{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LNPH4TM4SNNRS7E2NSNPOXGA4U","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":"dde26953b78d5729ff0223e668dfebe10c7e37aad760dad9928e12bd6fd5241e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-05T13:07:31Z","title_canon_sha256":"c459e8126c714d9fe3c4e5ad59166bdd562a61f6ab83d3738a8053e7e90a3c4f"},"schema_version":"1.0","source":{"id":"1306.1094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1094","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1094v1","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1094","created_at":"2026-05-18T03:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"LNPH4TM4SNNR","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LNPH4TM4SNNRS7E2","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LNPH4TM4","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:502b84ca438b18ec3c261bc22f7608e73860223528ccb4a269535c6c207479ef","target":"graph","created_at":"2026-05-18T03:21:44Z","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":"We consider exponential ultradistribution semigroups with non--densely defined generators and give structural theorems for ultradistribution semigroups. Also structural theorems for exponential ultradistribution semigroups are given.","authors_text":"Daniel Velinov, Marko Kosti\\'c, Stevan Pilipovi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-05T13:07:31Z","title":"Structural theorems for ultradistribution semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1094","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":"sha256:5856cf26ee6941ecb8b0e61c90d12c29881277be4c2e43c333a05521eb56b302","target":"record","created_at":"2026-05-18T03:21:44Z","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":"dde26953b78d5729ff0223e668dfebe10c7e37aad760dad9928e12bd6fd5241e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-05T13:07:31Z","title_canon_sha256":"c459e8126c714d9fe3c4e5ad59166bdd562a61f6ab83d3738a8053e7e90a3c4f"},"schema_version":"1.0","source":{"id":"1306.1094","kind":"arxiv","version":1}},"canonical_sha256":"5b5e7e4d9c935b197c9a6c9af75cc0e52f5771d50e68cf9bea05eeee352aa0ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b5e7e4d9c935b197c9a6c9af75cc0e52f5771d50e68cf9bea05eeee352aa0ec","first_computed_at":"2026-05-18T03:21:44.368400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:44.368400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"apPQO/Sw5fMOY7u/WpkLo/UwsRQ53HMrzLmxeye2DM5ylXNwP5enAXccaBRjE2i9sDRo5AjRACyM/LJ47bljAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:44.369201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5856cf26ee6941ecb8b0e61c90d12c29881277be4c2e43c333a05521eb56b302","sha256:502b84ca438b18ec3c261bc22f7608e73860223528ccb4a269535c6c207479ef"],"state_sha256":"392a114a3d5e20cfc41e8d9d935d3d6bb54d13f4d32eb6b277d3de021b236df1"}