{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OQYYCKP5R63BFR4T3FYW6HZTE5","short_pith_number":"pith:OQYYCKP5","canonical_record":{"source":{"id":"1603.08118","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T15:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ba708c06679273f6b25502caead547eac25570106d018bbf02b8d378e1f7a561","abstract_canon_sha256":"0d4b49176b357ae42de7c02a4bfdc0f9d4b1b2037b2beb5dd25be54163a918d3"},"schema_version":"1.0"},"canonical_sha256":"74318129fd8fb612c793d9716f1f33274f254cf4748d68521d8da2af14a50281","source":{"kind":"arxiv","id":"1603.08118","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08118","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08118v1","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08118","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"pith_short_12","alias_value":"OQYYCKP5R63B","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OQYYCKP5R63BFR4T","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OQYYCKP5","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OQYYCKP5R63BFR4T3FYW6HZTE5","target":"record","payload":{"canonical_record":{"source":{"id":"1603.08118","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T15:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ba708c06679273f6b25502caead547eac25570106d018bbf02b8d378e1f7a561","abstract_canon_sha256":"0d4b49176b357ae42de7c02a4bfdc0f9d4b1b2037b2beb5dd25be54163a918d3"},"schema_version":"1.0"},"canonical_sha256":"74318129fd8fb612c793d9716f1f33274f254cf4748d68521d8da2af14a50281","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:24.885287Z","signature_b64":"jl+XEoLwtFBH7oQRQwg7Yj0BQWPxDaqNij5glVAxt0SitRdp54PMMwlyTFk0clDZNJoKs9Lk467qFTrTV9mICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74318129fd8fb612c793d9716f1f33274f254cf4748d68521d8da2af14a50281","last_reissued_at":"2026-05-18T00:49:24.884619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:24.884619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.08118","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":"2026-05-18T00:49:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cp0KgU1vhKPzOHQmSisWPkFDdHLrMbQc8O+dPh7zdcy2pM/3fqbow74GR1nKIRDDUJZDwwZpp58woB2bUDMgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:39:04.564408Z"},"content_sha256":"eeb258b8e49cce8ec08903b2ec59c3f951219dfa59b6c0d56864bf03c8b19fe1","schema_version":"1.0","event_id":"sha256:eeb258b8e49cce8ec08903b2ec59c3f951219dfa59b6c0d56864bf03c8b19fe1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OQYYCKP5R63BFR4T3FYW6HZTE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nearly non-scattering electromagnetic wave set and its application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Hongyu Liu, Shuhui Zhong, Yuliang Wang","submitted_at":"2016-03-26T15:35:02Z","abstract_excerpt":"For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous medium is coated with a layer of properly chosen conducting medium, then the wave set is generated from the Maxwell-Herglotz approximation to the interior PEC or PMC eigenfunctions and depends only on the shape of the inhomogeneous medium. If no such a conducting coating is used, then the wave set is generated from the Maxwell-Herglotz approximation to the ge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08118","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":"2026-05-18T00:49:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4s06ZeZlMEuMGNBUCrPk6RYOUYL7jMAO0A+g8oOajyyLOiEptxBMIc8apwMDkD8x5n1i/K0WcdSUk803Z159Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:39:04.564812Z"},"content_sha256":"a2dfb4bb1445b7c26d5c640934087600d512ab3220cd246c98fc04b6f9fdfb76","schema_version":"1.0","event_id":"sha256:a2dfb4bb1445b7c26d5c640934087600d512ab3220cd246c98fc04b6f9fdfb76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/bundle.json","state_url":"https://pith.science/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/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":"2026-05-29T18:39:04Z","links":{"resolver":"https://pith.science/pith/OQYYCKP5R63BFR4T3FYW6HZTE5","bundle":"https://pith.science/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/bundle.json","state":"https://pith.science/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OQYYCKP5R63BFR4T3FYW6HZTE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OQYYCKP5R63BFR4T3FYW6HZTE5","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":"0d4b49176b357ae42de7c02a4bfdc0f9d4b1b2037b2beb5dd25be54163a918d3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T15:35:02Z","title_canon_sha256":"ba708c06679273f6b25502caead547eac25570106d018bbf02b8d378e1f7a561"},"schema_version":"1.0","source":{"id":"1603.08118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08118","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08118v1","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08118","created_at":"2026-05-18T00:49:24Z"},{"alias_kind":"pith_short_12","alias_value":"OQYYCKP5R63B","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OQYYCKP5R63BFR4T","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OQYYCKP5","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:a2dfb4bb1445b7c26d5c640934087600d512ab3220cd246c98fc04b6f9fdfb76","target":"graph","created_at":"2026-05-18T00:49:24Z","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":"For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate nearly vanishing scattered wave fields. If the inhomogeneous medium is coated with a layer of properly chosen conducting medium, then the wave set is generated from the Maxwell-Herglotz approximation to the interior PEC or PMC eigenfunctions and depends only on the shape of the inhomogeneous medium. If no such a conducting coating is used, then the wave set is generated from the Maxwell-Herglotz approximation to the ge","authors_text":"Hongyu Liu, Shuhui Zhong, Yuliang Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T15:35:02Z","title":"Nearly non-scattering electromagnetic wave set and its application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08118","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:eeb258b8e49cce8ec08903b2ec59c3f951219dfa59b6c0d56864bf03c8b19fe1","target":"record","created_at":"2026-05-18T00:49:24Z","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":"0d4b49176b357ae42de7c02a4bfdc0f9d4b1b2037b2beb5dd25be54163a918d3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T15:35:02Z","title_canon_sha256":"ba708c06679273f6b25502caead547eac25570106d018bbf02b8d378e1f7a561"},"schema_version":"1.0","source":{"id":"1603.08118","kind":"arxiv","version":1}},"canonical_sha256":"74318129fd8fb612c793d9716f1f33274f254cf4748d68521d8da2af14a50281","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74318129fd8fb612c793d9716f1f33274f254cf4748d68521d8da2af14a50281","first_computed_at":"2026-05-18T00:49:24.884619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:24.884619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jl+XEoLwtFBH7oQRQwg7Yj0BQWPxDaqNij5glVAxt0SitRdp54PMMwlyTFk0clDZNJoKs9Lk467qFTrTV9mICg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:24.885287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeb258b8e49cce8ec08903b2ec59c3f951219dfa59b6c0d56864bf03c8b19fe1","sha256:a2dfb4bb1445b7c26d5c640934087600d512ab3220cd246c98fc04b6f9fdfb76"],"state_sha256":"055dbf901ea070778a9f90d0344da2b74e2152b654fbc0a54e9f426d3571fb47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hO/gOvXPAWQ/at65iM1UzbWHfPQM4i2fF3bjZReKSVuFcVxTP/+owoHMul8uJKv0eJzXcL949AxtAftU0RTJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T18:39:04.567206Z","bundle_sha256":"c63ae6beb80ece729daa968f14d2760237f5a1be205aa3e79a61332aefe526b0"}}