{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OSJ4CAIZIZNU2LLVLVA25I5RUO","short_pith_number":"pith:OSJ4CAIZ","canonical_record":{"source":{"id":"2608.03258","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-04T07:31:15Z","cross_cats_sorted":[],"title_canon_sha256":"549aea21bcaf08d8e68956f90c43c7b981e253d77e913d2a178362935bfe2453","abstract_canon_sha256":"333eb71a4502642a0d31d10599b26f53f1db649a7cc8a1c1fdee6191a0c7b8e9"},"schema_version":"1.0"},"canonical_sha256":"7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda","source":{"kind":"arxiv","id":"2608.03258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03258","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03258v1","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03258","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"OSJ4CAIZIZNU","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_16","alias_value":"OSJ4CAIZIZNU2LLV","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_8","alias_value":"OSJ4CAIZ","created_at":"2026-08-05T00:46:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OSJ4CAIZIZNU2LLVLVA25I5RUO","target":"record","payload":{"canonical_record":{"source":{"id":"2608.03258","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-04T07:31:15Z","cross_cats_sorted":[],"title_canon_sha256":"549aea21bcaf08d8e68956f90c43c7b981e253d77e913d2a178362935bfe2453","abstract_canon_sha256":"333eb71a4502642a0d31d10599b26f53f1db649a7cc8a1c1fdee6191a0c7b8e9"},"schema_version":"1.0"},"canonical_sha256":"7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T00:46:26.111042Z","signature_b64":"CYoUG6AdVz2jEtVuxcGyuGeDUbukeDSakk3lNrSTaf2M2SrUAgTcafjr0n6np0/HW/0SpMAwceLZEIJrl/mNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda","last_reissued_at":"2026-08-05T00:46:26.108588Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T00:46:26.108588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.03258","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":"2026-08-05T00:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMcs90/Punz69t7bDL8TGrVG9wUgJs5tK8mxOHLPjxd5wfdlUiPsk963UMcjHr6k7ZyyD23NTv6y+Us79KEEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T03:27:31.094367Z"},"content_sha256":"d599334cc6c8e5ee09c858c4e9d02be14a9324c56f5faecb3e3dada0647b81bb","schema_version":"1.0","event_id":"sha256:d599334cc6c8e5ee09c858c4e9d02be14a9324c56f5faecb3e3dada0647b81bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OSJ4CAIZIZNU2LLVLVA25I5RUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A klt generalized pair with infinitely generated canonical ring","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jihao Liu, Yanze Wang","submitted_at":"2026-08-04T07:31:15Z","abstract_excerpt":"We construct a projective klt generalized pair over the complex numbers whose generalized log canonical ring is not finitely generated. The main result of this paper is obtained by generative AI, particularly GPT-5.6-sol-ultra, Fable 5, and the Danus system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03258","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.03258/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-05T00:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZWAjmWu/DigsBPdMgYeMmzu96ynpFoovx2J3SXX/caDRVBUcbq+JHyBg8ZRaJFYn1sSV6wEXxgcgzdfj6gxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T03:27:31.094908Z"},"content_sha256":"7547b77bfd51a7cdac9f09fe6d42905c2597903e7c3dd7b1b6248c7e5c26fd02","schema_version":"1.0","event_id":"sha256:7547b77bfd51a7cdac9f09fe6d42905c2597903e7c3dd7b1b6248c7e5c26fd02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/bundle.json","state_url":"https://pith.science/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/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":"2026-08-20T03:27:31Z","links":{"resolver":"https://pith.science/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO","bundle":"https://pith.science/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/bundle.json","state":"https://pith.science/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OSJ4CAIZIZNU2LLVLVA25I5RUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OSJ4CAIZIZNU2LLVLVA25I5RUO","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":"333eb71a4502642a0d31d10599b26f53f1db649a7cc8a1c1fdee6191a0c7b8e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-04T07:31:15Z","title_canon_sha256":"549aea21bcaf08d8e68956f90c43c7b981e253d77e913d2a178362935bfe2453"},"schema_version":"1.0","source":{"id":"2608.03258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03258","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03258v1","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03258","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"OSJ4CAIZIZNU","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_16","alias_value":"OSJ4CAIZIZNU2LLV","created_at":"2026-08-05T00:46:26Z"},{"alias_kind":"pith_short_8","alias_value":"OSJ4CAIZ","created_at":"2026-08-05T00:46:26Z"}],"graph_snapshots":[{"event_id":"sha256:7547b77bfd51a7cdac9f09fe6d42905c2597903e7c3dd7b1b6248c7e5c26fd02","target":"graph","created_at":"2026-08-05T00:46:26Z","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/2608.03258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a projective klt generalized pair over the complex numbers whose generalized log canonical ring is not finitely generated. The main result of this paper is obtained by generative AI, particularly GPT-5.6-sol-ultra, Fable 5, and the Danus system.","authors_text":"Jihao Liu, Yanze Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-04T07:31:15Z","title":"A klt generalized pair with infinitely generated canonical ring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03258","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:d599334cc6c8e5ee09c858c4e9d02be14a9324c56f5faecb3e3dada0647b81bb","target":"record","created_at":"2026-08-05T00:46:26Z","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":"333eb71a4502642a0d31d10599b26f53f1db649a7cc8a1c1fdee6191a0c7b8e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-04T07:31:15Z","title_canon_sha256":"549aea21bcaf08d8e68956f90c43c7b981e253d77e913d2a178362935bfe2453"},"schema_version":"1.0","source":{"id":"2608.03258","kind":"arxiv","version":1}},"canonical_sha256":"7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda","first_computed_at":"2026-08-05T00:46:26.108588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T00:46:26.108588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CYoUG6AdVz2jEtVuxcGyuGeDUbukeDSakk3lNrSTaf2M2SrUAgTcafjr0n6np0/HW/0SpMAwceLZEIJrl/mNBg==","signature_status":"signed_v1","signed_at":"2026-08-05T00:46:26.111042Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.03258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d599334cc6c8e5ee09c858c4e9d02be14a9324c56f5faecb3e3dada0647b81bb","sha256:7547b77bfd51a7cdac9f09fe6d42905c2597903e7c3dd7b1b6248c7e5c26fd02"],"state_sha256":"ff1e62cad8f99231d80862fc7f5024747dad1c2b283e4c567740e30403666195"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmbJoI236yd7mdQZJBss0lSH6Yq7xzo6L5KS4wcf3bO3QtVMAZ4ZOGU9JU6av6y7AVUG+gm21LcnUT837UlMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T03:27:31.098768Z","bundle_sha256":"ac89775ff3cdf9247120e8aa3ef9df3e41aaf3158cabaa7b152496b7e5d9d9f2"}}