{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:U4NPSYA3VLDUBQDC52IVYFA2BE","short_pith_number":"pith:U4NPSYA3","canonical_record":{"source":{"id":"0805.3902","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-05-26T09:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"43911b6c9c016e6c0be2c5e8530e587df04f83a361cb13dd9a399a2110ffd3f9","abstract_canon_sha256":"4c901db40600aad4dae73cbc2c825ad57998164cdab931a86487c2223bb0e7cf"},"schema_version":"1.0"},"canonical_sha256":"a71af9601baac740c062ee915c141a0903bd19d4e09d2e313363a9fab785336c","source":{"kind":"arxiv","id":"0805.3902","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3902","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3902v3","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3902","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"U4NPSYA3VLDU","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_16","alias_value":"U4NPSYA3VLDUBQDC","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_8","alias_value":"U4NPSYA3","created_at":"2026-07-05T03:58:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:U4NPSYA3VLDUBQDC52IVYFA2BE","target":"record","payload":{"canonical_record":{"source":{"id":"0805.3902","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-05-26T09:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"43911b6c9c016e6c0be2c5e8530e587df04f83a361cb13dd9a399a2110ffd3f9","abstract_canon_sha256":"4c901db40600aad4dae73cbc2c825ad57998164cdab931a86487c2223bb0e7cf"},"schema_version":"1.0"},"canonical_sha256":"a71af9601baac740c062ee915c141a0903bd19d4e09d2e313363a9fab785336c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:58:11.701393Z","signature_b64":"Kj2AjGR2o+F5inR6HHjkAY+jJJHUTjFrGd//OpoeyNBcKRKdsG6nwz6IY4fHzsqsE8NRTkrl6i12Jynzr+wBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a71af9601baac740c062ee915c141a0903bd19d4e09d2e313363a9fab785336c","last_reissued_at":"2026-07-05T03:58:11.700979Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:58:11.700979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.3902","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7Cs5w67pD0GfBavFfBsRIf8cMS6flh05ksXEA4wujNUsW+UgtnjA227gvmGUD4jIG616ySj6oh5PuXB21VYBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:08:01.457928Z"},"content_sha256":"75599ad2a5b2bca05c83732c93754c4e36c3f93921273a579beaebe365094be0","schema_version":"1.0","event_id":"sha256:75599ad2a5b2bca05c83732c93754c4e36c3f93921273a579beaebe365094be0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:U4NPSYA3VLDUBQDC52IVYFA2BE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Truncated Wiener-Hopf operators with Fisher Hartwig singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"K. K. Kozlowski","submitted_at":"2008-05-26T09:20:29Z","abstract_excerpt":"We derive the asymptotic behavior of determinants of truncated Wiener-Hopf operators generated by symbols having Fisher-Hartwig singularities. This task is achieved thanks to an asymptotic resolution of the Riemann-Hilbert problem associated to some generalized sine kernel. As a byproduct, we give yet another derivation of the asymptotic behavior of Toeplitz determinants having Fisher-Hartwig singularities. The Riemann-Hilbert problem approach to these asymptotics yields a systematic although quickly cumbersome way to compute their sub-leading asymptotics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3902","kind":"arxiv","version":3},"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/0805.3902/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":"2026-07-05T03:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShnJqWHyiqSw7OnK2hHvuBmvyxH9birYNhT6KQyYG5rpV8yrxtpaZI3pcp0sYHHZ0mawLul1WFvnH1bOkD2XDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:08:01.458367Z"},"content_sha256":"e563b061d2594d3ee8a3ae18588790d8575c3788aebc34a2d0e2aca35cb88fdd","schema_version":"1.0","event_id":"sha256:e563b061d2594d3ee8a3ae18588790d8575c3788aebc34a2d0e2aca35cb88fdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/bundle.json","state_url":"https://pith.science/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/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":"2026-07-06T11:08:01Z","links":{"resolver":"https://pith.science/pith/U4NPSYA3VLDUBQDC52IVYFA2BE","bundle":"https://pith.science/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/bundle.json","state":"https://pith.science/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4NPSYA3VLDUBQDC52IVYFA2BE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:U4NPSYA3VLDUBQDC52IVYFA2BE","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":"4c901db40600aad4dae73cbc2c825ad57998164cdab931a86487c2223bb0e7cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-05-26T09:20:29Z","title_canon_sha256":"43911b6c9c016e6c0be2c5e8530e587df04f83a361cb13dd9a399a2110ffd3f9"},"schema_version":"1.0","source":{"id":"0805.3902","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3902","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3902v3","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3902","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"U4NPSYA3VLDU","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_16","alias_value":"U4NPSYA3VLDUBQDC","created_at":"2026-07-05T03:58:11Z"},{"alias_kind":"pith_short_8","alias_value":"U4NPSYA3","created_at":"2026-07-05T03:58:11Z"}],"graph_snapshots":[{"event_id":"sha256:e563b061d2594d3ee8a3ae18588790d8575c3788aebc34a2d0e2aca35cb88fdd","target":"graph","created_at":"2026-07-05T03:58:11Z","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/0805.3902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the asymptotic behavior of determinants of truncated Wiener-Hopf operators generated by symbols having Fisher-Hartwig singularities. This task is achieved thanks to an asymptotic resolution of the Riemann-Hilbert problem associated to some generalized sine kernel. As a byproduct, we give yet another derivation of the asymptotic behavior of Toeplitz determinants having Fisher-Hartwig singularities. The Riemann-Hilbert problem approach to these asymptotics yields a systematic although quickly cumbersome way to compute their sub-leading asymptotics.","authors_text":"K. K. Kozlowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-05-26T09:20:29Z","title":"Truncated Wiener-Hopf operators with Fisher Hartwig singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3902","kind":"arxiv","version":3},"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":"sha256:75599ad2a5b2bca05c83732c93754c4e36c3f93921273a579beaebe365094be0","target":"record","created_at":"2026-07-05T03:58:11Z","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":"4c901db40600aad4dae73cbc2c825ad57998164cdab931a86487c2223bb0e7cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2008-05-26T09:20:29Z","title_canon_sha256":"43911b6c9c016e6c0be2c5e8530e587df04f83a361cb13dd9a399a2110ffd3f9"},"schema_version":"1.0","source":{"id":"0805.3902","kind":"arxiv","version":3}},"canonical_sha256":"a71af9601baac740c062ee915c141a0903bd19d4e09d2e313363a9fab785336c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a71af9601baac740c062ee915c141a0903bd19d4e09d2e313363a9fab785336c","first_computed_at":"2026-07-05T03:58:11.700979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:58:11.700979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kj2AjGR2o+F5inR6HHjkAY+jJJHUTjFrGd//OpoeyNBcKRKdsG6nwz6IY4fHzsqsE8NRTkrl6i12Jynzr+wBCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:58:11.701393Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.3902","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75599ad2a5b2bca05c83732c93754c4e36c3f93921273a579beaebe365094be0","sha256:e563b061d2594d3ee8a3ae18588790d8575c3788aebc34a2d0e2aca35cb88fdd"],"state_sha256":"0c9b0540e1e7b5c8aa321f8588a550138f7eee51c121e97f8bda3e2b1118f686"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+U4+CplVvSq3bcxVYywPT2Z9dJzd8QK4goYI/cOuMHrWPvd+AaBozjqukpZggJY6Jrq+rh+yCPasx0e59X7aCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T11:08:01.460301Z","bundle_sha256":"363ef2b915ecb3e7656eaab8be29c886ad91df81a9807d04c6c3803d3d596cd4"}}