{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WJ4IBNXLFALIWZK6D3DX24JY3E","short_pith_number":"pith:WJ4IBNXL","canonical_record":{"source":{"id":"1503.01760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-03-05T20:37:08Z","cross_cats_sorted":[],"title_canon_sha256":"ea92c00f68d11d78da9bfa6704c3d8568c578a09f5af493ea76a9e2d84958266","abstract_canon_sha256":"8e6229248cae57db6e645921f8d3ca37838c129070fd2c89b53f475b8d3ecae6"},"schema_version":"1.0"},"canonical_sha256":"b27880b6eb28168b655e1ec77d7138d9165a2f422b501f1738883b75930dd1df","source":{"kind":"arxiv","id":"1503.01760","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01760","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01760v1","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01760","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"pith_short_12","alias_value":"WJ4IBNXLFALI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WJ4IBNXLFALIWZK6","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WJ4IBNXL","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WJ4IBNXLFALIWZK6D3DX24JY3E","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-03-05T20:37:08Z","cross_cats_sorted":[],"title_canon_sha256":"ea92c00f68d11d78da9bfa6704c3d8568c578a09f5af493ea76a9e2d84958266","abstract_canon_sha256":"8e6229248cae57db6e645921f8d3ca37838c129070fd2c89b53f475b8d3ecae6"},"schema_version":"1.0"},"canonical_sha256":"b27880b6eb28168b655e1ec77d7138d9165a2f422b501f1738883b75930dd1df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:33.004440Z","signature_b64":"HCOdIi8PZd1GQSqtdDwDFCjeTg6xD8swLSSzecamD6bVz3esNFeHbuaNmAzdk4KrfIal48yyyvOtLqFa0Av4DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b27880b6eb28168b655e1ec77d7138d9165a2f422b501f1738883b75930dd1df","last_reissued_at":"2026-05-18T02:25:33.003999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:33.003999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01760","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":"2026-05-18T02:25:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XRapFJsX5cCJVZmXPtKp9/QRPKHw+4sxDKWlKIIMd9o2GRt/AMo8sHuLeknngpRxBzR/chAPHUtZqdtuFDMmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:49:07.816589Z"},"content_sha256":"7c76c110fe5212e6dc04fe9c12a48a2ab1e8c358cc8d68422acf822135c71ea6","schema_version":"1.0","event_id":"sha256:7c76c110fe5212e6dc04fe9c12a48a2ab1e8c358cc8d68422acf822135c71ea6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WJ4IBNXLFALIWZK6D3DX24JY3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irregularity of the Szeg\\\"o Projection on Bounded Pseudoconvex Domains in $\\mathbb{C}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Samangi Munasinghe, Yunus E. Zeytuncu","submitted_at":"2015-03-05T20:37:08Z","abstract_excerpt":"We construct bounded pseudoconvex domains in $\\mathbb{C}^2$ for which the Szeg\\\"o projection operators are unbounded on $L^p$ spaces of the boundary for all $p\\not =2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01760","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":"2026-05-18T02:25:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oQPjTLTQOYrjGvPMsvhXE49FjCkf+fPeYNgV7sJYcoS+xRsdlSng1Fr7qbsqdf0KmUHcRv0gN/VSVOGkIKIGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:49:07.816929Z"},"content_sha256":"518906715a48947d4cb5b6b2e741fe95e64b41952fe06baa0fd6b72ed6e4cbdf","schema_version":"1.0","event_id":"sha256:518906715a48947d4cb5b6b2e741fe95e64b41952fe06baa0fd6b72ed6e4cbdf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/bundle.json","state_url":"https://pith.science/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/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":"2026-06-22T11:49:07Z","links":{"resolver":"https://pith.science/pith/WJ4IBNXLFALIWZK6D3DX24JY3E","bundle":"https://pith.science/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/bundle.json","state":"https://pith.science/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJ4IBNXLFALIWZK6D3DX24JY3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WJ4IBNXLFALIWZK6D3DX24JY3E","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":"8e6229248cae57db6e645921f8d3ca37838c129070fd2c89b53f475b8d3ecae6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-03-05T20:37:08Z","title_canon_sha256":"ea92c00f68d11d78da9bfa6704c3d8568c578a09f5af493ea76a9e2d84958266"},"schema_version":"1.0","source":{"id":"1503.01760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01760","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01760v1","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01760","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"pith_short_12","alias_value":"WJ4IBNXLFALI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WJ4IBNXLFALIWZK6","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WJ4IBNXL","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:518906715a48947d4cb5b6b2e741fe95e64b41952fe06baa0fd6b72ed6e4cbdf","target":"graph","created_at":"2026-05-18T02:25:33Z","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":"We construct bounded pseudoconvex domains in $\\mathbb{C}^2$ for which the Szeg\\\"o projection operators are unbounded on $L^p$ spaces of the boundary for all $p\\not =2$.","authors_text":"Samangi Munasinghe, Yunus E. Zeytuncu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-03-05T20:37:08Z","title":"Irregularity of the Szeg\\\"o Projection on Bounded Pseudoconvex Domains in $\\mathbb{C}^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01760","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":"sha256:7c76c110fe5212e6dc04fe9c12a48a2ab1e8c358cc8d68422acf822135c71ea6","target":"record","created_at":"2026-05-18T02:25:33Z","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":"8e6229248cae57db6e645921f8d3ca37838c129070fd2c89b53f475b8d3ecae6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-03-05T20:37:08Z","title_canon_sha256":"ea92c00f68d11d78da9bfa6704c3d8568c578a09f5af493ea76a9e2d84958266"},"schema_version":"1.0","source":{"id":"1503.01760","kind":"arxiv","version":1}},"canonical_sha256":"b27880b6eb28168b655e1ec77d7138d9165a2f422b501f1738883b75930dd1df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b27880b6eb28168b655e1ec77d7138d9165a2f422b501f1738883b75930dd1df","first_computed_at":"2026-05-18T02:25:33.003999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:33.003999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HCOdIi8PZd1GQSqtdDwDFCjeTg6xD8swLSSzecamD6bVz3esNFeHbuaNmAzdk4KrfIal48yyyvOtLqFa0Av4DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:33.004440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c76c110fe5212e6dc04fe9c12a48a2ab1e8c358cc8d68422acf822135c71ea6","sha256:518906715a48947d4cb5b6b2e741fe95e64b41952fe06baa0fd6b72ed6e4cbdf"],"state_sha256":"296fb80433d2d3ce3eaa79df4d14475a4b71c244d296dc3d9f437204e64dd718"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"99pEXxWYeLyWBxHcSKWAk8GP8W7lelWuag3L7kL+dGd12ooy112lsH+CFtIoiqtYvW73VNAnEvqu1LsuvukSBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:49:07.818874Z","bundle_sha256":"c6a748d57f3c16e5bd697c6aa0e16d49d5c291ba1deec18ea2a87b359c3a0cea"}}