{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6JZP2EEXC333KGXCVDMF5234LQ","short_pith_number":"pith:6JZP2EEX","canonical_record":{"source":{"id":"1309.0880","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-04T00:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"863396de9e7c948e7cba69e2320074821f16ff99934f0019089ebe47610effba","abstract_canon_sha256":"1fe178a1d145c53ca4a318b3b83f700c718c12d733fa649844d23eee83bb27c9"},"schema_version":"1.0"},"canonical_sha256":"f272fd109716f7b51ae2a8d85eeb7c5c0f02593f6140e5b5312f59fde8b0278c","source":{"kind":"arxiv","id":"1309.0880","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0880","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0880v2","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0880","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"pith_short_12","alias_value":"6JZP2EEXC333","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6JZP2EEXC333KGXC","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6JZP2EEX","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6JZP2EEXC333KGXCVDMF5234LQ","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0880","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-04T00:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"863396de9e7c948e7cba69e2320074821f16ff99934f0019089ebe47610effba","abstract_canon_sha256":"1fe178a1d145c53ca4a318b3b83f700c718c12d733fa649844d23eee83bb27c9"},"schema_version":"1.0"},"canonical_sha256":"f272fd109716f7b51ae2a8d85eeb7c5c0f02593f6140e5b5312f59fde8b0278c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:58.105756Z","signature_b64":"kzbjEuq/YEMZNow3peFhQuiC8WDOp3DjqCMsRfcB1X29NBGKIXYIvf4vzzYNhY3c9XwezE46oOLufGpww78VAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f272fd109716f7b51ae2a8d85eeb7c5c0f02593f6140e5b5312f59fde8b0278c","last_reissued_at":"2026-05-18T01:22:58.105142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:58.105142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0880","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":"2026-05-18T01:22:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tdxABWw7TBhm63eGXqy06aN438L2tzg380u9xOjzf7HFv8EiBxiNVJMOaY7oo4U4cefg1Tg+pqC6xeZl2e+xAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:50:23.797195Z"},"content_sha256":"ce53ba72f35f520ec58385f66ea9b8c19dca6ab11b5fa8434c24c41097cf3b10","schema_version":"1.0","event_id":"sha256:ce53ba72f35f520ec58385f66ea9b8c19dca6ab11b5fa8434c24c41097cf3b10"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6JZP2EEXC333KGXCVDMF5234LQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic behavior of the dimension of the Chow variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Brian Lehmann","submitted_at":"2013-09-04T00:37:18Z","abstract_excerpt":"We analyze the asymptotics of the dimension of components of the Chow variety as degree increases. By analogy with the divisor case, the main goal is to relate the asymptotic behavior with the positivity of the corresponding cycle classes. We also compute the dimension of the Chow variety of projective space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0880","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":"2026-05-18T01:22:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qN59M6WIQ/ixC0P7A9d2lHi+KWj/ANsLWTxxdUFtxb8p8nhqnio6QMnlrXYARiXqQFF80Gi4QvRVzGffkIJsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:50:23.797928Z"},"content_sha256":"5c6f4a2c9354a446de065b3cbc0a3b2d852623086a34b3d1e3b3173624e01e8a","schema_version":"1.0","event_id":"sha256:5c6f4a2c9354a446de065b3cbc0a3b2d852623086a34b3d1e3b3173624e01e8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JZP2EEXC333KGXCVDMF5234LQ/bundle.json","state_url":"https://pith.science/pith/6JZP2EEXC333KGXCVDMF5234LQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JZP2EEXC333KGXCVDMF5234LQ/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":"2026-06-05T04:50:23Z","links":{"resolver":"https://pith.science/pith/6JZP2EEXC333KGXCVDMF5234LQ","bundle":"https://pith.science/pith/6JZP2EEXC333KGXCVDMF5234LQ/bundle.json","state":"https://pith.science/pith/6JZP2EEXC333KGXCVDMF5234LQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JZP2EEXC333KGXCVDMF5234LQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6JZP2EEXC333KGXCVDMF5234LQ","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":"1fe178a1d145c53ca4a318b3b83f700c718c12d733fa649844d23eee83bb27c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-04T00:37:18Z","title_canon_sha256":"863396de9e7c948e7cba69e2320074821f16ff99934f0019089ebe47610effba"},"schema_version":"1.0","source":{"id":"1309.0880","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0880","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0880v2","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0880","created_at":"2026-05-18T01:22:58Z"},{"alias_kind":"pith_short_12","alias_value":"6JZP2EEXC333","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6JZP2EEXC333KGXC","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6JZP2EEX","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:5c6f4a2c9354a446de065b3cbc0a3b2d852623086a34b3d1e3b3173624e01e8a","target":"graph","created_at":"2026-05-18T01:22:58Z","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":"We analyze the asymptotics of the dimension of components of the Chow variety as degree increases. By analogy with the divisor case, the main goal is to relate the asymptotic behavior with the positivity of the corresponding cycle classes. We also compute the dimension of the Chow variety of projective space.","authors_text":"Brian Lehmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-04T00:37:18Z","title":"Asymptotic behavior of the dimension of the Chow variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0880","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:ce53ba72f35f520ec58385f66ea9b8c19dca6ab11b5fa8434c24c41097cf3b10","target":"record","created_at":"2026-05-18T01:22:58Z","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":"1fe178a1d145c53ca4a318b3b83f700c718c12d733fa649844d23eee83bb27c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-04T00:37:18Z","title_canon_sha256":"863396de9e7c948e7cba69e2320074821f16ff99934f0019089ebe47610effba"},"schema_version":"1.0","source":{"id":"1309.0880","kind":"arxiv","version":2}},"canonical_sha256":"f272fd109716f7b51ae2a8d85eeb7c5c0f02593f6140e5b5312f59fde8b0278c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f272fd109716f7b51ae2a8d85eeb7c5c0f02593f6140e5b5312f59fde8b0278c","first_computed_at":"2026-05-18T01:22:58.105142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:58.105142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kzbjEuq/YEMZNow3peFhQuiC8WDOp3DjqCMsRfcB1X29NBGKIXYIvf4vzzYNhY3c9XwezE46oOLufGpww78VAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:58.105756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0880","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce53ba72f35f520ec58385f66ea9b8c19dca6ab11b5fa8434c24c41097cf3b10","sha256:5c6f4a2c9354a446de065b3cbc0a3b2d852623086a34b3d1e3b3173624e01e8a"],"state_sha256":"38dab900a6a82505e514ea17773b8fb1ed2e2398c7360421ed3f5747313a5749"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prMp24EWptG+VAHlrNIVUO1hyRweIfCx7aCb5P1DS7TKHlB/NHAh1FOTeGjmgJZwUnOZo0pK31A8D3PjZlGJAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T04:50:23.801622Z","bundle_sha256":"4226412534713137b6fcd7036299bab769c15b5e42143e62351dd21d0e5b7958"}}