{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XP3CXUJPRDKQCXB6SKPFV5WZYF","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":"e233d968388a7e864fe7287eb85c9fd5811f35af3789dcfde0a76d97b367087b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T16:27:07Z","title_canon_sha256":"9a54c9e0452fef00a8c9efc7c9017f0c61dbd30f00e14ca01a5a18b26892e5bb"},"schema_version":"1.0","source":{"id":"1009.5932","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5932","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5932v2","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5932","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"XP3CXUJPRDKQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XP3CXUJPRDKQCXB6","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XP3CXUJP","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:5b9377bb9f720725af4a8659b3d79ab064f8a23ab07af7c132e765e59c476de3","target":"graph","created_at":"2026-05-18T03:10:58Z","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 give some properties of the algebraic and geometric structure of the endomorphisms monoid of a homogeneous vector bundle.","authors_text":"Alvaro Rittatore, L. Brambila-Paz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T16:27:07Z","title":"The endomorphisms monoid of a homogeneous vector bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5932","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:fd8917dc164f2421642a052aeb802b8e774e7f659ccce915a2138670301c5897","target":"record","created_at":"2026-05-18T03:10:58Z","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":"e233d968388a7e864fe7287eb85c9fd5811f35af3789dcfde0a76d97b367087b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T16:27:07Z","title_canon_sha256":"9a54c9e0452fef00a8c9efc7c9017f0c61dbd30f00e14ca01a5a18b26892e5bb"},"schema_version":"1.0","source":{"id":"1009.5932","kind":"arxiv","version":2}},"canonical_sha256":"bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a","first_computed_at":"2026-05-18T03:10:58.704362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:58.704362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lyB3xOqaqyoSslKhbFRh5ookuGsziLpVAySy9r5PUbPuphdRasWXC/9y4tZrrHvGv2YG61px8bD0hurj+eScAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:58.705093Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5932","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd8917dc164f2421642a052aeb802b8e774e7f659ccce915a2138670301c5897","sha256:5b9377bb9f720725af4a8659b3d79ab064f8a23ab07af7c132e765e59c476de3"],"state_sha256":"bd14d7b2a4c27e3719dd154e70cc7a4dd5fb490ad33338e2d0d825bb62341bff"}