{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YM74257ISXQ65CFKSJMNJCO3AB","short_pith_number":"pith:YM74257I","canonical_record":{"source":{"id":"1809.10723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-27T18:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"28020bdf44278c9d41709f9b8c20a946ecf4a00825645b3a838460ef7a0373e4","abstract_canon_sha256":"35141e8b50601495f443ba650367fe8dc87e9e285279d1de0362632dcce85775"},"schema_version":"1.0"},"canonical_sha256":"c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c","source":{"kind":"arxiv","id":"1809.10723","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10723","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10723v1","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10723","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"YM74257ISXQ6","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YM74257ISXQ65CFK","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YM74257I","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YM74257ISXQ65CFKSJMNJCO3AB","target":"record","payload":{"canonical_record":{"source":{"id":"1809.10723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-27T18:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"28020bdf44278c9d41709f9b8c20a946ecf4a00825645b3a838460ef7a0373e4","abstract_canon_sha256":"35141e8b50601495f443ba650367fe8dc87e9e285279d1de0362632dcce85775"},"schema_version":"1.0"},"canonical_sha256":"c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:35.212389Z","signature_b64":"kdntMgODBigcZuX4jg+YuMjh/WOuoXFNcYuS1IYf+RME0AVD6Ah4aqp266aCCVqDu6DYB9gp8grXOGsjeBUHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c","last_reissued_at":"2026-05-18T00:04:35.211926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:35.211926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.10723","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BvAxoZEuMj1zp2hMXxmlit2GguZ8ASjGV+M5dm5n5D9wlBsOkzxmhlqNP7se5UuqPv9QuRyCIPtYB6TeJBvGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:46:40.399273Z"},"content_sha256":"2c715ece4def6ee9f483e08798356995cb5f206d7fe138901facc2c4ceb87aa5","schema_version":"1.0","event_id":"sha256:2c715ece4def6ee9f483e08798356995cb5f206d7fe138901facc2c4ceb87aa5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YM74257ISXQ65CFKSJMNJCO3AB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mumford's influence on the moduli theory of algebraic varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\'anos Koll\\'ar","submitted_at":"2018-09-27T18:56:30Z","abstract_excerpt":"We give a short appreciation of Mumford's work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose origins can be traced back to Mumford's ideas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10723","kind":"arxiv","version":1},"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":"2026-05-18T00:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j9HfmCxCcbvov9CAhaIxJSQPN04LSrlnrg+JgAfGZn79EKgThoBg2XiFHmTxikZFsHY6xo2H7vW/Mt4uP1w3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:46:40.399627Z"},"content_sha256":"ad2b1b9eba4a7b3620d1df6050545e95fec7d3de09e727d92be0d96402ff3ab5","schema_version":"1.0","event_id":"sha256:ad2b1b9eba4a7b3620d1df6050545e95fec7d3de09e727d92be0d96402ff3ab5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YM74257ISXQ65CFKSJMNJCO3AB/bundle.json","state_url":"https://pith.science/pith/YM74257ISXQ65CFKSJMNJCO3AB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YM74257ISXQ65CFKSJMNJCO3AB/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":"2026-06-05T10:46:40Z","links":{"resolver":"https://pith.science/pith/YM74257ISXQ65CFKSJMNJCO3AB","bundle":"https://pith.science/pith/YM74257ISXQ65CFKSJMNJCO3AB/bundle.json","state":"https://pith.science/pith/YM74257ISXQ65CFKSJMNJCO3AB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YM74257ISXQ65CFKSJMNJCO3AB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YM74257ISXQ65CFKSJMNJCO3AB","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":"35141e8b50601495f443ba650367fe8dc87e9e285279d1de0362632dcce85775","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-27T18:56:30Z","title_canon_sha256":"28020bdf44278c9d41709f9b8c20a946ecf4a00825645b3a838460ef7a0373e4"},"schema_version":"1.0","source":{"id":"1809.10723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10723","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10723v1","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10723","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"YM74257ISXQ6","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YM74257ISXQ65CFK","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YM74257I","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:ad2b1b9eba4a7b3620d1df6050545e95fec7d3de09e727d92be0d96402ff3ab5","target":"graph","created_at":"2026-05-18T00:04:35Z","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 give a short appreciation of Mumford's work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose origins can be traced back to Mumford's ideas.","authors_text":"J\\'anos Koll\\'ar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-27T18:56:30Z","title":"Mumford's influence on the moduli theory of algebraic varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10723","kind":"arxiv","version":1},"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":"sha256:2c715ece4def6ee9f483e08798356995cb5f206d7fe138901facc2c4ceb87aa5","target":"record","created_at":"2026-05-18T00:04:35Z","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":"35141e8b50601495f443ba650367fe8dc87e9e285279d1de0362632dcce85775","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-27T18:56:30Z","title_canon_sha256":"28020bdf44278c9d41709f9b8c20a946ecf4a00825645b3a838460ef7a0373e4"},"schema_version":"1.0","source":{"id":"1809.10723","kind":"arxiv","version":1}},"canonical_sha256":"c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c","first_computed_at":"2026-05-18T00:04:35.211926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:35.211926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kdntMgODBigcZuX4jg+YuMjh/WOuoXFNcYuS1IYf+RME0AVD6Ah4aqp266aCCVqDu6DYB9gp8grXOGsjeBUHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:35.212389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.10723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c715ece4def6ee9f483e08798356995cb5f206d7fe138901facc2c4ceb87aa5","sha256:ad2b1b9eba4a7b3620d1df6050545e95fec7d3de09e727d92be0d96402ff3ab5"],"state_sha256":"08b096796f4dacb9e1b0a853ba9cc13d90689594d433b143bb642e74eeb839a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R6y4T4ev7SL381TxG9HaPwYTrwxSHY4mn+C712e4/RiGYagGq6dDd3J7q0eS5DH3tzJZfRirSatnwqyuyBFwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:46:40.402111Z","bundle_sha256":"fec79647c2c8c310470e785d2cdcdd16ce57f94ebd0a97f7e093c9ac9b1a4aa9"}}