{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:SAVQ57RKQHKW2XR7WT3NXMIJKP","short_pith_number":"pith:SAVQ57RK","canonical_record":{"source":{"id":"2004.13311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-04-28T05:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"9e373af9d526fd505d327bd87437d5c77efc45f8f70637a22262f205bcf91fe1","abstract_canon_sha256":"33bf73f2aa7819cfe13c7d02056f1394e9b12682e9e9824ec2a0e4d217dda27d"},"schema_version":"1.0"},"canonical_sha256":"902b0efe2a81d56d5e3fb4f6dbb10953c373c5816e44817d323da7b52e9de0fb","source":{"kind":"arxiv","id":"2004.13311","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13311","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13311v1","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13311","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"SAVQ57RKQHKW","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_16","alias_value":"SAVQ57RKQHKW2XR7","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_8","alias_value":"SAVQ57RK","created_at":"2026-07-05T00:58:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:SAVQ57RKQHKW2XR7WT3NXMIJKP","target":"record","payload":{"canonical_record":{"source":{"id":"2004.13311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-04-28T05:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"9e373af9d526fd505d327bd87437d5c77efc45f8f70637a22262f205bcf91fe1","abstract_canon_sha256":"33bf73f2aa7819cfe13c7d02056f1394e9b12682e9e9824ec2a0e4d217dda27d"},"schema_version":"1.0"},"canonical_sha256":"902b0efe2a81d56d5e3fb4f6dbb10953c373c5816e44817d323da7b52e9de0fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:58:57.899883Z","signature_b64":"yg4QTcBY7BRaX1E6x5AoJCzqp3KS0snMA7owmkkw7WiZOl1N1C9BCtJI9HKBAM+ZQ2qrNcovNKNnCqB6FHzgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"902b0efe2a81d56d5e3fb4f6dbb10953c373c5816e44817d323da7b52e9de0fb","last_reissued_at":"2026-07-05T00:58:57.899415Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:58:57.899415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.13311","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":"2026-07-05T00:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r6eTaitJQV9hBxBp7sqHvOFuqCUrcEqDuTmdwsorIYM/KNJIwI48bsrAhpQw73MFWdtQKLNzjX86Fp+GWKGDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:30:41.898248Z"},"content_sha256":"5d57f611393b8dcff49d7159a896a26a12fcab732781660b43bb6b983b511f51","schema_version":"1.0","event_id":"sha256:5d57f611393b8dcff49d7159a896a26a12fcab732781660b43bb6b983b511f51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:SAVQ57RKQHKW2XR7WT3NXMIJKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Corrigendum to the paper \"The optimal range of the Calderon operator and its applications.\" [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. Zanin, F. Sukochev, K. Tulenov","submitted_at":"2020-04-28T05:38:11Z","abstract_excerpt":"We fix a gap in the proof of a result in our earlier paper arXiv:1908.09548"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13311","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/2004.13311/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":"2026-07-05T00:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PkUY19PbQHCdp8ivAG57jgRH75RRZB6AIHhVkKwV40bNHNWKwNhkrj97Jz3+SPoGe4PI5xVhgbE6lmGlU2OiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:30:41.898964Z"},"content_sha256":"3a4bac02c30304a61b9d8734970182a49b478a2a6a35fc448336bf935323d0d7","schema_version":"1.0","event_id":"sha256:3a4bac02c30304a61b9d8734970182a49b478a2a6a35fc448336bf935323d0d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/bundle.json","state_url":"https://pith.science/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/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":"2026-08-10T16:30:41Z","links":{"resolver":"https://pith.science/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP","bundle":"https://pith.science/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/bundle.json","state":"https://pith.science/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAVQ57RKQHKW2XR7WT3NXMIJKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:SAVQ57RKQHKW2XR7WT3NXMIJKP","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":"33bf73f2aa7819cfe13c7d02056f1394e9b12682e9e9824ec2a0e4d217dda27d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-04-28T05:38:11Z","title_canon_sha256":"9e373af9d526fd505d327bd87437d5c77efc45f8f70637a22262f205bcf91fe1"},"schema_version":"1.0","source":{"id":"2004.13311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13311","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13311v1","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13311","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"SAVQ57RKQHKW","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_16","alias_value":"SAVQ57RKQHKW2XR7","created_at":"2026-07-05T00:58:57Z"},{"alias_kind":"pith_short_8","alias_value":"SAVQ57RK","created_at":"2026-07-05T00:58:57Z"}],"graph_snapshots":[{"event_id":"sha256:3a4bac02c30304a61b9d8734970182a49b478a2a6a35fc448336bf935323d0d7","target":"graph","created_at":"2026-07-05T00:58:57Z","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/2004.13311/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We fix a gap in the proof of a result in our earlier paper arXiv:1908.09548","authors_text":"D. Zanin, F. Sukochev, K. Tulenov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-04-28T05:38:11Z","title":"Corrigendum to the paper \"The optimal range of the Calderon operator and its applications.\" [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13311","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":"sha256:5d57f611393b8dcff49d7159a896a26a12fcab732781660b43bb6b983b511f51","target":"record","created_at":"2026-07-05T00:58:57Z","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":"33bf73f2aa7819cfe13c7d02056f1394e9b12682e9e9824ec2a0e4d217dda27d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-04-28T05:38:11Z","title_canon_sha256":"9e373af9d526fd505d327bd87437d5c77efc45f8f70637a22262f205bcf91fe1"},"schema_version":"1.0","source":{"id":"2004.13311","kind":"arxiv","version":1}},"canonical_sha256":"902b0efe2a81d56d5e3fb4f6dbb10953c373c5816e44817d323da7b52e9de0fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"902b0efe2a81d56d5e3fb4f6dbb10953c373c5816e44817d323da7b52e9de0fb","first_computed_at":"2026-07-05T00:58:57.899415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:58:57.899415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yg4QTcBY7BRaX1E6x5AoJCzqp3KS0snMA7owmkkw7WiZOl1N1C9BCtJI9HKBAM+ZQ2qrNcovNKNnCqB6FHzgDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:58:57.899883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.13311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d57f611393b8dcff49d7159a896a26a12fcab732781660b43bb6b983b511f51","sha256:3a4bac02c30304a61b9d8734970182a49b478a2a6a35fc448336bf935323d0d7"],"state_sha256":"0d26853496b57498ad227a36cac81eadf92ca646ca6cae30f71ed5b0c6dfb144"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1C3V+eji2ezMTNAre6+LOQkAl6+vyIbqrLibt0VQOgoY8NMj1yRbpo16QlJICoTNsMpETmToQitkWA+gbTEiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T16:30:41.903236Z","bundle_sha256":"56bc1929070bf7e7f9223bc753f613cd6f99cef36bca88c9c5a50eec998e4870"}}