{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:R7ZSCSUDVTCLTOD62T3OKCQIUS","short_pith_number":"pith:R7ZSCSUD","canonical_record":{"source":{"id":"1501.02952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-13T11:00:39Z","cross_cats_sorted":[],"title_canon_sha256":"8e2bf14733bfd4e3bb76583294d2e159d983475e04eed15d1aeef37367bca5eb","abstract_canon_sha256":"c61e3c22719871fc3a6ffd62742c1339dbea21470102b29db2f39298c3469af8"},"schema_version":"1.0"},"canonical_sha256":"8ff3214a83acc4b9b87ed4f6e50a08a4887f8325479fb0fabf48543c781ae01c","source":{"kind":"arxiv","id":"1501.02952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02952","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02952v1","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02952","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"pith_short_12","alias_value":"R7ZSCSUDVTCL","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7ZSCSUDVTCLTOD6","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7ZSCSUD","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:R7ZSCSUDVTCLTOD62T3OKCQIUS","target":"record","payload":{"canonical_record":{"source":{"id":"1501.02952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-13T11:00:39Z","cross_cats_sorted":[],"title_canon_sha256":"8e2bf14733bfd4e3bb76583294d2e159d983475e04eed15d1aeef37367bca5eb","abstract_canon_sha256":"c61e3c22719871fc3a6ffd62742c1339dbea21470102b29db2f39298c3469af8"},"schema_version":"1.0"},"canonical_sha256":"8ff3214a83acc4b9b87ed4f6e50a08a4887f8325479fb0fabf48543c781ae01c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:30.843865Z","signature_b64":"jpwckEhcKQjhz9CgTwGD9hFfScYyx69YzvKJ8WXYllzxOHvuQuqZoMJzfaEoJVC5l/rp/yQ2RJVn7iIuoeryAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ff3214a83acc4b9b87ed4f6e50a08a4887f8325479fb0fabf48543c781ae01c","last_reissued_at":"2026-05-18T02:29:30.843399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:30.843399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.02952","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":"2026-05-18T02:29:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fhw58RWLKIHkKUr6ZEUvYc7uRjyGl+ckfplemObfyGJ9IBhhzLIRDh6h75ctMJBvUFCMxySjXFgT2+0oCSBlBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:33:31.377677Z"},"content_sha256":"8b5131f09269f48e412ad803f910d9f4ee01de5668054582bab500eb1a9c4186","schema_version":"1.0","event_id":"sha256:8b5131f09269f48e412ad803f910d9f4ee01de5668054582bab500eb1a9c4186"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:R7ZSCSUDVTCLTOD62T3OKCQIUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral resolution of the Neumann-Poincar\\'{e} operator on intersecting disks and analysis of plasmon resonance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hyeonbae Kang, Mikyoung Lim, Sanghyeon Yu","submitted_at":"2015-01-13T11:00:39Z","abstract_excerpt":"The purpose of this paper is to investigate the spectral nature of the Neumann-Poincar\\'e operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows in particular that it admits only the absolutely continuous spectrum, no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution the plasmon resonance at the absolutely continuous spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02952","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":"2026-05-18T02:29:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6M19LQmAsPO8Q+c9mMwTeqK4KsV4QAOoZ2B3waEqRBozYKSYYbztvBl4VFdDwDqqvceo8tw3CSjMjneVjOuFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:33:31.378363Z"},"content_sha256":"4df5cf90f38fb4dfee6221ad726841813ea4abefd5f025653142d7bd1e4afb03","schema_version":"1.0","event_id":"sha256:4df5cf90f38fb4dfee6221ad726841813ea4abefd5f025653142d7bd1e4afb03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/bundle.json","state_url":"https://pith.science/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/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":"2026-05-27T05:33:31Z","links":{"resolver":"https://pith.science/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS","bundle":"https://pith.science/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/bundle.json","state":"https://pith.science/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7ZSCSUDVTCLTOD62T3OKCQIUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R7ZSCSUDVTCLTOD62T3OKCQIUS","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":"c61e3c22719871fc3a6ffd62742c1339dbea21470102b29db2f39298c3469af8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-13T11:00:39Z","title_canon_sha256":"8e2bf14733bfd4e3bb76583294d2e159d983475e04eed15d1aeef37367bca5eb"},"schema_version":"1.0","source":{"id":"1501.02952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02952","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02952v1","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02952","created_at":"2026-05-18T02:29:30Z"},{"alias_kind":"pith_short_12","alias_value":"R7ZSCSUDVTCL","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7ZSCSUDVTCLTOD6","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7ZSCSUD","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:4df5cf90f38fb4dfee6221ad726841813ea4abefd5f025653142d7bd1e4afb03","target":"graph","created_at":"2026-05-18T02:29:30Z","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":"The purpose of this paper is to investigate the spectral nature of the Neumann-Poincar\\'e operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows in particular that it admits only the absolutely continuous spectrum, no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution the plasmon resonance at the absolutely continuous spectrum.","authors_text":"Hyeonbae Kang, Mikyoung Lim, Sanghyeon Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-13T11:00:39Z","title":"Spectral resolution of the Neumann-Poincar\\'{e} operator on intersecting disks and analysis of plasmon resonance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02952","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":"sha256:8b5131f09269f48e412ad803f910d9f4ee01de5668054582bab500eb1a9c4186","target":"record","created_at":"2026-05-18T02:29:30Z","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":"c61e3c22719871fc3a6ffd62742c1339dbea21470102b29db2f39298c3469af8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-13T11:00:39Z","title_canon_sha256":"8e2bf14733bfd4e3bb76583294d2e159d983475e04eed15d1aeef37367bca5eb"},"schema_version":"1.0","source":{"id":"1501.02952","kind":"arxiv","version":1}},"canonical_sha256":"8ff3214a83acc4b9b87ed4f6e50a08a4887f8325479fb0fabf48543c781ae01c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ff3214a83acc4b9b87ed4f6e50a08a4887f8325479fb0fabf48543c781ae01c","first_computed_at":"2026-05-18T02:29:30.843399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:30.843399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jpwckEhcKQjhz9CgTwGD9hFfScYyx69YzvKJ8WXYllzxOHvuQuqZoMJzfaEoJVC5l/rp/yQ2RJVn7iIuoeryAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:30.843865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b5131f09269f48e412ad803f910d9f4ee01de5668054582bab500eb1a9c4186","sha256:4df5cf90f38fb4dfee6221ad726841813ea4abefd5f025653142d7bd1e4afb03"],"state_sha256":"54aad25b7c772cc1b38c35608f1767b04d4f2eb9c50a1c3394bd6d2cadf91dc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNqaN3ghertTk8nvaUbN8KT237y1ZQRQKQKZTsbPL/b25aMEDyQgoRpv27YyuZj9IzEY/KNNtDkYtr3S13WBBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:33:31.381636Z","bundle_sha256":"53b91652a6a433158d2c647a21af8ddb74cb12be0d7ff175e20e6fc130f5c038"}}