{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3R77CGPBGNJ4LUXX27SWZGIBJQ","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":"8fc13dbb7b9f0cc8d340ec43496d9a2bb597d78480581c116a60c1dd2989d4a4","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-12T10:53:34Z","title_canon_sha256":"88e47e5df7aed9471fa9e76de543b0542280ec5d2a042765b12e42ece4b57ebb"},"schema_version":"1.0","source":{"id":"1511.03852","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03852","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03852v2","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03852","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"3R77CGPBGNJ4","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3R77CGPBGNJ4LUXX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3R77CGPB","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:ff91180242f6239010df4452bde635047a677ae7d9030b461b27e680048f2081","target":"graph","created_at":"2026-05-17T23:51:00Z","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":"In this paper we determine the stringy motivic volume of log terminal horospherical $G$-varieties of complexity one, where $G$ is a connected reductive linear algebraic group. The stringy motivic volume of a log terminal variety is an invariant of singularities which was introduced by Batyrev and plays an important role in mirror symmetry for Calabi--Yau varieties. A horospherical $G$-variety of complexity one is a normal $G$-variety which is equivariantly birational to a product $C \\times G/H$, where $C$ is a smooth projective curve and the closed subgroup $H$ contains a maximal unipotent sub","authors_text":"Cl\\'elia Pech, Kevin Langlois, Michel Raibaut","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-12T10:53:34Z","title":"Stringy invariants for horospherical varieties of complexity one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03852","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":"sha256:15e53019ae4b93dc1d7cbbdfda2e848119214d13aca0eacff2307388b44e74e4","target":"record","created_at":"2026-05-17T23:51:00Z","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":"8fc13dbb7b9f0cc8d340ec43496d9a2bb597d78480581c116a60c1dd2989d4a4","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-12T10:53:34Z","title_canon_sha256":"88e47e5df7aed9471fa9e76de543b0542280ec5d2a042765b12e42ece4b57ebb"},"schema_version":"1.0","source":{"id":"1511.03852","kind":"arxiv","version":2}},"canonical_sha256":"dc7ff119e13353c5d2f7d7e56c99014c386afc1968731125af2a44be7bcf13cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc7ff119e13353c5d2f7d7e56c99014c386afc1968731125af2a44be7bcf13cb","first_computed_at":"2026-05-17T23:51:00.653512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.653512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Df453bQkoU1gEC6e+Ut4QT4o9Ihf7q34yTZJMH4Tl3iwweqt3jUy9nFOKJ96oOm5UoCEjzGx/kVoM/PmGO/4CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.654241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03852","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15e53019ae4b93dc1d7cbbdfda2e848119214d13aca0eacff2307388b44e74e4","sha256:ff91180242f6239010df4452bde635047a677ae7d9030b461b27e680048f2081"],"state_sha256":"dadd6ed65899f3549fdf606d706f8539051d87e10f4b2d06ac1875301bcd7d8c"}