{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XPED2VQURSW37NHNUPTVAA2RES","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":"0cf7d898131f124be58e08bfffe5b2c48849a650871f973a001923d5e6e58892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-04T14:11:09Z","title_canon_sha256":"03fdc0517dbed43d3ff0247ba7944d77b5fec7d9aaa87a007d83c807330d9096"},"schema_version":"1.0","source":{"id":"1707.01002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01002","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01002v1","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01002","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"XPED2VQURSW3","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XPED2VQURSW37NHN","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XPED2VQU","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:bd60f235ac697c84b6a78d38a1bb8a89da8ec555256ef1e99e9eb9de7272dc36","target":"graph","created_at":"2026-05-18T00:40:56Z","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 prove a conjecture of Klopsch-Voll on the signed generating function of a new statistic on the quotients of the symmetric groups. As a consequence of our results we also prove a conjecture of Stasinski-Voll in type $B$.","authors_text":"Angela Carnevale, Francesco Brenti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-04T14:11:09Z","title":"Proof of a conjecture of Klopsch-Voll on Weyl groups of type $A$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01002","kind":"arxiv","version":1},"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:f0121654d21225269b1503c66ff58603194bb7b0880fd02229178aa1fbff59fd","target":"record","created_at":"2026-05-18T00:40:56Z","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":"0cf7d898131f124be58e08bfffe5b2c48849a650871f973a001923d5e6e58892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-04T14:11:09Z","title_canon_sha256":"03fdc0517dbed43d3ff0247ba7944d77b5fec7d9aaa87a007d83c807330d9096"},"schema_version":"1.0","source":{"id":"1707.01002","kind":"arxiv","version":1}},"canonical_sha256":"bbc83d56148cadbfb4eda3e750035124934ca3727943d6ba431b83795447b5f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbc83d56148cadbfb4eda3e750035124934ca3727943d6ba431b83795447b5f8","first_computed_at":"2026-05-18T00:40:56.433346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:56.433346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bO34GW1wi+J262gL6GPI6hdJsovh4nMe6KhE1eG8y93NhJUhRg087omkRTc2OBPtMi7ZRi0SRrtSnl3WBudfAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:56.433864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0121654d21225269b1503c66ff58603194bb7b0880fd02229178aa1fbff59fd","sha256:bd60f235ac697c84b6a78d38a1bb8a89da8ec555256ef1e99e9eb9de7272dc36"],"state_sha256":"e2b94dba4dc0f02722031aa3c09eaf3915aea2d2bfd0d8c0049abae17084c2c6"}