{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EW42E2LCEGO2QI52MDCJFVJNOM","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":"39ae444e1f006b3cd37d375e326ec6e1857063544d7a24135f69b1fd57458455","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.AG","submitted_at":"2005-07-08T12:47:17Z","title_canon_sha256":"28101ea920fc57af21a16efb6b019816edbe8cbcd31c7c8b768a90dc1c2b4469"},"schema_version":"1.0","source":{"id":"math/0507175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0507175","created_at":"2026-07-04T14:40:13Z"},{"alias_kind":"arxiv_version","alias_value":"math/0507175v1","created_at":"2026-07-04T14:40:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0507175","created_at":"2026-07-04T14:40:13Z"},{"alias_kind":"pith_short_12","alias_value":"EW42E2LCEGO2","created_at":"2026-07-04T14:40:13Z"},{"alias_kind":"pith_short_16","alias_value":"EW42E2LCEGO2QI52","created_at":"2026-07-04T14:40:13Z"},{"alias_kind":"pith_short_8","alias_value":"EW42E2LC","created_at":"2026-07-04T14:40:13Z"}],"graph_snapshots":[{"event_id":"sha256:0cc5e6178c17b54483665378f81c00b7cfa33cbf9320e98fe61acb2b173a2e9e","target":"graph","created_at":"2026-07-04T14:40:13Z","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/math/0507175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In \\cite{MW}, B. Moonen and the author defined a new invariant, called $F$-Zips, of certain varieties in positive characteristics. We showed that the isomorphism classes of these invariants can be interpreted as orbits of a certain variety $Z$ with an action of a reductive group $G$. In loc. cit. we gave a combinatorial description of the set of these orbits.\n  In this manuscript we give an explicit combinatorial recipe to decide which orbits are in the closure of a given orbit. We do this by relating $Z$ to a semi-linear variant of the wonderful compactification of $G$ constructed by de Conci","authors_text":"Torsten Wedhorn","cross_cats":["math.RT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-07-08T12:47:17Z","title":"Specialization of $F$-Zips"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0507175","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:a96ec6db68608b54a07f2a341124be20e49f64095a9ee9af49344fe2d4ba967b","target":"record","created_at":"2026-07-04T14:40:13Z","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":"39ae444e1f006b3cd37d375e326ec6e1857063544d7a24135f69b1fd57458455","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.AG","submitted_at":"2005-07-08T12:47:17Z","title_canon_sha256":"28101ea920fc57af21a16efb6b019816edbe8cbcd31c7c8b768a90dc1c2b4469"},"schema_version":"1.0","source":{"id":"math/0507175","kind":"arxiv","version":1}},"canonical_sha256":"25b9a26962219da823ba60c492d52d732e7626173ecb3f99c2b1881e0e5bea1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25b9a26962219da823ba60c492d52d732e7626173ecb3f99c2b1881e0e5bea1a","first_computed_at":"2026-07-04T14:40:13.434741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:40:13.434741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D4l+L4230aOIEqRotVUcPvJyzCHRXCWzJLdkOnNH3hYo3OsKIuO0NfJjttbrRofVXdJWOaXcZVT5TESRrGk4Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:40:13.435131Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0507175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a96ec6db68608b54a07f2a341124be20e49f64095a9ee9af49344fe2d4ba967b","sha256:0cc5e6178c17b54483665378f81c00b7cfa33cbf9320e98fe61acb2b173a2e9e"],"state_sha256":"9a2f55c6212fdb89c59e6eff32a541cea96e0ae8244d07cb313290ea7f76af4e"}