{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2SDVPXBWPRNDZPEQN7K53PZ72Y","short_pith_number":"pith:2SDVPXBW","schema_version":"1.0","canonical_sha256":"d48757dc367c5a3cbc906fd5ddbf3fd610454cdc175a306dc68149e977058fe7","source":{"kind":"arxiv","id":"1606.08961","version":1},"attestation_state":"computed","paper":{"title":"Functions of triples of noncommuting self-adjoint operators and their perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.CV","math.SP"],"primary_cat":"math.FA","authors_text":"Vladimir Peller","submitted_at":"2016-06-29T05:51:55Z","abstract_excerpt":"In this paper we study properties of functions of triples of not necessarily commuting self-adjoint operators. The main result of the paper shows that unlike in the case of functions of pairs of self-adjoint operators there is no Lipschitz type estimates in the trace norm for arbitrary functions in the Besov class $B_{\\infty,1}^1({\\Bbb R}^3)$."},"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":"1606.08961","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-06-29T05:51:55Z","cross_cats_sorted":["math.CA","math.CV","math.SP"],"title_canon_sha256":"c3416d733274d76571b004b616f6a02b9fc5c37e5add500eb682d0450669488b","abstract_canon_sha256":"0e4aad89af05d132a75de14d7de6ed518f83222322e58bf02ef5f297f3c49a11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:41.984364Z","signature_b64":"6EO05/UlsnmlElXHOxJ43foPDg6rOEFCgPK+WxV+ygYiA1laAvkQ+O/ax/gorO/2snHAUFlqamSxWWIuuGV5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d48757dc367c5a3cbc906fd5ddbf3fd610454cdc175a306dc68149e977058fe7","last_reissued_at":"2026-05-18T01:11:41.983961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:41.983961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functions of triples of noncommuting self-adjoint operators and their perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.CV","math.SP"],"primary_cat":"math.FA","authors_text":"Vladimir Peller","submitted_at":"2016-06-29T05:51:55Z","abstract_excerpt":"In this paper we study properties of functions of triples of not necessarily commuting self-adjoint operators. The main result of the paper shows that unlike in the case of functions of pairs of self-adjoint operators there is no Lipschitz type estimates in the trace norm for arbitrary functions in the Besov class $B_{\\infty,1}^1({\\Bbb R}^3)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08961","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":"1606.08961","created_at":"2026-05-18T01:11:41.984022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.08961v1","created_at":"2026-05-18T01:11:41.984022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08961","created_at":"2026-05-18T01:11:41.984022+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SDVPXBWPRND","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SDVPXBWPRNDZPEQ","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SDVPXBW","created_at":"2026-05-18T12:29:55.572404+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/2SDVPXBWPRNDZPEQN7K53PZ72Y","json":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y.json","graph_json":"https://pith.science/api/pith-number/2SDVPXBWPRNDZPEQN7K53PZ72Y/graph.json","events_json":"https://pith.science/api/pith-number/2SDVPXBWPRNDZPEQN7K53PZ72Y/events.json","paper":"https://pith.science/paper/2SDVPXBW"},"agent_actions":{"view_html":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y","download_json":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y.json","view_paper":"https://pith.science/paper/2SDVPXBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.08961&json=true","fetch_graph":"https://pith.science/api/pith-number/2SDVPXBWPRNDZPEQN7K53PZ72Y/graph.json","fetch_events":"https://pith.science/api/pith-number/2SDVPXBWPRNDZPEQN7K53PZ72Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y/action/storage_attestation","attest_author":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y/action/author_attestation","sign_citation":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y/action/citation_signature","submit_replication":"https://pith.science/pith/2SDVPXBWPRNDZPEQN7K53PZ72Y/action/replication_record"}},"created_at":"2026-05-18T01:11:41.984022+00:00","updated_at":"2026-05-18T01:11:41.984022+00:00"}