{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6O66DAIWRS66EZWJACLRDGNVVU","short_pith_number":"pith:6O66DAIW","canonical_record":{"source":{"id":"1905.10562","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-25T09:23:45Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"3f6921d1268b9fc4d386f6f6160d3b43f32cc131421b17459a8e685b34029b6e","abstract_canon_sha256":"7b5ad2187d652f5b6ec58b2d66ffb9b10adf5417715b93d53e877cdb6d97fdd5"},"schema_version":"1.0"},"canonical_sha256":"f3bde181168cbde266c900971199b5ad029b6f9aecc332691a29ac65c9c29d68","source":{"kind":"arxiv","id":"1905.10562","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10562","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10562v1","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10562","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_12","alias_value":"6O66DAIWRS66","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_16","alias_value":"6O66DAIWRS66EZWJ","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_8","alias_value":"6O66DAIW","created_at":"2026-06-04T20:14:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6O66DAIWRS66EZWJACLRDGNVVU","target":"record","payload":{"canonical_record":{"source":{"id":"1905.10562","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-25T09:23:45Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"3f6921d1268b9fc4d386f6f6160d3b43f32cc131421b17459a8e685b34029b6e","abstract_canon_sha256":"7b5ad2187d652f5b6ec58b2d66ffb9b10adf5417715b93d53e877cdb6d97fdd5"},"schema_version":"1.0"},"canonical_sha256":"f3bde181168cbde266c900971199b5ad029b6f9aecc332691a29ac65c9c29d68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:14:32.994145Z","signature_b64":"q5vosX+XvIREMKOQyIDfDtKkGSUzk9XPFcKrMoFbhvpsNo9FlEZMMK9MzoL3f+kKfA2pIxCvFhHnU75Jsj+iAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3bde181168cbde266c900971199b5ad029b6f9aecc332691a29ac65c9c29d68","last_reissued_at":"2026-06-04T20:14:32.993689Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:14:32.993689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.10562","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":"2026-06-04T20:14:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ekj9f0xGW7fpkgvSAGxi+yf6DFm6CKsYaiDio9rILDtCX5Q/w0S9Q8gruqtI2SQAPs9p0mtdqsn8lGkX/eULAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:11:28.906839Z"},"content_sha256":"799e827776858243993d0d2bd997cf9bf5221f53af8c03a838c0ff97013a46ad","schema_version":"1.0","event_id":"sha256:799e827776858243993d0d2bd997cf9bf5221f53af8c03a838c0ff97013a46ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6O66DAIWRS66EZWJACLRDGNVVU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical methods for perfect wedge diffraction: a review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"I. David Abrahams, Matthew A. Nethercote, Raphael C. Assier","submitted_at":"2019-05-25T09:23:45Z","abstract_excerpt":"The subject of diffraction of waves by sharp boundaries has been studied intensively for well over a century, initiated by groundbreaking mathematicians and physicists including Sommerfeld, Macdonald and Poincar\\'e. The significance of such canonical diffraction models, and their analytical solutions, was recognised much more broadly thanks to Keller, who introduced a geometrical theory of diffraction (GTD) in the middle of the last century, and other important mathematicians such as Fock and Babich. This has led to a very wide variety of approaches to be developed in order to tackle such two "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10562","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.10562/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-04T20:14:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MrnSwmRrYwe95BEPSZQlwARQeSmBSRoxqD16uO09YIYh4+RSs9GNKZe241wYtpeeEXc9FROQDj5ZfkUBSzPPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:11:28.907217Z"},"content_sha256":"4b3a009fc3f148c0824ac8cea8da6f0fadf2bd0042ea8d18e7839524b0fd4d9c","schema_version":"1.0","event_id":"sha256:4b3a009fc3f148c0824ac8cea8da6f0fadf2bd0042ea8d18e7839524b0fd4d9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6O66DAIWRS66EZWJACLRDGNVVU/bundle.json","state_url":"https://pith.science/pith/6O66DAIWRS66EZWJACLRDGNVVU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6O66DAIWRS66EZWJACLRDGNVVU/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":"2026-06-24T06:11:28Z","links":{"resolver":"https://pith.science/pith/6O66DAIWRS66EZWJACLRDGNVVU","bundle":"https://pith.science/pith/6O66DAIWRS66EZWJACLRDGNVVU/bundle.json","state":"https://pith.science/pith/6O66DAIWRS66EZWJACLRDGNVVU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6O66DAIWRS66EZWJACLRDGNVVU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6O66DAIWRS66EZWJACLRDGNVVU","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":"7b5ad2187d652f5b6ec58b2d66ffb9b10adf5417715b93d53e877cdb6d97fdd5","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-25T09:23:45Z","title_canon_sha256":"3f6921d1268b9fc4d386f6f6160d3b43f32cc131421b17459a8e685b34029b6e"},"schema_version":"1.0","source":{"id":"1905.10562","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10562","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10562v1","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10562","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_12","alias_value":"6O66DAIWRS66","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_16","alias_value":"6O66DAIWRS66EZWJ","created_at":"2026-06-04T20:14:32Z"},{"alias_kind":"pith_short_8","alias_value":"6O66DAIW","created_at":"2026-06-04T20:14:32Z"}],"graph_snapshots":[{"event_id":"sha256:4b3a009fc3f148c0824ac8cea8da6f0fadf2bd0042ea8d18e7839524b0fd4d9c","target":"graph","created_at":"2026-06-04T20:14:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1905.10562/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The subject of diffraction of waves by sharp boundaries has been studied intensively for well over a century, initiated by groundbreaking mathematicians and physicists including Sommerfeld, Macdonald and Poincar\\'e. The significance of such canonical diffraction models, and their analytical solutions, was recognised much more broadly thanks to Keller, who introduced a geometrical theory of diffraction (GTD) in the middle of the last century, and other important mathematicians such as Fock and Babich. This has led to a very wide variety of approaches to be developed in order to tackle such two ","authors_text":"I. David Abrahams, Matthew A. Nethercote, Raphael C. Assier","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-25T09:23:45Z","title":"Analytical methods for perfect wedge diffraction: a review"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10562","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":"sha256:799e827776858243993d0d2bd997cf9bf5221f53af8c03a838c0ff97013a46ad","target":"record","created_at":"2026-06-04T20:14:32Z","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":"7b5ad2187d652f5b6ec58b2d66ffb9b10adf5417715b93d53e877cdb6d97fdd5","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-05-25T09:23:45Z","title_canon_sha256":"3f6921d1268b9fc4d386f6f6160d3b43f32cc131421b17459a8e685b34029b6e"},"schema_version":"1.0","source":{"id":"1905.10562","kind":"arxiv","version":1}},"canonical_sha256":"f3bde181168cbde266c900971199b5ad029b6f9aecc332691a29ac65c9c29d68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3bde181168cbde266c900971199b5ad029b6f9aecc332691a29ac65c9c29d68","first_computed_at":"2026-06-04T20:14:32.993689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:14:32.993689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q5vosX+XvIREMKOQyIDfDtKkGSUzk9XPFcKrMoFbhvpsNo9FlEZMMK9MzoL3f+kKfA2pIxCvFhHnU75Jsj+iAA==","signature_status":"signed_v1","signed_at":"2026-06-04T20:14:32.994145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10562","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:799e827776858243993d0d2bd997cf9bf5221f53af8c03a838c0ff97013a46ad","sha256:4b3a009fc3f148c0824ac8cea8da6f0fadf2bd0042ea8d18e7839524b0fd4d9c"],"state_sha256":"e37846f5fabd8099046f1544bdd9a5f3eb6882b3f39f288d2d32c91cb02ad809"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"puaW/BQckpBTeZDYQOOLw60WJW6koQq+Bt9i2xvBn/z+TCBprL57E7i9Qlmr3qTZQcInN8WCCx26tKrcGk+yBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:11:28.909508Z","bundle_sha256":"348966e89eb71e4c9d02ef48dadf4613161bbeabeb0ad05b2458d01cd46c76e9"}}