{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RE3QL6JJ5MZWZZB3H42W6F2KSZ","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":"1ce1141b23c40c80c58eb8a4d2b4ceee375759038e52d0bf41b441b708b7b98c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-23T02:34:58Z","title_canon_sha256":"84e1c2ae096494679639f011a3a4fb8538ca222a13ebd642ff8bed0c6da419e9"},"schema_version":"1.0","source":{"id":"2504.16365","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.16365","created_at":"2026-07-05T10:52:45Z"},{"alias_kind":"arxiv_version","alias_value":"2504.16365v1","created_at":"2026-07-05T10:52:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16365","created_at":"2026-07-05T10:52:45Z"},{"alias_kind":"pith_short_12","alias_value":"RE3QL6JJ5MZW","created_at":"2026-07-05T10:52:45Z"},{"alias_kind":"pith_short_16","alias_value":"RE3QL6JJ5MZWZZB3","created_at":"2026-07-05T10:52:45Z"},{"alias_kind":"pith_short_8","alias_value":"RE3QL6JJ","created_at":"2026-07-05T10:52:45Z"}],"graph_snapshots":[{"event_id":"sha256:5d4e15ee074489c8e1a8f897a98a90c4d8c619d2432b2483a88ce3de5ddb4c51","target":"graph","created_at":"2026-07-05T10:52:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.16365/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a theory of nearby and vanishing cycles in the context of finite-coefficient Zariski-constructible sheaves over a non-archimedean field which is non-trivially valued, complete, algebraically closed, and of mixed characteristic or equal characteristic zero. Apart from basic properties, we show that they preserve Zariski-constructibility, have a Milnor fibre interpretation, satisfy Beilinson's gluing construction, are perverse t-exact, and commute with Verdier duality.","authors_text":"Tong Zhou","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-23T02:34:58Z","title":"Vanishing Cycles for Zariski-Constructible Sheaves on Rigid Analytic Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16365","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":"sha256:513c65573d6853ffde4db6d497f2b311a9ad80453faf72898a1fa073bc8bbecc","target":"record","created_at":"2026-07-05T10:52:45Z","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":"1ce1141b23c40c80c58eb8a4d2b4ceee375759038e52d0bf41b441b708b7b98c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-23T02:34:58Z","title_canon_sha256":"84e1c2ae096494679639f011a3a4fb8538ca222a13ebd642ff8bed0c6da419e9"},"schema_version":"1.0","source":{"id":"2504.16365","kind":"arxiv","version":1}},"canonical_sha256":"893705f929eb336ce43b3f356f174a967835eb56e90c00400eea695b414e5ebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"893705f929eb336ce43b3f356f174a967835eb56e90c00400eea695b414e5ebc","first_computed_at":"2026-07-05T10:52:45.583210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:45.583210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCh/qKs5LHVRnsp9Ek43mR4PkSZVo7rgQSof/F96Du73IWK7BUYxv+3VawRggk2ufQJZ5zOXSZaRmxLjmQXNCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:45.583676Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.16365","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:513c65573d6853ffde4db6d497f2b311a9ad80453faf72898a1fa073bc8bbecc","sha256:5d4e15ee074489c8e1a8f897a98a90c4d8c619d2432b2483a88ce3de5ddb4c51"],"state_sha256":"664aef43a9ef06def3e2afd2671502595c44bbab86ac2e2e394eb1ec370f95c9"}