{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:F4PKACLX4WJIRXBIS4YPBGMQV7","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":"02dc4958530f7cab4f1834851f4c8f48728ff02205923a31e91741c6749e71fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.FA","submitted_at":"2014-04-06T22:06:20Z","title_canon_sha256":"731c3daa53c1c2f6929e7d7b1d397f5037e18f43912af12c9e7fc04a4c63f105"},"schema_version":"1.0","source":{"id":"1404.1627","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1627","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1627v1","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1627","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"F4PKACLX4WJI","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F4PKACLX4WJIRXBI","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F4PKACLX","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:0bcbfb07e79649d9dc4ce684be921e8f9841555fc4c645a4e4718e1c7d6000fa","target":"graph","created_at":"2026-05-18T02:54:45Z","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, the boundedness of some sublinear operators is proved on homogeneous Herz-Morrey spaces with variable exponent.","authors_text":"Jianglong Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.FA","submitted_at":"2014-04-06T22:06:20Z","title":"Boundedness of some sublinear operators on Herz-Morrey spaces with variable exponent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1627","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":"sha256:79000fb052f9deff59ed81ce6ef384d0dde3bf9847b6f025beb48c31b223ad90","target":"record","created_at":"2026-05-18T02:54:45Z","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":"02dc4958530f7cab4f1834851f4c8f48728ff02205923a31e91741c6749e71fa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.FA","submitted_at":"2014-04-06T22:06:20Z","title_canon_sha256":"731c3daa53c1c2f6929e7d7b1d397f5037e18f43912af12c9e7fc04a4c63f105"},"schema_version":"1.0","source":{"id":"1404.1627","kind":"arxiv","version":1}},"canonical_sha256":"2f1ea00977e59288dc289730f09990afdb34b27c0df3d73982de23ba8f208b77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f1ea00977e59288dc289730f09990afdb34b27c0df3d73982de23ba8f208b77","first_computed_at":"2026-05-18T02:54:45.900748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:45.900748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fdYLyHGwFoFt80YKIaMVLl5ZVpcB79oJoe1tBjQCjgkYyPp7sWYDKIuk7XBXJ5uGNL9AYn4TtW0Ai4C32a+nDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:45.901242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1627","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79000fb052f9deff59ed81ce6ef384d0dde3bf9847b6f025beb48c31b223ad90","sha256:0bcbfb07e79649d9dc4ce684be921e8f9841555fc4c645a4e4718e1c7d6000fa"],"state_sha256":"6ce1992e53f0ad28455943d6a0a8000ddee137a1794f786b1d1c152a7c972f76"}