{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZK4JM7R53EDKS7SW5UK2CGSIAG","short_pith_number":"pith:ZK4JM7R5","canonical_record":{"source":{"id":"1605.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-03T01:44:39Z","cross_cats_sorted":[],"title_canon_sha256":"e131cc0f4e0233c2a6d0085b3c2760f56db5d5385f08667915d3cdd0a78aa66c","abstract_canon_sha256":"ca8a310a1514e1726527b2c6f7fd0679a3bbe07408914f217663339f7e68fd27"},"schema_version":"1.0"},"canonical_sha256":"cab8967e3dd906a97e56ed15a11a4801b1b6df9a506cf2da94b7402ebaf80e75","source":{"kind":"arxiv","id":"1605.00727","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00727","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00727v1","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00727","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZK4JM7R53EDK","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZK4JM7R53EDKS7SW","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZK4JM7R5","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZK4JM7R53EDKS7SW5UK2CGSIAG","target":"record","payload":{"canonical_record":{"source":{"id":"1605.00727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-03T01:44:39Z","cross_cats_sorted":[],"title_canon_sha256":"e131cc0f4e0233c2a6d0085b3c2760f56db5d5385f08667915d3cdd0a78aa66c","abstract_canon_sha256":"ca8a310a1514e1726527b2c6f7fd0679a3bbe07408914f217663339f7e68fd27"},"schema_version":"1.0"},"canonical_sha256":"cab8967e3dd906a97e56ed15a11a4801b1b6df9a506cf2da94b7402ebaf80e75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:17.330941Z","signature_b64":"e6RDkf/Mpa3uqhEafONCFeegWL+1cUtWdWj5/xyLPyuzrx1T0BvW/udEx0WW8nufHJ3scgIBte47NJSbQVkJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cab8967e3dd906a97e56ed15a11a4801b1b6df9a506cf2da94b7402ebaf80e75","last_reissued_at":"2026-05-18T01:08:17.330277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:17.330277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.00727","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":"2026-05-18T01:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkT8tQOYWbPJgt6VE7/yY3/4Sns+QZ9VpkrtsDBpCktGIkkVJQGQPawsFDeO/71JLjcsgrCft4hVGRJYgmO7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:29:56.948245Z"},"content_sha256":"ff187a759d7249e7d701f9171fd223efcc02b431b9225eab616f0485353a7bd9","schema_version":"1.0","event_id":"sha256:ff187a759d7249e7d701f9171fd223efcc02b431b9225eab616f0485353a7bd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZK4JM7R53EDKS7SW5UK2CGSIAG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A spectral projection method for transmission eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fang Zeng, Jiguang Sun, Liwei Xu","submitted_at":"2016-05-03T01:44:39Z","abstract_excerpt":"In this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory. The boundary element method is employed for discretization, which leads to a generalized matrix eigenvalue problem. We propose a novel method based on the spectral projection. The method probes a given region on the complex plane using contour integrals and decides if the region contains eigenvalue(s) or not. It is particularly suitable to test if zero is an eigenvalue of the generalized eigenvalue problem, which in turn i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00727","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":"2026-05-18T01:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m6WDfZhiK/ItaH/lnHRNYvp3KjS5m8dIDjkPteI2RLdyQkaV3QjoH+IHcwahwWguy+cr7v50xni1LZ84taITDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:29:56.948603Z"},"content_sha256":"358c15e5eaa2a68e37c46ed69f8e08a31886509a1752428991a0e95a50df42a1","schema_version":"1.0","event_id":"sha256:358c15e5eaa2a68e37c46ed69f8e08a31886509a1752428991a0e95a50df42a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/bundle.json","state_url":"https://pith.science/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/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":"2026-05-28T01:29:56Z","links":{"resolver":"https://pith.science/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG","bundle":"https://pith.science/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/bundle.json","state":"https://pith.science/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZK4JM7R53EDKS7SW5UK2CGSIAG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZK4JM7R53EDKS7SW5UK2CGSIAG","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":"ca8a310a1514e1726527b2c6f7fd0679a3bbe07408914f217663339f7e68fd27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-03T01:44:39Z","title_canon_sha256":"e131cc0f4e0233c2a6d0085b3c2760f56db5d5385f08667915d3cdd0a78aa66c"},"schema_version":"1.0","source":{"id":"1605.00727","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00727","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00727v1","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00727","created_at":"2026-05-18T01:08:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZK4JM7R53EDK","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZK4JM7R53EDKS7SW","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZK4JM7R5","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:358c15e5eaa2a68e37c46ed69f8e08a31886509a1752428991a0e95a50df42a1","target":"graph","created_at":"2026-05-18T01:08:17Z","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 this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory. The boundary element method is employed for discretization, which leads to a generalized matrix eigenvalue problem. We propose a novel method based on the spectral projection. The method probes a given region on the complex plane using contour integrals and decides if the region contains eigenvalue(s) or not. It is particularly suitable to test if zero is an eigenvalue of the generalized eigenvalue problem, which in turn i","authors_text":"Fang Zeng, Jiguang Sun, Liwei Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-03T01:44:39Z","title":"A spectral projection method for transmission eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00727","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:ff187a759d7249e7d701f9171fd223efcc02b431b9225eab616f0485353a7bd9","target":"record","created_at":"2026-05-18T01:08:17Z","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":"ca8a310a1514e1726527b2c6f7fd0679a3bbe07408914f217663339f7e68fd27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-03T01:44:39Z","title_canon_sha256":"e131cc0f4e0233c2a6d0085b3c2760f56db5d5385f08667915d3cdd0a78aa66c"},"schema_version":"1.0","source":{"id":"1605.00727","kind":"arxiv","version":1}},"canonical_sha256":"cab8967e3dd906a97e56ed15a11a4801b1b6df9a506cf2da94b7402ebaf80e75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cab8967e3dd906a97e56ed15a11a4801b1b6df9a506cf2da94b7402ebaf80e75","first_computed_at":"2026-05-18T01:08:17.330277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:17.330277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e6RDkf/Mpa3uqhEafONCFeegWL+1cUtWdWj5/xyLPyuzrx1T0BvW/udEx0WW8nufHJ3scgIBte47NJSbQVkJDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:17.330941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00727","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff187a759d7249e7d701f9171fd223efcc02b431b9225eab616f0485353a7bd9","sha256:358c15e5eaa2a68e37c46ed69f8e08a31886509a1752428991a0e95a50df42a1"],"state_sha256":"8bb63ae3aab4464c84cb22c67111dd26b2fe8dc12585a1901f28b24b39bc839f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iHVO77fQ9cnJnHqdDtCdxo5dtWg3CcNDDwCxU08maVvRXidIZLbCEmm3Qk5cvGjISHoTk9eQONxRMqLJyRGQAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:29:56.950502Z","bundle_sha256":"c776a260567752a7361279fcb86e885c824c3d265a1c32225c0e25d53f4316bc"}}