{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TQEY2VU3F57KW6U6GYTFNZ3QJF","short_pith_number":"pith:TQEY2VU3","canonical_record":{"source":{"id":"1306.0746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-04T12:34:08Z","cross_cats_sorted":[],"title_canon_sha256":"fdae8832c3de7f167f8581ff9e908c1eea49cb24f1a9f6832391faf65520f3f4","abstract_canon_sha256":"25e6caf50ee324b8f4ba8afa478fead66e2648517a37a0b3bc1343fb4835cd47"},"schema_version":"1.0"},"canonical_sha256":"9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344","source":{"kind":"arxiv","id":"1306.0746","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0746","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0746v2","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0746","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"TQEY2VU3F57K","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TQEY2VU3F57KW6U6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TQEY2VU3","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TQEY2VU3F57KW6U6GYTFNZ3QJF","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-04T12:34:08Z","cross_cats_sorted":[],"title_canon_sha256":"fdae8832c3de7f167f8581ff9e908c1eea49cb24f1a9f6832391faf65520f3f4","abstract_canon_sha256":"25e6caf50ee324b8f4ba8afa478fead66e2648517a37a0b3bc1343fb4835cd47"},"schema_version":"1.0"},"canonical_sha256":"9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:52.907573Z","signature_b64":"xikqiWChvnI9tsq2d/38u+kDAst+ywUP4MJog4Sw5xjYamQwo4n9/KVMBmjSWqGCDti5cwxY9QYUj1SOd1lODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344","last_reissued_at":"2026-05-18T02:57:52.907031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:52.907031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0746","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":"2026-05-18T02:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0wzcdJ87GfZW1JEUo+L71wFACOEQVWqJtIIWlO9GFZcpjphwGhXGR0nR2QTRf65wxRcjNerOfjGUlpAr4ipCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:02:38.127935Z"},"content_sha256":"ac1805724d81a603e036e8876e199726930121d7c39cd295bb387d2524f0c9e4","schema_version":"1.0","event_id":"sha256:ac1805724d81a603e036e8876e199726930121d7c39cd295bb387d2524f0c9e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TQEY2VU3F57KW6U6GYTFNZ3QJF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schwarzenberger bundles on smooth projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Enrique Arrondo, Helena Soares, Simone Marchesi","submitted_at":"2013-06-04T12:34:08Z","abstract_excerpt":"We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension of its jumping locus. We completely classify Steiner bundles whose set of jumping pairs have maximal dimension, proving that they are all Schwarzenberger bundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0746","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":"2026-05-18T02:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3JDAQnK4qu7G+IeHL1YyZLXJOZyG6ytNTV7Cc0YYfbydJPvoPJvuvvA4iIzymXAbLibV4zhUqBmDXLzN0leDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:02:38.128276Z"},"content_sha256":"6e81e7dc845db3dfdbbd0751b7027bd4af7e48896c441219549e82cf2b552045","schema_version":"1.0","event_id":"sha256:6e81e7dc845db3dfdbbd0751b7027bd4af7e48896c441219549e82cf2b552045"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/bundle.json","state_url":"https://pith.science/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/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":"2026-06-22T13:02:38Z","links":{"resolver":"https://pith.science/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF","bundle":"https://pith.science/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/bundle.json","state":"https://pith.science/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQEY2VU3F57KW6U6GYTFNZ3QJF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TQEY2VU3F57KW6U6GYTFNZ3QJF","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":"25e6caf50ee324b8f4ba8afa478fead66e2648517a37a0b3bc1343fb4835cd47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-04T12:34:08Z","title_canon_sha256":"fdae8832c3de7f167f8581ff9e908c1eea49cb24f1a9f6832391faf65520f3f4"},"schema_version":"1.0","source":{"id":"1306.0746","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0746","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0746v2","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0746","created_at":"2026-05-18T02:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"TQEY2VU3F57K","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TQEY2VU3F57KW6U6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TQEY2VU3","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:6e81e7dc845db3dfdbbd0751b7027bd4af7e48896c441219549e82cf2b552045","target":"graph","created_at":"2026-05-18T02:57:52Z","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":"We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension of its jumping locus. We completely classify Steiner bundles whose set of jumping pairs have maximal dimension, proving that they are all Schwarzenberger bundles.","authors_text":"Enrique Arrondo, Helena Soares, Simone Marchesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-04T12:34:08Z","title":"Schwarzenberger bundles on smooth projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0746","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:ac1805724d81a603e036e8876e199726930121d7c39cd295bb387d2524f0c9e4","target":"record","created_at":"2026-05-18T02:57:52Z","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":"25e6caf50ee324b8f4ba8afa478fead66e2648517a37a0b3bc1343fb4835cd47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-04T12:34:08Z","title_canon_sha256":"fdae8832c3de7f167f8581ff9e908c1eea49cb24f1a9f6832391faf65520f3f4"},"schema_version":"1.0","source":{"id":"1306.0746","kind":"arxiv","version":2}},"canonical_sha256":"9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c098d569b2f7eab7a9e362656e77049445e0df0ddbb46ca723ba5ff3b011344","first_computed_at":"2026-05-18T02:57:52.907031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:52.907031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xikqiWChvnI9tsq2d/38u+kDAst+ywUP4MJog4Sw5xjYamQwo4n9/KVMBmjSWqGCDti5cwxY9QYUj1SOd1lODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:52.907573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0746","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac1805724d81a603e036e8876e199726930121d7c39cd295bb387d2524f0c9e4","sha256:6e81e7dc845db3dfdbbd0751b7027bd4af7e48896c441219549e82cf2b552045"],"state_sha256":"ad9e349973a396e20eee93abd0803bc96ec47e06e81a209b0ebef18fd935b953"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3Z0pHHpYdQyWvJND9HPDXnNUQaGxT6b9h8t/1r+uyJ0p00zTuUcYO3r4lVn7i8zZQIgA1zii33rQQjimKVLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:02:38.130166Z","bundle_sha256":"aa37929467cceb0d01158925a887b6db4d0bf67d7a1d32458ca0c9a66ec90254"}}