{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OIVZBZX3HLMLXUQPOCK7M4IYKS","short_pith_number":"pith:OIVZBZX3","canonical_record":{"source":{"id":"2506.00584","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2025-05-31T14:40:02Z","cross_cats_sorted":[],"title_canon_sha256":"67cf6141c067c0c7d9c12a0d75a810b708121176da16075eaaabcad83480b7f8","abstract_canon_sha256":"6bd2a72263ebd02bd2de025737f7c0777e3438871d0311873dcbd9cc97f5c23e"},"schema_version":"1.0"},"canonical_sha256":"722b90e6fb3ad8bbd20f7095f671185483b3b764f51b3a7e54a44f532bf76d12","source":{"kind":"arxiv","id":"2506.00584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00584","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00584v1","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00584","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"OIVZBZX3HLML","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_16","alias_value":"OIVZBZX3HLMLXUQP","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_8","alias_value":"OIVZBZX3","created_at":"2026-07-05T11:13:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OIVZBZX3HLMLXUQPOCK7M4IYKS","target":"record","payload":{"canonical_record":{"source":{"id":"2506.00584","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2025-05-31T14:40:02Z","cross_cats_sorted":[],"title_canon_sha256":"67cf6141c067c0c7d9c12a0d75a810b708121176da16075eaaabcad83480b7f8","abstract_canon_sha256":"6bd2a72263ebd02bd2de025737f7c0777e3438871d0311873dcbd9cc97f5c23e"},"schema_version":"1.0"},"canonical_sha256":"722b90e6fb3ad8bbd20f7095f671185483b3b764f51b3a7e54a44f532bf76d12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:37.374552Z","signature_b64":"6CT0Dgh+W1unA8JrLNFuP+4twfWyM2ltQiZlgFO/qj9i9ael2iin5sIu2Q/wRMBuE9dcnMvIuycfcKwIj31ZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"722b90e6fb3ad8bbd20f7095f671185483b3b764f51b3a7e54a44f532bf76d12","last_reissued_at":"2026-07-05T11:13:37.373983Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:37.373983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.00584","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":"2026-07-05T11:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qa/IUy4Ue3P36utmkUJRMUK+aTFJfWbVlwGd/i9sJb+P7bzQsHeQzzg6OGSaXQWgspnX8KluGDW2sNKNtRTGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:15.741988Z"},"content_sha256":"efb34943a36fbdb3133615046a8141bd376e953047539d2f10e6a43fdd53f960","schema_version":"1.0","event_id":"sha256:efb34943a36fbdb3133615046a8141bd376e953047539d2f10e6a43fdd53f960"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OIVZBZX3HLMLXUQPOCK7M4IYKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On local non-tangential growth of the resolvent of a banded Toeplitz operator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"L. Golinskii, S. Kupin","submitted_at":"2025-05-31T14:40:02Z","abstract_excerpt":"We study the growth of the resolvent of a Hardy--Toeplitz operator $T_b$ with a Laurent polynomial symbol (\\emph{i.e., } the matrix $T_b$ is banded), at the neighborhood of a point $w_0\\in\\partial(\\sigma(T_b))$ on the boundary of its spectrum. We show that such growth is inverse linear in some non-tangential domains at the vertex $w_0$, provided that $w_0$ does not belong to a certain finite set on the complex plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00584","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.00584/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QJa/mNHYHbNoJGrGOkk06vWgf+Q4fLqfyWazMdKOWBlfJIbZ5IfJc2Bp+TnCNERN789zqtLRFoSE+pfe5qzkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:15.742524Z"},"content_sha256":"3ee44c85774c47e21bf05ce7b711ff1b4543325ae73a300031b6cbb61f2720c5","schema_version":"1.0","event_id":"sha256:3ee44c85774c47e21bf05ce7b711ff1b4543325ae73a300031b6cbb61f2720c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/bundle.json","state_url":"https://pith.science/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/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":"2026-08-09T00:42:15Z","links":{"resolver":"https://pith.science/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS","bundle":"https://pith.science/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/bundle.json","state":"https://pith.science/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OIVZBZX3HLMLXUQPOCK7M4IYKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OIVZBZX3HLMLXUQPOCK7M4IYKS","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":"6bd2a72263ebd02bd2de025737f7c0777e3438871d0311873dcbd9cc97f5c23e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2025-05-31T14:40:02Z","title_canon_sha256":"67cf6141c067c0c7d9c12a0d75a810b708121176da16075eaaabcad83480b7f8"},"schema_version":"1.0","source":{"id":"2506.00584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.00584","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"2506.00584v1","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00584","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"OIVZBZX3HLML","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_16","alias_value":"OIVZBZX3HLMLXUQP","created_at":"2026-07-05T11:13:37Z"},{"alias_kind":"pith_short_8","alias_value":"OIVZBZX3","created_at":"2026-07-05T11:13:37Z"}],"graph_snapshots":[{"event_id":"sha256:3ee44c85774c47e21bf05ce7b711ff1b4543325ae73a300031b6cbb61f2720c5","target":"graph","created_at":"2026-07-05T11:13:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.00584/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the growth of the resolvent of a Hardy--Toeplitz operator $T_b$ with a Laurent polynomial symbol (\\emph{i.e., } the matrix $T_b$ is banded), at the neighborhood of a point $w_0\\in\\partial(\\sigma(T_b))$ on the boundary of its spectrum. We show that such growth is inverse linear in some non-tangential domains at the vertex $w_0$, provided that $w_0$ does not belong to a certain finite set on the complex plane.","authors_text":"L. Golinskii, S. Kupin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2025-05-31T14:40:02Z","title":"On local non-tangential growth of the resolvent of a banded Toeplitz operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00584","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:efb34943a36fbdb3133615046a8141bd376e953047539d2f10e6a43fdd53f960","target":"record","created_at":"2026-07-05T11:13:37Z","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":"6bd2a72263ebd02bd2de025737f7c0777e3438871d0311873dcbd9cc97f5c23e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2025-05-31T14:40:02Z","title_canon_sha256":"67cf6141c067c0c7d9c12a0d75a810b708121176da16075eaaabcad83480b7f8"},"schema_version":"1.0","source":{"id":"2506.00584","kind":"arxiv","version":1}},"canonical_sha256":"722b90e6fb3ad8bbd20f7095f671185483b3b764f51b3a7e54a44f532bf76d12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"722b90e6fb3ad8bbd20f7095f671185483b3b764f51b3a7e54a44f532bf76d12","first_computed_at":"2026-07-05T11:13:37.373983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:37.373983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6CT0Dgh+W1unA8JrLNFuP+4twfWyM2ltQiZlgFO/qj9i9ael2iin5sIu2Q/wRMBuE9dcnMvIuycfcKwIj31ZDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:37.374552Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.00584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efb34943a36fbdb3133615046a8141bd376e953047539d2f10e6a43fdd53f960","sha256:3ee44c85774c47e21bf05ce7b711ff1b4543325ae73a300031b6cbb61f2720c5"],"state_sha256":"b0f6f9384e49296d487d93a66abdc7955383982853ea32064fd3cfb8885564bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Flis+otKqCv6T2dzpLfj461KjW+p8eAW46D9jNObRtvEFJ90RrP7X1kFvZGhy7r3AwsMRy2DbwpbbohGQwNpBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:42:15.747203Z","bundle_sha256":"eef65c2f15f7c119b3fd49008abbfeb61cfe6e6b6d057b3474665bd88b011cde"}}