{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XP3CXUJPRDKQCXB6SKPFV5WZYF","short_pith_number":"pith:XP3CXUJP","canonical_record":{"source":{"id":"1009.5932","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T16:27:07Z","cross_cats_sorted":[],"title_canon_sha256":"9a54c9e0452fef00a8c9efc7c9017f0c61dbd30f00e14ca01a5a18b26892e5bb","abstract_canon_sha256":"e233d968388a7e864fe7287eb85c9fd5811f35af3789dcfde0a76d97b367087b"},"schema_version":"1.0"},"canonical_sha256":"bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a","source":{"kind":"arxiv","id":"1009.5932","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XP3CXUJPRDKQCXB6SKPFV5WZYF","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5932","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-09-29T16:27:07Z","cross_cats_sorted":[],"title_canon_sha256":"9a54c9e0452fef00a8c9efc7c9017f0c61dbd30f00e14ca01a5a18b26892e5bb","abstract_canon_sha256":"e233d968388a7e864fe7287eb85c9fd5811f35af3789dcfde0a76d97b367087b"},"schema_version":"1.0"},"canonical_sha256":"bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:58.705093Z","signature_b64":"lyB3xOqaqyoSslKhbFRh5ookuGsziLpVAySy9r5PUbPuphdRasWXC/9y4tZrrHvGv2YG61px8bD0hurj+eScAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbf62bd12f88d5015c3e929e5af6d9c147e7d9512f04f0b6db508b4f2e192a7a","last_reissued_at":"2026-05-18T03:10:58.704362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:58.704362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5932","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VZrbhfCMh0Odop8PZ8FJ+Aj90ja6i96Fd5CPC0BbQG48OaDe7wuGIKSgkhXF306NpsnxsjbXTq7r3n1y2eaaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:29:23.032000Z"},"content_sha256":"fd8917dc164f2421642a052aeb802b8e774e7f659ccce915a2138670301c5897","schema_version":"1.0","event_id":"sha256:fd8917dc164f2421642a052aeb802b8e774e7f659ccce915a2138670301c5897"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XP3CXUJPRDKQCXB6SKPFV5WZYF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The endomorphisms monoid of a homogeneous vector bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alvaro Rittatore, L. Brambila-Paz","submitted_at":"2010-09-29T16:27:07Z","abstract_excerpt":"In this paper we give some properties of the algebraic and geometric structure of the endomorphisms monoid of a homogeneous vector bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5932","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWOLN3DrpqFogMgICRAy5T/ygvQizlIQaVbd4Emz3ant3cqu58rmZj8rS5NDcpfhPVPYo0Dr+NBNO9QYdNahDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:29:23.032350Z"},"content_sha256":"5b9377bb9f720725af4a8659b3d79ab064f8a23ab07af7c132e765e59c476de3","schema_version":"1.0","event_id":"sha256:5b9377bb9f720725af4a8659b3d79ab064f8a23ab07af7c132e765e59c476de3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/bundle.json","state_url":"https://pith.science/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T03:29:23Z","links":{"resolver":"https://pith.science/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF","bundle":"https://pith.science/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/bundle.json","state":"https://pith.science/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XP3CXUJPRDKQCXB6SKPFV5WZYF/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/8Hkh8QMEKi97+TsDwG66a7LRp1s5wRFrS1O2zUpZa5p/i++k0VBXASp7OKRSiWTwGj2fJkmRYgftAI0i3KkDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:29:23.034158Z","bundle_sha256":"3088e86012f6c4e8d1bb640883354ab30eaeaeabcd583050291b445c0021ac03"}}