e1604456680bdea7db5","first_computed_at":"2026-05-18T00:09:53.171213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:53.171213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gKK472De/Q/5aQ73OxBezhiH4jL5D11fBkueZ+8k92Q7tNpGxhjZEEEdYMfM3wTKKo1galhWdn1TAxjRNV2tCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:53.171822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:183a44b8f50c30adad1abb1094027d52175c9d02f6227fed5ba4c02b54af99e3","sha256:816747a014b9f36396a98d83bd53102e39690a8ad0a7c4639b69982c34b9ad0a"],"state_sha256":"bc3c4210c4d78e71bec9a28997447bef68b1bcf029766d067165541d344c2652"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g4v7bDaqRdz9jsibVs8Vt+xFqG0ZTKqbFJretJ6JQuVAeMycauxqdA09Tyd7uOlBaK12g4SAVOQJ9p5jV4X6Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:55:18.987233Z","bundle_sha256":"a66c93fc2fb70b76327826b59554faa3d8a14866bbe3909223526ac60c9e69cf"}}