{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U47QS2YYH7RO5I4II226J7ENKW","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":"a1566c0c8c50c4ccbcd0356445d4b44b7ba043c6c46f7db91811f1862116ecb2","cross_cats_sorted":["math.AC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T15:01:49Z","title_canon_sha256":"0ac76da3a184810d0aafa084dc8c23b25ec5c175644864a5eb271bc522b10212"},"schema_version":"1.0","source":{"id":"2306.17003","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.17003","created_at":"2026-07-05T08:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"2306.17003v2","created_at":"2026-07-05T08:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.17003","created_at":"2026-07-05T08:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"U47QS2YYH7RO","created_at":"2026-07-05T08:50:07Z"},{"alias_kind":"pith_short_16","alias_value":"U47QS2YYH7RO5I4I","created_at":"2026-07-05T08:50:07Z"},{"alias_kind":"pith_short_8","alias_value":"U47QS2YY","created_at":"2026-07-05T08:50:07Z"}],"graph_snapshots":[{"event_id":"sha256:fe48efd34522e0cda16f29662d851c565eaacf4f36d4359531e4bc40e6e90c2e","target":"graph","created_at":"2026-07-05T08:50:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.17003/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and theoretical aspects and the other applications to existing theories.","authors_text":"Adrien Dubouloz, Arnaud Mayeux, Jo\\~ao Pedro dos Santos","cross_cats":["math.AC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T15:01:49Z","title":"A survey on algebraic dilatations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.17003","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:d2aca80ace9360c3fe2e59c11cd31c63eea8231f10a31d1852a619b59604ffa2","target":"record","created_at":"2026-07-05T08:50:07Z","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":"a1566c0c8c50c4ccbcd0356445d4b44b7ba043c6c46f7db91811f1862116ecb2","cross_cats_sorted":["math.AC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T15:01:49Z","title_canon_sha256":"0ac76da3a184810d0aafa084dc8c23b25ec5c175644864a5eb271bc522b10212"},"schema_version":"1.0","source":{"id":"2306.17003","kind":"arxiv","version":2}},"canonical_sha256":"a73f096b183fe2eea38846b5e4fc8d559a96777894753c46cb2e17ece72da4cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a73f096b183fe2eea38846b5e4fc8d559a96777894753c46cb2e17ece72da4cb","first_computed_at":"2026-07-05T08:50:07.174448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:50:07.174448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yLawMu/p1e65N3uGh3ZGmShc4++DkYs4gwQYjy8HT2TMb5fXKMyqhsGzbhJWtONoQdiZwY4iQFtY/jyr+H1jAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:50:07.174914Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.17003","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2aca80ace9360c3fe2e59c11cd31c63eea8231f10a31d1852a619b59604ffa2","sha256:fe48efd34522e0cda16f29662d851c565eaacf4f36d4359531e4bc40e6e90c2e"],"state_sha256":"6332565d09f172230c206c55130ecdeb27c759e5a0b1063df3e9c490db3ac6c7"}