{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EH2L67HBIEVGP22IWHVTHOSRRD","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":"d28e108cc17f78529d9a9f9054430f3176e6b61523ac7fa7ca63fe153d77d775","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-12T17:07:46Z","title_canon_sha256":"2c907b6dca3e72d0230da904e210892622a13fef886fe3fe98fa041354fe1bc1"},"schema_version":"1.0","source":{"id":"1704.03843","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03843","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03843v2","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03843","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"EH2L67HBIEVG","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EH2L67HBIEVGP22I","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EH2L67HB","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:6f31f041f66d620d2e27636d272426fd7e8f919351a66d359d856def27d82c4a","target":"graph","created_at":"2026-05-18T00:28:55Z","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":"We present an internal characterization for the productively Lindel\\\"of property, thus answering a long-standing problem attributed to Tamano. We also present some results about the relation Alster spaces vs. productively Lindel\\\"of spaces.","authors_text":"Leandro F. Aurichi, Lyubomyr Zdomskyy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-12T17:07:46Z","title":"Internal characterizations of productively Lindel\\\"of spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03843","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":"sha256:16018768874a306ce9520580a29d8bf4e0b5d481e5e1ff75c27318c6895ee486","target":"record","created_at":"2026-05-18T00:28:55Z","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":"d28e108cc17f78529d9a9f9054430f3176e6b61523ac7fa7ca63fe153d77d775","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-12T17:07:46Z","title_canon_sha256":"2c907b6dca3e72d0230da904e210892622a13fef886fe3fe98fa041354fe1bc1"},"schema_version":"1.0","source":{"id":"1704.03843","kind":"arxiv","version":2}},"canonical_sha256":"21f4bf7ce1412a67eb48b1eb33ba5188c8111fc743972de3b9353d889f9deb67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21f4bf7ce1412a67eb48b1eb33ba5188c8111fc743972de3b9353d889f9deb67","first_computed_at":"2026-05-18T00:28:55.977853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:55.977853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+TWl4odAIenMC8lRkfMdbqvDuXhBk8T1lyl5dJF29OcKfP1fy1d/2s5EccBp503KEklU7IOhHtMhwz/45OcaCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:55.978276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03843","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16018768874a306ce9520580a29d8bf4e0b5d481e5e1ff75c27318c6895ee486","sha256:6f31f041f66d620d2e27636d272426fd7e8f919351a66d359d856def27d82c4a"],"state_sha256":"41f33f9b6c1298be42719d903c4fdc47f1fbff79b628ef9e64ec02761d8f9319"}