{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2JRGIKIHYZOBR7FH2TH5OUZSXS","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":"d1f9293a55afdc3e2e858adcec98b78991c085d15087dcfad7d74e96fa1569ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-10-12T09:18:02Z","title_canon_sha256":"90a694b501a35cfd3f4c7f094c8b9e658565f1a6f951b3055592698ae29479e0"},"schema_version":"1.0","source":{"id":"2310.08151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.08151","created_at":"2026-07-05T09:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"2310.08151v2","created_at":"2026-07-05T09:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08151","created_at":"2026-07-05T09:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"2JRGIKIHYZOB","created_at":"2026-07-05T09:57:38Z"},{"alias_kind":"pith_short_16","alias_value":"2JRGIKIHYZOBR7FH","created_at":"2026-07-05T09:57:38Z"},{"alias_kind":"pith_short_8","alias_value":"2JRGIKIH","created_at":"2026-07-05T09:57:38Z"}],"graph_snapshots":[{"event_id":"sha256:555e671dd636c43947ba84c56d4c79cd1cd7238766ad80da8f394889ecc5f4bb","target":"graph","created_at":"2026-07-05T09:57:38Z","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/2310.08151/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence, we prove that the splitting types of unsplit uniform $r$-bundles on $\\mathbb{P}^m$ can not be $(a_1,\\dots,a_1,a_2,\\dots,a_{r-k+1})$ for $1\\le k\\le m-2$.","authors_text":"Peng Ren, Xinyi Fang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-10-12T09:18:02Z","title":"Morphisms from $\\mathbb{P}^m$ to flag varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08151","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":"sha256:78d5fa4f668c7ea462d5544ef1f351ec04422c17b993f30bbb95af472ba1b316","target":"record","created_at":"2026-07-05T09:57:38Z","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":"d1f9293a55afdc3e2e858adcec98b78991c085d15087dcfad7d74e96fa1569ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-10-12T09:18:02Z","title_canon_sha256":"90a694b501a35cfd3f4c7f094c8b9e658565f1a6f951b3055592698ae29479e0"},"schema_version":"1.0","source":{"id":"2310.08151","kind":"arxiv","version":2}},"canonical_sha256":"d262642907c65c18fca7d4cfd75332bcbddaff10d32b78a4205d3b2965b1a1ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d262642907c65c18fca7d4cfd75332bcbddaff10d32b78a4205d3b2965b1a1ed","first_computed_at":"2026-07-05T09:57:38.024547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:38.024547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X6OGuUA5xR4n6EUgLXYoMJ+VYz3SKAVdnD8rwR5AezyqkLOSnTDWukPx7KtcEpk2w8QIO5U3rd3CgzweDMwLDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:38.025012Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.08151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78d5fa4f668c7ea462d5544ef1f351ec04422c17b993f30bbb95af472ba1b316","sha256:555e671dd636c43947ba84c56d4c79cd1cd7238766ad80da8f394889ecc5f4bb"],"state_sha256":"9f94c25d474d5480e0f459cb8cd67ba6ee96750e2405d8358fa48c144f72cef7"}