{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SQ4YQH5TGS44VLK65MTSO22AXH","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":"77707463fad0433563d94015e82b0f709a8e36269e1816672e4df0c2557bc070","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-21T06:56:39Z","title_canon_sha256":"24a23ecb250b52f3b6ad0b82839fa63126de511a0c15e8878f716646f4441d08"},"schema_version":"1.0","source":{"id":"1605.06596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06596","created_at":"2026-05-18T01:10:29Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06596v2","created_at":"2026-05-18T01:10:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06596","created_at":"2026-05-18T01:10:29Z"},{"alias_kind":"pith_short_12","alias_value":"SQ4YQH5TGS44","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SQ4YQH5TGS44VLK6","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SQ4YQH5T","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:06fe6504b5495c766b1da8000d232bf55b77197579db4cfacc08a2c711c17fb5","target":"graph","created_at":"2026-05-18T01:10:29Z","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 establish a geometric interpretation of orientifold Donaldson-Thomas invariants of $\\sigma$-symmetric quivers with involution. More precisely, we prove that the cohomological orientifold Donaldson-Thomas invariant is isomorphic to the rational Chow group of the moduli space of $\\sigma$-stable self-dual quiver representations. As an application we prove that the Chow Betti numbers of moduli spaces of stable $m$-tuples in classical Lie algebras can be computed numerically. We also prove a cohomological wall-crossing formula relating semistable Hall modules for different stabilities.","authors_text":"Hans Franzen, Matthew B. Young","cross_cats":["hep-th","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-21T06:56:39Z","title":"Cohomological orientifold Donaldson-Thomas invariants as Chow groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06596","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:e35ded869a91de25bbfe0d09159f0522812eeb037246649f734d394d6a0a318b","target":"record","created_at":"2026-05-18T01:10:29Z","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":"77707463fad0433563d94015e82b0f709a8e36269e1816672e4df0c2557bc070","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-21T06:56:39Z","title_canon_sha256":"24a23ecb250b52f3b6ad0b82839fa63126de511a0c15e8878f716646f4441d08"},"schema_version":"1.0","source":{"id":"1605.06596","kind":"arxiv","version":2}},"canonical_sha256":"9439881fb334b9caad5eeb27276b40b9f69694e16f3101e66c34dac03cb5c6e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9439881fb334b9caad5eeb27276b40b9f69694e16f3101e66c34dac03cb5c6e6","first_computed_at":"2026-05-18T01:10:29.537763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:29.537763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"67pUcO1WcyuRtHivp+eO1ELxrvT/WFDBQmcV1RZrFJzpULNJkdsSdc7XTHegvkCUOxQ2zzXeM4qSD4+FjUMUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:29.538332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e35ded869a91de25bbfe0d09159f0522812eeb037246649f734d394d6a0a318b","sha256:06fe6504b5495c766b1da8000d232bf55b77197579db4cfacc08a2c711c17fb5"],"state_sha256":"eaaa5ba6be57cbbee604cb460d0324480c783f3f2052435de95cda70f7df350f"}