{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UOHSLLCK6RWIUDRPW7CTC65W6R","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":"3ce7a480806b3358e69671373b23557a586cc3d945be614e6f9c9a63f1f65a6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-23T13:20:32Z","title_canon_sha256":"043895e3ec7d2324c3921bd94f3305b08be78e5c2c7cb1637233d3b79a749bd0"},"schema_version":"1.0","source":{"id":"1311.5995","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5995","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5995v2","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5995","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"pith_short_12","alias_value":"UOHSLLCK6RWI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UOHSLLCK6RWIUDRP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UOHSLLCK","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fe5535b63fb17d6678a421538b03665feca168151e2a49c5e035502fbbc01028","target":"graph","created_at":"2026-05-18T02:27:18Z","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":"The paper contains Boas-type formulas for trajectories of one-parameter groups of operators in Banach spaces. The results are illustrated using one-parameter groups of operators which appear in representations of Lie groups.","authors_text":"Isaac Z. Pesenson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-23T13:20:32Z","title":"Boas-type formulas in Banach spaces with applications to analysis on manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5995","kind":"arxiv","version":2},"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":"sha256:587292e6dcc07e9eaff6ad1629a12395ec080ee3c493728751659e99bfef8d0f","target":"record","created_at":"2026-05-18T02:27:18Z","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":"3ce7a480806b3358e69671373b23557a586cc3d945be614e6f9c9a63f1f65a6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-23T13:20:32Z","title_canon_sha256":"043895e3ec7d2324c3921bd94f3305b08be78e5c2c7cb1637233d3b79a749bd0"},"schema_version":"1.0","source":{"id":"1311.5995","kind":"arxiv","version":2}},"canonical_sha256":"a38f25ac4af46c8a0e2fb7c5317bb6f479403d80430b17e37572f00399d09863","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a38f25ac4af46c8a0e2fb7c5317bb6f479403d80430b17e37572f00399d09863","first_computed_at":"2026-05-18T02:27:18.981038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:18.981038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1auR6IGM8rQt9tRm++EcJ1idYCgETMNZayL9T0RRgWv7R+0krWEXqQVmdzjEKwT6l8HKTwDa8FRF4pEMm0liAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:18.981761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5995","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:587292e6dcc07e9eaff6ad1629a12395ec080ee3c493728751659e99bfef8d0f","sha256:fe5535b63fb17d6678a421538b03665feca168151e2a49c5e035502fbbc01028"],"state_sha256":"c1f8e0d36b08b7faf331a151c9b3698088856df121d29aa121d213fb9d975b3c"}