{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AGAHNUT5ZRVETNZX6KGAZ6VDBX","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":"998cc1c8d7aaba86aca1e501ff1670116dc9cb57342d6ab52684000bac1cb765","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-03T21:49:05Z","title_canon_sha256":"ca181cbce26073a3726dee534cd74e75ec6b0d1726cd50ee45b914e9ee49e884"},"schema_version":"1.0","source":{"id":"1607.00689","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00689","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00689v3","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00689","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"AGAHNUT5ZRVE","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AGAHNUT5ZRVETNZX","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AGAHNUT5","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:bd5e0f9b5f2b46a484a6999e96dca6344466fe80b0954959e19bcc94addf0944","target":"graph","created_at":"2026-05-18T00:35:55Z","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 we study the Besov continuity of pseudo-differential operators on compact homogeneous manifolds $M=G/K.$ We use the global quantization of these operators in terms of the representation theory of compact homogeneous manifolds.","authors_text":"Duv\\'an Cardona","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-03T21:49:05Z","title":"Besov continuity for pseudo-differential operators on compact homogeneous manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00689","kind":"arxiv","version":3},"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":"sha256:82cc231a285194fa544d2eb5ac1f37cce102dd273502b5768366e41db71d63f6","target":"record","created_at":"2026-05-18T00:35:55Z","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":"998cc1c8d7aaba86aca1e501ff1670116dc9cb57342d6ab52684000bac1cb765","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-03T21:49:05Z","title_canon_sha256":"ca181cbce26073a3726dee534cd74e75ec6b0d1726cd50ee45b914e9ee49e884"},"schema_version":"1.0","source":{"id":"1607.00689","kind":"arxiv","version":3}},"canonical_sha256":"018076d27dcc6a49b737f28c0cfaa30dddbc5dd3379f39357c0e7510711a3ce5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"018076d27dcc6a49b737f28c0cfaa30dddbc5dd3379f39357c0e7510711a3ce5","first_computed_at":"2026-05-18T00:35:55.636352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:55.636352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0O/w7MmqVEYXDqOMCYpcnJU22NRVcTTNpmDAcqIrJeDnbWQOXe8V4Fgzc/be3MoHY9uVN9yZjWdxqRWNuDN6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:55.636735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00689","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82cc231a285194fa544d2eb5ac1f37cce102dd273502b5768366e41db71d63f6","sha256:bd5e0f9b5f2b46a484a6999e96dca6344466fe80b0954959e19bcc94addf0944"],"state_sha256":"a1fe74e1e65cc439ec3f0d96291cfc560dd8fe480b0366ec0c530c6484b38c0f"}