{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZJ2S4BOYT7O52LJA5YLI6SHGZ3","short_pith_number":"pith:ZJ2S4BOY","canonical_record":{"source":{"id":"1305.6739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-29T09:37:45Z","cross_cats_sorted":[],"title_canon_sha256":"04a038f2f79de81f1a89026d45541560c788b20f9922e92faf3a9ed8301663e9","abstract_canon_sha256":"5a5899b8cb7094aede96ded9f90fea30d32b0f49a2fd733d9e6b01d08dfcb30a"},"schema_version":"1.0"},"canonical_sha256":"ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff","source":{"kind":"arxiv","id":"1305.6739","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6739","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6739v1","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6739","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZJ2S4BOYT7O5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZJ2S4BOYT7O52LJA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZJ2S4BOY","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZJ2S4BOYT7O52LJA5YLI6SHGZ3","target":"record","payload":{"canonical_record":{"source":{"id":"1305.6739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-29T09:37:45Z","cross_cats_sorted":[],"title_canon_sha256":"04a038f2f79de81f1a89026d45541560c788b20f9922e92faf3a9ed8301663e9","abstract_canon_sha256":"5a5899b8cb7094aede96ded9f90fea30d32b0f49a2fd733d9e6b01d08dfcb30a"},"schema_version":"1.0"},"canonical_sha256":"ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:18.013251Z","signature_b64":"2vpaopcDqKnEMve3KdLkrJtZGwoQlGzam4BjcXKfYYgpuqY3ZMzhJgn0aw6uKCuNn3tcIGcdLVxp0ZFLkx9ZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff","last_reissued_at":"2026-05-18T03:22:18.012628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:18.012628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.6739","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"31F7IpsBQiuXn0ZRi5gR8wqABP2mceby73iT588f14m63hr7/4Y9dlb1F9BtY8VDf7sLA0fbq+cY15G+csvsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:51:56.622770Z"},"content_sha256":"cf798dd5e16b1a5bf1f1b1172a327f830f3ef3c4bbdeb44d630fe05860766928","schema_version":"1.0","event_id":"sha256:cf798dd5e16b1a5bf1f1b1172a327f830f3ef3c4bbdeb44d630fe05860766928"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZJ2S4BOYT7O52LJA5YLI6SHGZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Commutation relations for truncated Toeplitz operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dan Timotin, Isabelle Chalendar","submitted_at":"2013-05-29T09:37:45Z","abstract_excerpt":"For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space $H^2$, we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6739","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8fZCq3coIhnh2KO5WDVO7e4eSdVfDOLwprkvqoNwc6O3tDLJe7TqjgqSE5jqVf9U4cP51KzaLr3unS4qW75HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:51:56.623101Z"},"content_sha256":"6b49cc4921eca765d785f490a82b8b892b47c39a4ffc7e9492d8a26cc41b1bd1","schema_version":"1.0","event_id":"sha256:6b49cc4921eca765d785f490a82b8b892b47c39a4ffc7e9492d8a26cc41b1bd1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/bundle.json","state_url":"https://pith.science/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/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":"2026-06-01T07:51:56Z","links":{"resolver":"https://pith.science/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3","bundle":"https://pith.science/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/bundle.json","state":"https://pith.science/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJ2S4BOYT7O52LJA5YLI6SHGZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZJ2S4BOYT7O52LJA5YLI6SHGZ3","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":"5a5899b8cb7094aede96ded9f90fea30d32b0f49a2fd733d9e6b01d08dfcb30a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-29T09:37:45Z","title_canon_sha256":"04a038f2f79de81f1a89026d45541560c788b20f9922e92faf3a9ed8301663e9"},"schema_version":"1.0","source":{"id":"1305.6739","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6739","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6739v1","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6739","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZJ2S4BOYT7O5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZJ2S4BOYT7O52LJA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZJ2S4BOY","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:6b49cc4921eca765d785f490a82b8b892b47c39a4ffc7e9492d8a26cc41b1bd1","target":"graph","created_at":"2026-05-18T03:22:18Z","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":"For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space $H^2$, we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras.","authors_text":"Dan Timotin, Isabelle Chalendar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-29T09:37:45Z","title":"Commutation relations for truncated Toeplitz operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6739","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:cf798dd5e16b1a5bf1f1b1172a327f830f3ef3c4bbdeb44d630fe05860766928","target":"record","created_at":"2026-05-18T03:22:18Z","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":"5a5899b8cb7094aede96ded9f90fea30d32b0f49a2fd733d9e6b01d08dfcb30a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-29T09:37:45Z","title_canon_sha256":"04a038f2f79de81f1a89026d45541560c788b20f9922e92faf3a9ed8301663e9"},"schema_version":"1.0","source":{"id":"1305.6739","kind":"arxiv","version":1}},"canonical_sha256":"ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca752e05d89fdddd2d20ee168f48e6cec88743bd4fb2df1d84a95bff577ff6ff","first_computed_at":"2026-05-18T03:22:18.012628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:18.012628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2vpaopcDqKnEMve3KdLkrJtZGwoQlGzam4BjcXKfYYgpuqY3ZMzhJgn0aw6uKCuNn3tcIGcdLVxp0ZFLkx9ZAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:18.013251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.6739","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf798dd5e16b1a5bf1f1b1172a327f830f3ef3c4bbdeb44d630fe05860766928","sha256:6b49cc4921eca765d785f490a82b8b892b47c39a4ffc7e9492d8a26cc41b1bd1"],"state_sha256":"ca4309ff1f06e3c6c8f8443ebc816a77eb336f179e3a5dba19b8e86fef759673"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aydr1w41sIw6Wd6qYT/sbuxg0G1wwVHRy7jq3Tka9fb6YHb4frYAlBCroOcWEr2UDt5RIf830+ZMdPg5ApuMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:51:56.625029Z","bundle_sha256":"e998322193b584beec6aa5350e55766f309226a144cd63899b4ffea9cc291196"}}