{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:3YLJOJZEKK6Y26XFDWUO6U72KI","short_pith_number":"pith:3YLJOJZE","canonical_record":{"source":{"id":"2302.03095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-06T19:53:05Z","cross_cats_sorted":[],"title_canon_sha256":"9db6449da4fa94320d9f469a63d891a14cc868c739654cb2dc6d33065fdb765a","abstract_canon_sha256":"f74cfc4d9ccbd200833c508f048ae8d7dcd03555e6047df1c8e67bed0231ab19"},"schema_version":"1.0"},"canonical_sha256":"de1697272452bd8d7ae51da8ef53fa5211d2894107725f6f10385d38d401b4f1","source":{"kind":"arxiv","id":"2302.03095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.03095","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"2302.03095v1","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.03095","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"3YLJOJZEKK6Y","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_16","alias_value":"3YLJOJZEKK6Y26XF","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_8","alias_value":"3YLJOJZE","created_at":"2026-07-05T11:17:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:3YLJOJZEKK6Y26XFDWUO6U72KI","target":"record","payload":{"canonical_record":{"source":{"id":"2302.03095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-06T19:53:05Z","cross_cats_sorted":[],"title_canon_sha256":"9db6449da4fa94320d9f469a63d891a14cc868c739654cb2dc6d33065fdb765a","abstract_canon_sha256":"f74cfc4d9ccbd200833c508f048ae8d7dcd03555e6047df1c8e67bed0231ab19"},"schema_version":"1.0"},"canonical_sha256":"de1697272452bd8d7ae51da8ef53fa5211d2894107725f6f10385d38d401b4f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:30.143651Z","signature_b64":"8QNrPi8zGbhog3GWPwGKhkxQbmAqM478N7v9tCmubxR3tQpAZNpZCBjSZfgiXYzVoslLXFiY7kme+Rh4rVWaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de1697272452bd8d7ae51da8ef53fa5211d2894107725f6f10385d38d401b4f1","last_reissued_at":"2026-07-05T11:17:30.143179Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:30.143179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.03095","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":"2026-07-05T11:17:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LKqtaTx6+OY3KrW02AlPTjWSdusNsuHreaiR+xVOEwXeMDHBXrnH8EJkZV8TF2NhbFjGXipQ7TwbcniyeA+YCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:04:14.007780Z"},"content_sha256":"8dfbf35bbad65ebffb85f44a1b822ed12ef36570a62cb6171e05443f37f07c55","schema_version":"1.0","event_id":"sha256:8dfbf35bbad65ebffb85f44a1b822ed12ef36570a62cb6171e05443f37f07c55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:3YLJOJZEKK6Y26XFDWUO6U72KI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classifying log del Pezzo surfaces with torus action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Haettig, Juergen Hausen, Justus Springer","submitted_at":"2023-02-06T19:53:05Z","abstract_excerpt":"We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm for fixed k and give explicit results for k=1, 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.03095","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/2302.03095/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":"2026-07-05T11:17:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQFtRLC6c89O9ipV8yOHY8ztiz8blhkMvwC2NvDAITOC/s1nlY4nr1UMbo0X3/qY8A/8QKxRQuswMDCXa2SRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:04:14.008819Z"},"content_sha256":"e00cba636c5994327549ccbe2209e47c5828257cc6895f4b115cafeee79327d7","schema_version":"1.0","event_id":"sha256:e00cba636c5994327549ccbe2209e47c5828257cc6895f4b115cafeee79327d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/bundle.json","state_url":"https://pith.science/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/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":"2026-08-13T12:04:14Z","links":{"resolver":"https://pith.science/pith/3YLJOJZEKK6Y26XFDWUO6U72KI","bundle":"https://pith.science/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/bundle.json","state":"https://pith.science/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YLJOJZEKK6Y26XFDWUO6U72KI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3YLJOJZEKK6Y26XFDWUO6U72KI","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":"f74cfc4d9ccbd200833c508f048ae8d7dcd03555e6047df1c8e67bed0231ab19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-06T19:53:05Z","title_canon_sha256":"9db6449da4fa94320d9f469a63d891a14cc868c739654cb2dc6d33065fdb765a"},"schema_version":"1.0","source":{"id":"2302.03095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.03095","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"2302.03095v1","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.03095","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"3YLJOJZEKK6Y","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_16","alias_value":"3YLJOJZEKK6Y26XF","created_at":"2026-07-05T11:17:30Z"},{"alias_kind":"pith_short_8","alias_value":"3YLJOJZE","created_at":"2026-07-05T11:17:30Z"}],"graph_snapshots":[{"event_id":"sha256:e00cba636c5994327549ccbe2209e47c5828257cc6895f4b115cafeee79327d7","target":"graph","created_at":"2026-07-05T11:17:30Z","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/2302.03095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm for fixed k and give explicit results for k=1, 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3.","authors_text":"Daniel Haettig, Juergen Hausen, Justus Springer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-06T19:53:05Z","title":"Classifying log del Pezzo surfaces with torus action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.03095","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":"sha256:8dfbf35bbad65ebffb85f44a1b822ed12ef36570a62cb6171e05443f37f07c55","target":"record","created_at":"2026-07-05T11:17:30Z","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":"f74cfc4d9ccbd200833c508f048ae8d7dcd03555e6047df1c8e67bed0231ab19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-06T19:53:05Z","title_canon_sha256":"9db6449da4fa94320d9f469a63d891a14cc868c739654cb2dc6d33065fdb765a"},"schema_version":"1.0","source":{"id":"2302.03095","kind":"arxiv","version":1}},"canonical_sha256":"de1697272452bd8d7ae51da8ef53fa5211d2894107725f6f10385d38d401b4f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de1697272452bd8d7ae51da8ef53fa5211d2894107725f6f10385d38d401b4f1","first_computed_at":"2026-07-05T11:17:30.143179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:30.143179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8QNrPi8zGbhog3GWPwGKhkxQbmAqM478N7v9tCmubxR3tQpAZNpZCBjSZfgiXYzVoslLXFiY7kme+Rh4rVWaBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:30.143651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.03095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dfbf35bbad65ebffb85f44a1b822ed12ef36570a62cb6171e05443f37f07c55","sha256:e00cba636c5994327549ccbe2209e47c5828257cc6895f4b115cafeee79327d7"],"state_sha256":"a47cc0b621b9d5063df7480858c6e38318618986b8ae008bb95ac2ccad445dbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W9ewkbkz1poJgqMLPbU3VUPsIUSNHEZBOTetgiD7E6Vv0H/K0HVTFzYEoTYR2qgcWno/lLELHvyqm6YZfvSVCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T12:04:14.016699Z","bundle_sha256":"1c39f79fd1cda0cc3d70bd9683dfbf7bb51822111091dad126c363d6a01ccf83"}}