{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XKLWGBOR34IHSO7UJA4XXADVOV","short_pith_number":"pith:XKLWGBOR","canonical_record":{"source":{"id":"1504.05262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-20T23:48:18Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"981a4a00bc023062cc71764c03b1a2c7875336c9311271cf0c6668a2c9ba3588","abstract_canon_sha256":"21485476427c4f3637ffa328453e5fe498f72722880eb7318ed3a95a44839d2d"},"schema_version":"1.0"},"canonical_sha256":"ba976305d1df10793bf448397b80757571934e9c3514648cbdb1421419ee6a7b","source":{"kind":"arxiv","id":"1504.05262","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05262","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05262v2","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05262","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"XKLWGBOR34IH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XKLWGBOR34IHSO7U","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XKLWGBOR","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XKLWGBOR34IHSO7UJA4XXADVOV","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-20T23:48:18Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"981a4a00bc023062cc71764c03b1a2c7875336c9311271cf0c6668a2c9ba3588","abstract_canon_sha256":"21485476427c4f3637ffa328453e5fe498f72722880eb7318ed3a95a44839d2d"},"schema_version":"1.0"},"canonical_sha256":"ba976305d1df10793bf448397b80757571934e9c3514648cbdb1421419ee6a7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:03.251205Z","signature_b64":"T7ujLcaF6jlDtoM7XuOpUxVOrd9yKCjLIdVYGzcDOrvm00TstUYIkd9Ha8Si8z0vo9J27URmhl3Rpq/ZjsEeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba976305d1df10793bf448397b80757571934e9c3514648cbdb1421419ee6a7b","last_reissued_at":"2026-05-18T02:18:03.250399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:03.250399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05262","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5fnrFfaI6aXZyhOIZVg1Y+JmG0lMIh3r1k6pkf2WYcy+SUbeGhv7A8ee3d7JCoV0lWNKX2SGncIBwHphP9BaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:23:13.457398Z"},"content_sha256":"400fa8e0d453d56b7d0b4d9774ccbda286931597d53cbc450970cd3b2dd3b35f","schema_version":"1.0","event_id":"sha256:400fa8e0d453d56b7d0b4d9774ccbda286931597d53cbc450970cd3b2dd3b35f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XKLWGBOR34IHSO7UJA4XXADVOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wavelets for Elliptical Waveguide Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.CA","authors_text":"H. M. de Oliveira, M. M. S. Lira, R. J. Cintra, R. M. Campello de Souza","submitted_at":"2015-04-20T23:48:18Z","abstract_excerpt":"New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelets derived by this method have potential application in the fields of optics, microwaves and electromagnetism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05262","kind":"arxiv","version":2},"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":"2026-05-18T02:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pn73mK0C60mMhGpKhx80oegTnuxeyGOCVHXtfO8khF6Llz7MVUtE/Bn97V3xmcvyj21YFxTXXacOJeUh2l6aDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:23:13.457744Z"},"content_sha256":"efba053a10db53e27e8798b2736e853633d065232495cc59e7349ab2d78be28a","schema_version":"1.0","event_id":"sha256:efba053a10db53e27e8798b2736e853633d065232495cc59e7349ab2d78be28a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKLWGBOR34IHSO7UJA4XXADVOV/bundle.json","state_url":"https://pith.science/pith/XKLWGBOR34IHSO7UJA4XXADVOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKLWGBOR34IHSO7UJA4XXADVOV/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":"2026-06-27T07:23:13Z","links":{"resolver":"https://pith.science/pith/XKLWGBOR34IHSO7UJA4XXADVOV","bundle":"https://pith.science/pith/XKLWGBOR34IHSO7UJA4XXADVOV/bundle.json","state":"https://pith.science/pith/XKLWGBOR34IHSO7UJA4XXADVOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKLWGBOR34IHSO7UJA4XXADVOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XKLWGBOR34IHSO7UJA4XXADVOV","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":"21485476427c4f3637ffa328453e5fe498f72722880eb7318ed3a95a44839d2d","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-20T23:48:18Z","title_canon_sha256":"981a4a00bc023062cc71764c03b1a2c7875336c9311271cf0c6668a2c9ba3588"},"schema_version":"1.0","source":{"id":"1504.05262","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05262","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05262v2","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05262","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"XKLWGBOR34IH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XKLWGBOR34IHSO7U","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XKLWGBOR","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:efba053a10db53e27e8798b2736e853633d065232495cc59e7349ab2d78be28a","target":"graph","created_at":"2026-05-18T02:18:03Z","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":"New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelets derived by this method have potential application in the fields of optics, microwaves and electromagnetism.","authors_text":"H. M. de Oliveira, M. M. S. Lira, R. J. Cintra, R. M. Campello de Souza","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-20T23:48:18Z","title":"Wavelets for Elliptical Waveguide Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05262","kind":"arxiv","version":2},"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":"sha256:400fa8e0d453d56b7d0b4d9774ccbda286931597d53cbc450970cd3b2dd3b35f","target":"record","created_at":"2026-05-18T02:18:03Z","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":"21485476427c4f3637ffa328453e5fe498f72722880eb7318ed3a95a44839d2d","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-20T23:48:18Z","title_canon_sha256":"981a4a00bc023062cc71764c03b1a2c7875336c9311271cf0c6668a2c9ba3588"},"schema_version":"1.0","source":{"id":"1504.05262","kind":"arxiv","version":2}},"canonical_sha256":"ba976305d1df10793bf448397b80757571934e9c3514648cbdb1421419ee6a7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba976305d1df10793bf448397b80757571934e9c3514648cbdb1421419ee6a7b","first_computed_at":"2026-05-18T02:18:03.250399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:03.250399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7ujLcaF6jlDtoM7XuOpUxVOrd9yKCjLIdVYGzcDOrvm00TstUYIkd9Ha8Si8z0vo9J27URmhl3Rpq/ZjsEeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:03.251205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05262","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:400fa8e0d453d56b7d0b4d9774ccbda286931597d53cbc450970cd3b2dd3b35f","sha256:efba053a10db53e27e8798b2736e853633d065232495cc59e7349ab2d78be28a"],"state_sha256":"34d9fbec0755e6778e91ff0c304b0cb21e6608256aeaa98019981c984094d330"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"26sPEG2oGq8dzVXgPYe2mU9XhOxIVGZlEWp1eqtvtm7k4RkFxccCZN/IA7sjUqAOE+eBIaZKED1LxNr2D3LsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T07:23:13.459594Z","bundle_sha256":"f26d1192a8a669e6c335386a1c7d886f1276ca2248f48c87c77706f3032d6f74"}}