{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PVAZIFHU7GUJDIZQPOMM4SVN25","short_pith_number":"pith:PVAZIFHU","canonical_record":{"source":{"id":"1307.4829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-18T04:23:29Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"18bf3d6d79e0592360c56282d9a3838561931bdcc764ad6e63854d50aa095a33","abstract_canon_sha256":"f9d3614ec90e7a6c3f468258e66515c6b3bb2df2c4e4867629a05c839ff5e7b1"},"schema_version":"1.0"},"canonical_sha256":"7d419414f4f9a891a3307b98ce4aadd77a254de3a185edf22af178212834e398","source":{"kind":"arxiv","id":"1307.4829","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4829","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4829v2","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4829","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"PVAZIFHU7GUJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PVAZIFHU7GUJDIZQ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PVAZIFHU","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PVAZIFHU7GUJDIZQPOMM4SVN25","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-18T04:23:29Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"18bf3d6d79e0592360c56282d9a3838561931bdcc764ad6e63854d50aa095a33","abstract_canon_sha256":"f9d3614ec90e7a6c3f468258e66515c6b3bb2df2c4e4867629a05c839ff5e7b1"},"schema_version":"1.0"},"canonical_sha256":"7d419414f4f9a891a3307b98ce4aadd77a254de3a185edf22af178212834e398","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:15.095265Z","signature_b64":"NOLPlWOjw4g83uJdc56FGIIQKa6y+toR6/12XEkVe+TDJkbi4+7fxGP44Xlvz7NQirIG0jX6ZKJYDP3cnan9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d419414f4f9a891a3307b98ce4aadd77a254de3a185edf22af178212834e398","last_reissued_at":"2026-05-18T02:51:15.094839Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:15.094839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4829","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":"2026-05-18T02:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWIJcp7Xtq0pKD8oT2BgVOBx+2Uu88fDqY0BVQvl3Y8KYYHgPw7wCoCpAWhu6NQ/srqhgM1lRC4BlcBoIft8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:20:33.340264Z"},"content_sha256":"a0093b0dc011630914c8ab5bf918bff20c854085d11c1368bc46bc790a22e8e7","schema_version":"1.0","event_id":"sha256:a0093b0dc011630914c8ab5bf918bff20c854085d11c1368bc46bc790a22e8e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PVAZIFHU7GUJDIZQPOMM4SVN25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toeplitz operators on Fock-Sobolev type spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Hong Rae Cho, Jae-Cheon Joo, Joshua Isralowitz","submitted_at":"2013-07-18T04:23:29Z","abstract_excerpt":"In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock-Sobolev spaces of fractional order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4829","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":"2026-05-18T02:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1F0vOScxlAuUdB8epxSNBrUscFXO1UPVy6SbMKM5fRqP7+6/j8DQqPG34y0tvXpSzwWwa0DpG3pED9IlP20BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:20:33.340906Z"},"content_sha256":"6605fb6d78cfbb8159a1abf9341543ed924d61af58da3abfcfba9bc5c778edc0","schema_version":"1.0","event_id":"sha256:6605fb6d78cfbb8159a1abf9341543ed924d61af58da3abfcfba9bc5c778edc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/bundle.json","state_url":"https://pith.science/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/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":"2026-06-25T23:20:33Z","links":{"resolver":"https://pith.science/pith/PVAZIFHU7GUJDIZQPOMM4SVN25","bundle":"https://pith.science/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/bundle.json","state":"https://pith.science/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PVAZIFHU7GUJDIZQPOMM4SVN25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PVAZIFHU7GUJDIZQPOMM4SVN25","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":"f9d3614ec90e7a6c3f468258e66515c6b3bb2df2c4e4867629a05c839ff5e7b1","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-18T04:23:29Z","title_canon_sha256":"18bf3d6d79e0592360c56282d9a3838561931bdcc764ad6e63854d50aa095a33"},"schema_version":"1.0","source":{"id":"1307.4829","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4829","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4829v2","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4829","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"PVAZIFHU7GUJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PVAZIFHU7GUJDIZQ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PVAZIFHU","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:6605fb6d78cfbb8159a1abf9341543ed924d61af58da3abfcfba9bc5c778edc0","target":"graph","created_at":"2026-05-18T02:51:15Z","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":"In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock-Sobolev spaces of fractional order.","authors_text":"Hong Rae Cho, Jae-Cheon Joo, Joshua Isralowitz","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-18T04:23:29Z","title":"Toeplitz operators on Fock-Sobolev type spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4829","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:a0093b0dc011630914c8ab5bf918bff20c854085d11c1368bc46bc790a22e8e7","target":"record","created_at":"2026-05-18T02:51:15Z","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":"f9d3614ec90e7a6c3f468258e66515c6b3bb2df2c4e4867629a05c839ff5e7b1","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-18T04:23:29Z","title_canon_sha256":"18bf3d6d79e0592360c56282d9a3838561931bdcc764ad6e63854d50aa095a33"},"schema_version":"1.0","source":{"id":"1307.4829","kind":"arxiv","version":2}},"canonical_sha256":"7d419414f4f9a891a3307b98ce4aadd77a254de3a185edf22af178212834e398","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d419414f4f9a891a3307b98ce4aadd77a254de3a185edf22af178212834e398","first_computed_at":"2026-05-18T02:51:15.094839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:15.094839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NOLPlWOjw4g83uJdc56FGIIQKa6y+toR6/12XEkVe+TDJkbi4+7fxGP44Xlvz7NQirIG0jX6ZKJYDP3cnan9Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:15.095265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4829","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0093b0dc011630914c8ab5bf918bff20c854085d11c1368bc46bc790a22e8e7","sha256:6605fb6d78cfbb8159a1abf9341543ed924d61af58da3abfcfba9bc5c778edc0"],"state_sha256":"815524136c72d906a9e13cc441940bcfdc84a97c13a0dfb7836a0ab447378b43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YCh77iKCSjZybmHgMvWGYcCwsTQ/3FcPoFQgbSFHd5aq/XX9Q6AIuFzE8gKR51YzuX2juDVKXHHveFj5YET2Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:20:33.343209Z","bundle_sha256":"07ff4c27b8d999ec5eec0dddb4de3a37dff9f3228e4a1b95f7ae4d3ae381728b"}}