{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NYCHXHNJLYMA76CVBGQTOWI4PQ","short_pith_number":"pith:NYCHXHNJ","canonical_record":{"source":{"id":"1305.7150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-30T16:07:31Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"792e1db2e5f17a7bfe4a2a9c1f2b4d49ae2d22c02790d20f3b40aa74cff465e2","abstract_canon_sha256":"2efa439b6dd6f1cea51e95d78b31c6003df6c0e69085589a358b54618183823b"},"schema_version":"1.0"},"canonical_sha256":"6e047b9da95e180ff85509a137591c7c3accfab10d30c2420adaee74ce9163eb","source":{"kind":"arxiv","id":"1305.7150","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7150","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7150v1","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7150","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"NYCHXHNJLYMA","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NYCHXHNJLYMA76CV","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NYCHXHNJ","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NYCHXHNJLYMA76CVBGQTOWI4PQ","target":"record","payload":{"canonical_record":{"source":{"id":"1305.7150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-30T16:07:31Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"792e1db2e5f17a7bfe4a2a9c1f2b4d49ae2d22c02790d20f3b40aa74cff465e2","abstract_canon_sha256":"2efa439b6dd6f1cea51e95d78b31c6003df6c0e69085589a358b54618183823b"},"schema_version":"1.0"},"canonical_sha256":"6e047b9da95e180ff85509a137591c7c3accfab10d30c2420adaee74ce9163eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:16.283303Z","signature_b64":"tggBd/k8Z6K/exnvSFLeiGB3Gt2w3hjyQGCvv3geWDcvRAX034JwfvgpaOSgFN8DmDa9wfbLnMKnGFD0tYEBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e047b9da95e180ff85509a137591c7c3accfab10d30c2420adaee74ce9163eb","last_reissued_at":"2026-05-18T03:22:16.282789Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:16.282789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.7150","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":"2026-05-18T03:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GeTorfh+DBo0pv/eN62gMtzfUjfpqF/WgXHaviLGYG1syHHmMOblkAQd2rKrCRWdy0T/h0PVIS+PssscYIueCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:25:06.364845Z"},"content_sha256":"a96e42461fd0dfa71632e89432a229be9ee8f2050c550bd24519a683ba53d891","schema_version":"1.0","event_id":"sha256:a96e42461fd0dfa71632e89432a229be9ee8f2050c550bd24519a683ba53d891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NYCHXHNJLYMA76CVBGQTOWI4PQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on Complex Ellipsoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Mehmet \\c{C}el\\.ik, Yunus E. Zeytuncu","submitted_at":"2013-05-30T16:07:31Z","abstract_excerpt":"On a complex ellipsoid in $\\mathbb{C}^n$, we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7150","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":"2026-05-18T03:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LsZrGCw9Beq3yKJsni3OHXRdgwZOtMagvS7fnH38MPDnCX2K2GfcSAY3sjYf3pTIVlAEIvTs7vxV4Xtk3Mb/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:25:06.365207Z"},"content_sha256":"f30bfc5f195cf8c609756ac49e64065f89fb620705da984066bff7d78ff5747d","schema_version":"1.0","event_id":"sha256:f30bfc5f195cf8c609756ac49e64065f89fb620705da984066bff7d78ff5747d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/bundle.json","state_url":"https://pith.science/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/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":"2026-06-02T06:25:06Z","links":{"resolver":"https://pith.science/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ","bundle":"https://pith.science/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/bundle.json","state":"https://pith.science/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYCHXHNJLYMA76CVBGQTOWI4PQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NYCHXHNJLYMA76CVBGQTOWI4PQ","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":"2efa439b6dd6f1cea51e95d78b31c6003df6c0e69085589a358b54618183823b","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-30T16:07:31Z","title_canon_sha256":"792e1db2e5f17a7bfe4a2a9c1f2b4d49ae2d22c02790d20f3b40aa74cff465e2"},"schema_version":"1.0","source":{"id":"1305.7150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7150","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7150v1","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7150","created_at":"2026-05-18T03:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"NYCHXHNJLYMA","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NYCHXHNJLYMA76CV","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NYCHXHNJ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:f30bfc5f195cf8c609756ac49e64065f89fb620705da984066bff7d78ff5747d","target":"graph","created_at":"2026-05-18T03:22:16Z","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":"On a complex ellipsoid in $\\mathbb{C}^n$, we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt.","authors_text":"Mehmet \\c{C}el\\.ik, Yunus E. Zeytuncu","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-30T16:07:31Z","title":"Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on Complex Ellipsoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7150","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:a96e42461fd0dfa71632e89432a229be9ee8f2050c550bd24519a683ba53d891","target":"record","created_at":"2026-05-18T03:22:16Z","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":"2efa439b6dd6f1cea51e95d78b31c6003df6c0e69085589a358b54618183823b","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-30T16:07:31Z","title_canon_sha256":"792e1db2e5f17a7bfe4a2a9c1f2b4d49ae2d22c02790d20f3b40aa74cff465e2"},"schema_version":"1.0","source":{"id":"1305.7150","kind":"arxiv","version":1}},"canonical_sha256":"6e047b9da95e180ff85509a137591c7c3accfab10d30c2420adaee74ce9163eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e047b9da95e180ff85509a137591c7c3accfab10d30c2420adaee74ce9163eb","first_computed_at":"2026-05-18T03:22:16.282789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:16.282789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tggBd/k8Z6K/exnvSFLeiGB3Gt2w3hjyQGCvv3geWDcvRAX034JwfvgpaOSgFN8DmDa9wfbLnMKnGFD0tYEBBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:16.283303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a96e42461fd0dfa71632e89432a229be9ee8f2050c550bd24519a683ba53d891","sha256:f30bfc5f195cf8c609756ac49e64065f89fb620705da984066bff7d78ff5747d"],"state_sha256":"2a7137ebf270aacf19d8cb66cba4d64f59ea1bd2c30842af15cf6f287a853af6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QnpQ9NrE/S4IQLMOqs/1liB6QrnL6oNmBrJZF69QPuFaPGavJLmYVF8r9GbKFN7vbcKApy//c2l2Eg5jhnJRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:25:06.367049Z","bundle_sha256":"98eff3c6ec288b557c265431e24d74e7b9bfa164ce42857108d3030730ef4af2"}}