{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YT2WEE3HWQETFWFQFL7I23US6F","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":"779d3c807c5e07af8d46cc5d4bcbc12f8639b88356ba63d222d4920c867fc575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-05T13:29:27Z","title_canon_sha256":"fdd159ad2e2a733f8dcdbd3e219324083bc67bcb9b1494fabbd6b6a46c731fd5"},"schema_version":"1.0","source":{"id":"1306.1098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1098","created_at":"2026-05-18T03:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1098v2","created_at":"2026-05-18T03:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1098","created_at":"2026-05-18T03:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"YT2WEE3HWQET","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YT2WEE3HWQETFWFQ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YT2WEE3H","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:bc5982bbc492b55eb5279af6aa9af70f2239fc295d89166fb9a683a1fde4b681","target":"graph","created_at":"2026-05-18T03:00:26Z","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 analyze Fourier hyperfunction and hyperfunction semigroups with non-densely defined generators and their connections with local convoluted $C$-semigroups. Structural theorems and spectral characterizations give necessary and sufficient conditions for the existence of such semigroups generated by a closed not necessarily densely defined operator $A$.","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":"2013-06-05T13:29:27Z","title":"Hyperfunction semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1098","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":"sha256:966daa31f0906ba46aa924a52e72fe1e01dfe440553a821dcaaa8d267f76a410","target":"record","created_at":"2026-05-18T03:00:26Z","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":"779d3c807c5e07af8d46cc5d4bcbc12f8639b88356ba63d222d4920c867fc575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-05T13:29:27Z","title_canon_sha256":"fdd159ad2e2a733f8dcdbd3e219324083bc67bcb9b1494fabbd6b6a46c731fd5"},"schema_version":"1.0","source":{"id":"1306.1098","kind":"arxiv","version":2}},"canonical_sha256":"c4f5621367b40932d8b02afe8d6e92f15484d23a38772a1982edadf481f54a16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4f5621367b40932d8b02afe8d6e92f15484d23a38772a1982edadf481f54a16","first_computed_at":"2026-05-18T03:00:26.261466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:26.261466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9TeDTJZdk5bmhn/9V+SYqMfBYj9Ls247VnBZsNqhoZIisg2npzfEy3JnhRca7qEYewpUVqD8QwdwGxGYWyf7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:26.262279Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:966daa31f0906ba46aa924a52e72fe1e01dfe440553a821dcaaa8d267f76a410","sha256:bc5982bbc492b55eb5279af6aa9af70f2239fc295d89166fb9a683a1fde4b681"],"state_sha256":"e4edab4ce755a081638dc99f136e51e0509bad77d2570fdfba0cbaf238913eb7"}