{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LE4C3ZA73LA6G3ULRUHTRA2NR3","short_pith_number":"pith:LE4C3ZA7","canonical_record":{"source":{"id":"1305.0921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T13:53:57Z","cross_cats_sorted":[],"title_canon_sha256":"32a0861439dc26a0f32b8bcce60fc0f7f31061cf06316e9d15c077ac108ef156","abstract_canon_sha256":"35698bf07bcc53e0d64e18d13e3187ddfe4fc0ad4b525dc19dffa6c1c798a200"},"schema_version":"1.0"},"canonical_sha256":"59382de41fdac1e36e8b8d0f38834d8ecb41fa2f57ecf2895e0cf3b7f3417044","source":{"kind":"arxiv","id":"1305.0921","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0921","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0921v1","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0921","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"LE4C3ZA73LA6","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LE4C3ZA73LA6G3UL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LE4C3ZA7","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LE4C3ZA73LA6G3ULRUHTRA2NR3","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T13:53:57Z","cross_cats_sorted":[],"title_canon_sha256":"32a0861439dc26a0f32b8bcce60fc0f7f31061cf06316e9d15c077ac108ef156","abstract_canon_sha256":"35698bf07bcc53e0d64e18d13e3187ddfe4fc0ad4b525dc19dffa6c1c798a200"},"schema_version":"1.0"},"canonical_sha256":"59382de41fdac1e36e8b8d0f38834d8ecb41fa2f57ecf2895e0cf3b7f3417044","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:31.283987Z","signature_b64":"G/HQBXOkx9eAXjwzkZlUPfBSg+/U18zF/+RgRv0unA2DAXdREm4pKlSFQjMdw/hkkC+wsv1oN9jMb9T4EHYzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59382de41fdac1e36e8b8d0f38834d8ecb41fa2f57ecf2895e0cf3b7f3417044","last_reissued_at":"2026-05-18T03:26:31.283454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:31.283454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0921","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AXOl19uMvJljaAuygbXiadIi0xawvPW3+YTgoLs7hOHrzx8HHAX/v1gngqof9HCLWEZtPMVXIaWHFhR39QD8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:44:08.308845Z"},"content_sha256":"eafde7b02a130a1961f96f60a098456d2d9d3a8c76487e134a22d3439c968c9a","schema_version":"1.0","event_id":"sha256:eafde7b02a130a1961f96f60a098456d2d9d3a8c76487e134a22d3439c968c9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LE4C3ZA73LA6G3ULRUHTRA2NR3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterization of the electric field concentration between two adjacent spherical perfect conductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hyeonbae Kang, KiHyun Yun, Mikyoung Lim","submitted_at":"2013-05-04T13:53:57Z","abstract_excerpt":"When two perfectly conducting inclusions are located closely to each other, the electric field concentrates in a narrow region in between two inclusions, and becomes arbitrarily large as the distance between two inclusions tends to zero. The purpose of this paper is to derive an asymptotic formula of the concentration which completely characterizes the singular behavior of the electric field, when inclusions are balls of the same radii in three dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0921","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":""},"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":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cPLDetKpVS873uSJy7XmSffVVPDsrrKeeOu+iq/zjdHMX7NbS0SkgiPmzJv+tC6YmQxuQbIUZicqfX/ISNIKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:44:08.309333Z"},"content_sha256":"12835a2d1a2ec741fd41111823e8b65d0dc4176237b41723ef577d1a8b0a325b","schema_version":"1.0","event_id":"sha256:12835a2d1a2ec741fd41111823e8b65d0dc4176237b41723ef577d1a8b0a325b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/bundle.json","state_url":"https://pith.science/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/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":"2026-05-27T23:44:08Z","links":{"resolver":"https://pith.science/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3","bundle":"https://pith.science/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/bundle.json","state":"https://pith.science/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LE4C3ZA73LA6G3ULRUHTRA2NR3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LE4C3ZA73LA6G3ULRUHTRA2NR3","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":"35698bf07bcc53e0d64e18d13e3187ddfe4fc0ad4b525dc19dffa6c1c798a200","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T13:53:57Z","title_canon_sha256":"32a0861439dc26a0f32b8bcce60fc0f7f31061cf06316e9d15c077ac108ef156"},"schema_version":"1.0","source":{"id":"1305.0921","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0921","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0921v1","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0921","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"LE4C3ZA73LA6","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LE4C3ZA73LA6G3UL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LE4C3ZA7","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:12835a2d1a2ec741fd41111823e8b65d0dc4176237b41723ef577d1a8b0a325b","target":"graph","created_at":"2026-05-18T03:26:31Z","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":"When two perfectly conducting inclusions are located closely to each other, the electric field concentrates in a narrow region in between two inclusions, and becomes arbitrarily large as the distance between two inclusions tends to zero. The purpose of this paper is to derive an asymptotic formula of the concentration which completely characterizes the singular behavior of the electric field, when inclusions are balls of the same radii in three dimensions.","authors_text":"Hyeonbae Kang, KiHyun Yun, Mikyoung Lim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T13:53:57Z","title":"Characterization of the electric field concentration between two adjacent spherical perfect conductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0921","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:eafde7b02a130a1961f96f60a098456d2d9d3a8c76487e134a22d3439c968c9a","target":"record","created_at":"2026-05-18T03:26:31Z","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":"35698bf07bcc53e0d64e18d13e3187ddfe4fc0ad4b525dc19dffa6c1c798a200","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T13:53:57Z","title_canon_sha256":"32a0861439dc26a0f32b8bcce60fc0f7f31061cf06316e9d15c077ac108ef156"},"schema_version":"1.0","source":{"id":"1305.0921","kind":"arxiv","version":1}},"canonical_sha256":"59382de41fdac1e36e8b8d0f38834d8ecb41fa2f57ecf2895e0cf3b7f3417044","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59382de41fdac1e36e8b8d0f38834d8ecb41fa2f57ecf2895e0cf3b7f3417044","first_computed_at":"2026-05-18T03:26:31.283454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:31.283454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G/HQBXOkx9eAXjwzkZlUPfBSg+/U18zF/+RgRv0unA2DAXdREm4pKlSFQjMdw/hkkC+wsv1oN9jMb9T4EHYzAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:31.283987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0921","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eafde7b02a130a1961f96f60a098456d2d9d3a8c76487e134a22d3439c968c9a","sha256:12835a2d1a2ec741fd41111823e8b65d0dc4176237b41723ef577d1a8b0a325b"],"state_sha256":"63850cedc3d088a20b9fe19bb16b012711790837686e8a77d02f3b83b4d28cfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvQ9KAid3BZxDcQyayMh6yJz93HlBLgVpFbx7qDqESiLwc8lxVoYQsTuRR4Zy1nVckcKTkR5Lr1o0BEjVmzoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:44:08.311966Z","bundle_sha256":"ae5b76c80027dc0df6cb52dbbd826b42237427ddc03dc8fa8b66ffef1e832370"}}