{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:M4II5UODD7TNIKYVN7LXZOI2KN","short_pith_number":"pith:M4II5UOD","schema_version":"1.0","canonical_sha256":"67108ed1c31fe6d42b156fd77cb91a5361615b307f8db0f16e7050295958a6a9","source":{"kind":"arxiv","id":"math/0702202","version":1},"attestation_state":"computed","paper":{"title":"On a Calderon-Zygmund commutator-type estimate","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"J. Michael Wilson, Mirko Tarulli","submitted_at":"2007-02-07T20:37:26Z","abstract_excerpt":"In this paper we extend a Calderon-Zygmund commutator-type estimate. This estimate enables us to prove an embedding result concerning weighted function spaces."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0702202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"2007-02-07T20:37:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2cfb079de5a6814755bcb1382f6010fe710f2830e8c1acd8852d4eb43d462ab4","abstract_canon_sha256":"ac7b0e4d73cc3cda2a2a697dd2309516ed34685c5722e656cab3d6bb8471597e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:23.294777Z","signature_b64":"n2W1UseW6PzRI+ywk/pMzS2K6sIET3aYxTXgVqKhSZAxiZigRiq7M+o6qpGOookrn2lZ9oLAckXLgd8N4EuRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67108ed1c31fe6d42b156fd77cb91a5361615b307f8db0f16e7050295958a6a9","last_reissued_at":"2026-05-18T01:38:23.294111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:23.294111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Calderon-Zygmund commutator-type estimate","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"J. Michael Wilson, Mirko Tarulli","submitted_at":"2007-02-07T20:37:26Z","abstract_excerpt":"In this paper we extend a Calderon-Zygmund commutator-type estimate. This estimate enables us to prove an embedding result concerning weighted function spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702202","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0702202","created_at":"2026-05-18T01:38:23.294199+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0702202v1","created_at":"2026-05-18T01:38:23.294199+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702202","created_at":"2026-05-18T01:38:23.294199+00:00"},{"alias_kind":"pith_short_12","alias_value":"M4II5UODD7TN","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"M4II5UODD7TNIKYV","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"M4II5UOD","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN","json":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN.json","graph_json":"https://pith.science/api/pith-number/M4II5UODD7TNIKYVN7LXZOI2KN/graph.json","events_json":"https://pith.science/api/pith-number/M4II5UODD7TNIKYVN7LXZOI2KN/events.json","paper":"https://pith.science/paper/M4II5UOD"},"agent_actions":{"view_html":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN","download_json":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN.json","view_paper":"https://pith.science/paper/M4II5UOD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0702202&json=true","fetch_graph":"https://pith.science/api/pith-number/M4II5UODD7TNIKYVN7LXZOI2KN/graph.json","fetch_events":"https://pith.science/api/pith-number/M4II5UODD7TNIKYVN7LXZOI2KN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN/action/storage_attestation","attest_author":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN/action/author_attestation","sign_citation":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN/action/citation_signature","submit_replication":"https://pith.science/pith/M4II5UODD7TNIKYVN7LXZOI2KN/action/replication_record"}},"created_at":"2026-05-18T01:38:23.294199+00:00","updated_at":"2026-05-18T01:38:23.294199+00:00"}