{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3KWHSMHOWNHPOE2KADJAESLMV4","short_pith_number":"pith:3KWHSMHO","canonical_record":{"source":{"id":"1307.3030","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","cross_cats_sorted":[],"title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3","abstract_canon_sha256":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59"},"schema_version":"1.0"},"canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","source":{"kind":"arxiv","id":"1307.3030","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3030v2","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"3KWHSMHOWNHP","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3KWHSMHOWNHPOE2K","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3KWHSMHO","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3KWHSMHOWNHPOE2KADJAESLMV4","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3030","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","cross_cats_sorted":[],"title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3","abstract_canon_sha256":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59"},"schema_version":"1.0"},"canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:17.906997Z","signature_b64":"iYg6kHNkZOzg5EjZJjdb+0uti19xnMA/22G6S3PDo2hvrf2hmWyBozrkgftHDKXqouWwBU1C6vrclS0c9ZjhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","last_reissued_at":"2026-05-18T03:15:17.906096Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:17.906096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3030","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":"2026-05-18T03:15:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PNNwuJbq4dX3mxqyb5GdgX2IrrP6KUPQw7+6ZfBocCDXNqwgS5a2p4GUEE7vCWW58TYJqa1BNobKmR5l7HlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:37:51.825575Z"},"content_sha256":"1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac","schema_version":"1.0","event_id":"sha256:1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3KWHSMHOWNHPOE2KADJAESLMV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formal properties in small codimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jorge Caravantes, Nicolas Perrin","submitted_at":"2013-07-11T09:38:51Z","abstract_excerpt":"In this note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational homogeneous spaces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3030","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":"2026-05-18T03:15:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9h4AVU+fRya61swzIvtzJoyAa/YIIImGZtRyV2pe0kmJZ+zLxkNvZxS0zv2urVmiWGsMzjFpgFwXDO2cUYfbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:37:51.826229Z"},"content_sha256":"130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e","schema_version":"1.0","event_id":"sha256:130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KWHSMHOWNHPOE2KADJAESLMV4/bundle.json","state_url":"https://pith.science/pith/3KWHSMHOWNHPOE2KADJAESLMV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KWHSMHOWNHPOE2KADJAESLMV4/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":"2026-05-26T14:37:51Z","links":{"resolver":"https://pith.science/pith/3KWHSMHOWNHPOE2KADJAESLMV4","bundle":"https://pith.science/pith/3KWHSMHOWNHPOE2KADJAESLMV4/bundle.json","state":"https://pith.science/pith/3KWHSMHOWNHPOE2KADJAESLMV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KWHSMHOWNHPOE2KADJAESLMV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3KWHSMHOWNHPOE2KADJAESLMV4","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":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3"},"schema_version":"1.0","source":{"id":"1307.3030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3030v2","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3030","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"3KWHSMHOWNHP","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3KWHSMHOWNHPOE2K","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3KWHSMHO","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e","target":"graph","created_at":"2026-05-18T03:15:17Z","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 note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational homogeneous spaces","authors_text":"Jorge Caravantes, Nicolas Perrin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title":"Formal properties in small codimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3030","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":"sha256:1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac","target":"record","created_at":"2026-05-18T03:15:17Z","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":"bfc11cbdd66596cff72c841e28aa0a7bcfdeb739e511b7272e9e24aa8c6aac59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-11T09:38:51Z","title_canon_sha256":"2a8f7672db6b0c086d886cf4fdbb6108035cf957ec033228e51236e4682f9ee3"},"schema_version":"1.0","source":{"id":"1307.3030","kind":"arxiv","version":2}},"canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daac7930eeb34ef7134a00d202496caf343d02b4dc2c54feaf65db14baf331e0","first_computed_at":"2026-05-18T03:15:17.906096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:17.906096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iYg6kHNkZOzg5EjZJjdb+0uti19xnMA/22G6S3PDo2hvrf2hmWyBozrkgftHDKXqouWwBU1C6vrclS0c9ZjhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:17.906997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f3bc7bf3ef77669af83505f7608221746cdc327031cd49669664c6ab3ac96ac","sha256:130bc526ed9b21a0cd05d7d711c77d319b045a79d25cebfacb29fd76a4c8342e"],"state_sha256":"65c4baf12ba326f86e08754f709d942ff7267d3dec97f80d44fb121bdf050a93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LxmwfrkQrMQZGL3GMOAFwzjHgrRZKns7OWKD9xs1PvkfCV0MHAVdsvdN2yzzCYRr+guWJ7VLlgm/FombFq0gCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:37:51.829592Z","bundle_sha256":"35b037b188ac7ff923ec2bdffe2766dc2e4ae898b087376b0b58074bbfda3b68"}}