{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:N3SQ3HZAPSCS6FF3ZFSD5FHQYM","short_pith_number":"pith:N3SQ3HZA","canonical_record":{"source":{"id":"1104.3091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-04-15T15:46:58Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b5dcb5b451a626c3a8db65e3125877d36c1afc4dbd89d5f441cdd3529d120c3a","abstract_canon_sha256":"7137fcb9f6a7afc1d326711dafcf7b699934f375a0c59cc8207b412437ec82c1"},"schema_version":"1.0"},"canonical_sha256":"6ee50d9f207c852f14bbc9643e94f0c3072a4cb6695a50703f1613aa6a86ee12","source":{"kind":"arxiv","id":"1104.3091","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3091","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3091v2","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3091","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"N3SQ3HZAPSCS","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"N3SQ3HZAPSCS6FF3","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"N3SQ3HZA","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:N3SQ3HZAPSCS6FF3ZFSD5FHQYM","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-04-15T15:46:58Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b5dcb5b451a626c3a8db65e3125877d36c1afc4dbd89d5f441cdd3529d120c3a","abstract_canon_sha256":"7137fcb9f6a7afc1d326711dafcf7b699934f375a0c59cc8207b412437ec82c1"},"schema_version":"1.0"},"canonical_sha256":"6ee50d9f207c852f14bbc9643e94f0c3072a4cb6695a50703f1613aa6a86ee12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:54.972949Z","signature_b64":"R1ARoljD9DsC5pXRb5XHnbZCMKfwn04Vt2WXpuiVywxRQQGF1MWDkkIb9Hy6cBhoSfVJmCl5fHiEI/KXvQGfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ee50d9f207c852f14bbc9643e94f0c3072a4cb6695a50703f1613aa6a86ee12","last_reissued_at":"2026-05-18T04:06:54.972225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:54.972225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3091","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":"2026-05-18T04:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3pcWHh9Z+jrveAfjs0/UxPcC4gpOyG345T6zyfP6EQ/sP5sBgm6Vfhs/VG3FDCzrBXl1X5BriqxqD6/NTppOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:20:57.232121Z"},"content_sha256":"f27bccfa7b2be924bae4e2adc7848a7bd181998342148db78901b7840865eb94","schema_version":"1.0","event_id":"sha256:f27bccfa7b2be924bae4e2adc7848a7bd181998342148db78901b7840865eb94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:N3SQ3HZAPSCS6FF3ZFSD5FHQYM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fubini-Griffiths-Harris rigidity of homogeneous varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"C. Robles, J. M. Landsberg","submitted_at":"2011-04-15T15:46:58Z","abstract_excerpt":"Upper bounds on projective rigidity of each homogeneously embedded homogeneous variety are determined; and a new, invariant characterization of the Fubini forms is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3091","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":"2026-05-18T04:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTYE+bSXuIBAE5y2gdG/vkVUocqCiFs1PHH4Nc2h25eSZM3y5jkjBIjAPIntHV5krM3YMp7DGcOjZHIk+n2qAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:20:57.232752Z"},"content_sha256":"7bcc55479b2ea17ae10d6c47f3b420fd004a36e4afd7c10c1c98bb1c6a8f8255","schema_version":"1.0","event_id":"sha256:7bcc55479b2ea17ae10d6c47f3b420fd004a36e4afd7c10c1c98bb1c6a8f8255"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/bundle.json","state_url":"https://pith.science/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/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":"2026-05-31T10:20:57Z","links":{"resolver":"https://pith.science/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM","bundle":"https://pith.science/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/bundle.json","state":"https://pith.science/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3SQ3HZAPSCS6FF3ZFSD5FHQYM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:N3SQ3HZAPSCS6FF3ZFSD5FHQYM","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":"7137fcb9f6a7afc1d326711dafcf7b699934f375a0c59cc8207b412437ec82c1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-04-15T15:46:58Z","title_canon_sha256":"b5dcb5b451a626c3a8db65e3125877d36c1afc4dbd89d5f441cdd3529d120c3a"},"schema_version":"1.0","source":{"id":"1104.3091","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3091","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3091v2","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3091","created_at":"2026-05-18T04:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"N3SQ3HZAPSCS","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"N3SQ3HZAPSCS6FF3","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"N3SQ3HZA","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:7bcc55479b2ea17ae10d6c47f3b420fd004a36e4afd7c10c1c98bb1c6a8f8255","target":"graph","created_at":"2026-05-18T04:06:54Z","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":"Upper bounds on projective rigidity of each homogeneously embedded homogeneous variety are determined; and a new, invariant characterization of the Fubini forms is given.","authors_text":"C. Robles, J. M. Landsberg","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-04-15T15:46:58Z","title":"Fubini-Griffiths-Harris rigidity of homogeneous varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3091","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:f27bccfa7b2be924bae4e2adc7848a7bd181998342148db78901b7840865eb94","target":"record","created_at":"2026-05-18T04:06:54Z","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":"7137fcb9f6a7afc1d326711dafcf7b699934f375a0c59cc8207b412437ec82c1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-04-15T15:46:58Z","title_canon_sha256":"b5dcb5b451a626c3a8db65e3125877d36c1afc4dbd89d5f441cdd3529d120c3a"},"schema_version":"1.0","source":{"id":"1104.3091","kind":"arxiv","version":2}},"canonical_sha256":"6ee50d9f207c852f14bbc9643e94f0c3072a4cb6695a50703f1613aa6a86ee12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ee50d9f207c852f14bbc9643e94f0c3072a4cb6695a50703f1613aa6a86ee12","first_computed_at":"2026-05-18T04:06:54.972225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:54.972225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R1ARoljD9DsC5pXRb5XHnbZCMKfwn04Vt2WXpuiVywxRQQGF1MWDkkIb9Hy6cBhoSfVJmCl5fHiEI/KXvQGfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:54.972949Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3091","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f27bccfa7b2be924bae4e2adc7848a7bd181998342148db78901b7840865eb94","sha256:7bcc55479b2ea17ae10d6c47f3b420fd004a36e4afd7c10c1c98bb1c6a8f8255"],"state_sha256":"619411c561ac24aa927dad7e9b4d69eadca318d2814a0ce8c1ae850c62c66b3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDOQdniz6a23W9nRQuKh05CfEx4zg6+cImOWqX+w2Xq8Ksk7amJ4EYT/jwXiKrDgByBw5bDEMQ8Ar2/U8qVpBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:20:57.235802Z","bundle_sha256":"6c9af75a65db5605a016c5c69a0d5baeb911c7d4b0029868056a1149f832c3e9"}}