{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FFGXJHLNUAK7IFEQH6ZYOKK7WP","short_pith_number":"pith:FFGXJHLN","canonical_record":{"source":{"id":"1707.09677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-30T21:43:47Z","cross_cats_sorted":[],"title_canon_sha256":"fd966b12d44dfd0ea18161fb16f0538d1c048c0b320e1210772db61c9d8dc213","abstract_canon_sha256":"c1a863c866acf316b8f3f14b83cc7434bab53638a5b16a955906504aa93531f6"},"schema_version":"1.0"},"canonical_sha256":"294d749d6da015f414903fb387295fb3d6a279e2f01135d8b592e068b5bf396f","source":{"kind":"arxiv","id":"1707.09677","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09677","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09677v1","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09677","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"pith_short_12","alias_value":"FFGXJHLNUAK7","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFGXJHLNUAK7IFEQ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFGXJHLN","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FFGXJHLNUAK7IFEQH6ZYOKK7WP","target":"record","payload":{"canonical_record":{"source":{"id":"1707.09677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-30T21:43:47Z","cross_cats_sorted":[],"title_canon_sha256":"fd966b12d44dfd0ea18161fb16f0538d1c048c0b320e1210772db61c9d8dc213","abstract_canon_sha256":"c1a863c866acf316b8f3f14b83cc7434bab53638a5b16a955906504aa93531f6"},"schema_version":"1.0"},"canonical_sha256":"294d749d6da015f414903fb387295fb3d6a279e2f01135d8b592e068b5bf396f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:43.238366Z","signature_b64":"vcj37dCoEHE+qFQMk3QeRa2dAerx8+4e/O5/n3eY11Bm19JxbkVjCB9OiPRF/G5AF1zhhl2ox/q+QsP9eWFBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"294d749d6da015f414903fb387295fb3d6a279e2f01135d8b592e068b5bf396f","last_reissued_at":"2026-05-17T23:55:43.237670Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:43.237670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.09677","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":"2026-05-17T23:55:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gpp69E3VN/1zPHMIkG44qp6STn2DPFV5MS21bjmFpeFxnzzfD4HGt0MW1eLfZEYm2ffeGZhk7/Y/O9XZJPVTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:06:54.304355Z"},"content_sha256":"0f9aba6f8addbf3984f319b030bf3002d984773eef207b3b9d3d353da07cbc9a","schema_version":"1.0","event_id":"sha256:0f9aba6f8addbf3984f319b030bf3002d984773eef207b3b9d3d353da07cbc9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FFGXJHLNUAK7IFEQH6ZYOKK7WP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyponormal Toeplitz operators with non-harmonic symbol acting on the Bergman space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Constanze Liaw, Matthew Fleeman","submitted_at":"2017-07-30T21:43:47Z","abstract_excerpt":"The Toeplitz operator acting on the Bergman space $A^{2}(\\mathbb{D})$, with symbol $\\varphi$ is given by $T_{\\varphi}f=P(\\varphi f)$, where $P$ is the projection from $L^{2}(\\mathbb{D})$ onto the Bergman space. We present some history on the study of hyponormal Toeplitz operators acting on $A^{2}(\\mathbb{D})$, as well as give results for when $\\varphi$ is a non-harmonic polynomial. We include a first investigation of Putnam's inequality for hyponormal operators with non-analytic symbols. Particular attention is given to unusual hyponormality behavior that arises due to the extension of the cla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09677","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":"2026-05-17T23:55:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNq3T9qFCyt0zbYnquo1WTi7cYgKZZespSeIlMQjyYWOinBvUQsS6XEhopq1Q6Gc1YK/BSqiprOO+n19aCQhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:06:54.304914Z"},"content_sha256":"328ce7f8be5b70dab5d8f2056e078be885633a3d3d74820f2fe4a5f5ed39d813","schema_version":"1.0","event_id":"sha256:328ce7f8be5b70dab5d8f2056e078be885633a3d3d74820f2fe4a5f5ed39d813"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/bundle.json","state_url":"https://pith.science/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/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":"2026-06-04T04:06:54Z","links":{"resolver":"https://pith.science/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP","bundle":"https://pith.science/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/bundle.json","state":"https://pith.science/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FFGXJHLNUAK7IFEQH6ZYOKK7WP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FFGXJHLNUAK7IFEQH6ZYOKK7WP","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":"c1a863c866acf316b8f3f14b83cc7434bab53638a5b16a955906504aa93531f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-30T21:43:47Z","title_canon_sha256":"fd966b12d44dfd0ea18161fb16f0538d1c048c0b320e1210772db61c9d8dc213"},"schema_version":"1.0","source":{"id":"1707.09677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09677","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09677v1","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09677","created_at":"2026-05-17T23:55:43Z"},{"alias_kind":"pith_short_12","alias_value":"FFGXJHLNUAK7","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFGXJHLNUAK7IFEQ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFGXJHLN","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:328ce7f8be5b70dab5d8f2056e078be885633a3d3d74820f2fe4a5f5ed39d813","target":"graph","created_at":"2026-05-17T23:55:43Z","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":"The Toeplitz operator acting on the Bergman space $A^{2}(\\mathbb{D})$, with symbol $\\varphi$ is given by $T_{\\varphi}f=P(\\varphi f)$, where $P$ is the projection from $L^{2}(\\mathbb{D})$ onto the Bergman space. We present some history on the study of hyponormal Toeplitz operators acting on $A^{2}(\\mathbb{D})$, as well as give results for when $\\varphi$ is a non-harmonic polynomial. We include a first investigation of Putnam's inequality for hyponormal operators with non-analytic symbols. Particular attention is given to unusual hyponormality behavior that arises due to the extension of the cla","authors_text":"Constanze Liaw, Matthew Fleeman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-30T21:43:47Z","title":"Hyponormal Toeplitz operators with non-harmonic symbol acting on the Bergman space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09677","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":"sha256:0f9aba6f8addbf3984f319b030bf3002d984773eef207b3b9d3d353da07cbc9a","target":"record","created_at":"2026-05-17T23:55:43Z","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":"c1a863c866acf316b8f3f14b83cc7434bab53638a5b16a955906504aa93531f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-30T21:43:47Z","title_canon_sha256":"fd966b12d44dfd0ea18161fb16f0538d1c048c0b320e1210772db61c9d8dc213"},"schema_version":"1.0","source":{"id":"1707.09677","kind":"arxiv","version":1}},"canonical_sha256":"294d749d6da015f414903fb387295fb3d6a279e2f01135d8b592e068b5bf396f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"294d749d6da015f414903fb387295fb3d6a279e2f01135d8b592e068b5bf396f","first_computed_at":"2026-05-17T23:55:43.237670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:43.237670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vcj37dCoEHE+qFQMk3QeRa2dAerx8+4e/O5/n3eY11Bm19JxbkVjCB9OiPRF/G5AF1zhhl2ox/q+QsP9eWFBBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:43.238366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f9aba6f8addbf3984f319b030bf3002d984773eef207b3b9d3d353da07cbc9a","sha256:328ce7f8be5b70dab5d8f2056e078be885633a3d3d74820f2fe4a5f5ed39d813"],"state_sha256":"3f94a71a1b43562406b23df685f836c1ccc037fdf4b82029ca8455c01a778b60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OM25RheXTSwhgag1RGnCtXwbZWEsMlZDuEL+MpEIhj59A0ayrGLvr8Vd36hHcXUjHxPxA2kB/LG4UBP4vTQ6Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:06:54.307513Z","bundle_sha256":"07cf83602589f28a801702b8e7cbe343df7f409ce930a14fcf0d3b49d7eb6b6f"}}