{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7NMP3737KMW2ZDX53TIWNRV6KW","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":"93e9fb991622a3226d7f9bcd01d197f81bc86293bc63e2a20fdb256a634f7292","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-04-07T10:42:03Z","title_canon_sha256":"2fc78b421a4d7206558f0cd5336e13a26655f46cb9073eb9cd8ee9024f34176a"},"schema_version":"1.0","source":{"id":"1704.02177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02177","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02177v2","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02177","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"pith_short_12","alias_value":"7NMP3737KMW2","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7NMP3737KMW2ZDX5","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7NMP3737","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:7d75ef6050f7770a97d2bde4c9ef166a0aa8fc356722e5ceed7e211f99c9eaf3","target":"graph","created_at":"2026-05-17T23:59:27Z","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 main aim of this article is to give a necessary and sufficient condition for a real Bott manifold to admit a spin structure and further give a combinatorial characterization for the spin structure in terms of the associated acyclic digraph.","authors_text":"Raisa Dsouza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-04-07T10:42:03Z","title":"On the topology of real Bott manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02177","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:d9b2c66e8c6183153492702f25f8f01cfff64b86f7e63df91c5706b12c47b29e","target":"record","created_at":"2026-05-17T23:59:27Z","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":"93e9fb991622a3226d7f9bcd01d197f81bc86293bc63e2a20fdb256a634f7292","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-04-07T10:42:03Z","title_canon_sha256":"2fc78b421a4d7206558f0cd5336e13a26655f46cb9073eb9cd8ee9024f34176a"},"schema_version":"1.0","source":{"id":"1704.02177","kind":"arxiv","version":2}},"canonical_sha256":"fb58fdff7f532dac8efddcd166c6be55ae50f78a556e5d51f775479018fca138","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb58fdff7f532dac8efddcd166c6be55ae50f78a556e5d51f775479018fca138","first_computed_at":"2026-05-17T23:59:27.987581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:27.987581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EZjxSvp/3UPCBdrVj7EQf2PM+jDoCcYOHh2FBLCRCdyzrYZ4oNI8ScvHzdf2cwVJw4UxZVU4sQSp/86lLNO/DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:27.987975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9b2c66e8c6183153492702f25f8f01cfff64b86f7e63df91c5706b12c47b29e","sha256:7d75ef6050f7770a97d2bde4c9ef166a0aa8fc356722e5ceed7e211f99c9eaf3"],"state_sha256":"e009743cb9c2bf74ab403dbe908f987e85de254d6eed35640b004d9197307214"}