{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6JXQ7FPSTCIDTR3E4SIJZHVLD3","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":"fe46419c08db061ba38ff7aec6384bbb6e95f86d5695e4c0b736413a948701bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T21:17:49Z","title_canon_sha256":"04e993a1c0acedf2ed4c1c5fb7e5940de6ce0e8d8280ec514144316125180584"},"schema_version":"1.0","source":{"id":"1705.10400","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10400","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10400v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10400","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"6JXQ7FPSTCID","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6JXQ7FPSTCIDTR3E","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6JXQ7FPS","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:e15ce4f458e06cfc0b0da3979ea380f31f7f6731cf15ac30b518d4de53a79749","target":"graph","created_at":"2026-05-18T00:43:31Z","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 consider the plane elasticity problem for two circular holes. When two holes are close to touching, the stress concentration happens in the narrow gap region. In this paper, we characterize the stress singularity between the two holes by an explicit function. A new method of a singular asymptotic expansion for the Fourier series with slowing decaying coefficients is developed to investigate the asymptotic behavior of the stress.","authors_text":"Mikyoung Lim, Sanghyeon Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T21:17:49Z","title":"Stress concentration for two nearly touching circular holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10400","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:d00a4a8804b40924e4d5a8f6323079dc905f0fc7d778751c5c80981003070cc0","target":"record","created_at":"2026-05-18T00:43:31Z","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":"fe46419c08db061ba38ff7aec6384bbb6e95f86d5695e4c0b736413a948701bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-29T21:17:49Z","title_canon_sha256":"04e993a1c0acedf2ed4c1c5fb7e5940de6ce0e8d8280ec514144316125180584"},"schema_version":"1.0","source":{"id":"1705.10400","kind":"arxiv","version":1}},"canonical_sha256":"f26f0f95f2989039c764e4909c9eab1ed0c3453c6e10f942f58566b86ee71568","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f26f0f95f2989039c764e4909c9eab1ed0c3453c6e10f942f58566b86ee71568","first_computed_at":"2026-05-18T00:43:31.148629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.148629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5YcDZkqBuClYGSTSNuc9GtSSCXh7s+Xuv+c3qImnF6R0FFJJB8DJS6aA1zRQqFL5ickz2Jnm/6zlmNOpuFeFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.149109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10400","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00a4a8804b40924e4d5a8f6323079dc905f0fc7d778751c5c80981003070cc0","sha256:e15ce4f458e06cfc0b0da3979ea380f31f7f6731cf15ac30b518d4de53a79749"],"state_sha256":"fb35e997ffa99c9ccc48eee854fa6adcc142f31688170c7ddfabb2d9ed37301b"}