{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TSUD5CARDPABKO7VR5JPTTWATI","short_pith_number":"pith:TSUD5CAR","canonical_record":{"source":{"id":"2506.01007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-06-01T13:29:45Z","cross_cats_sorted":[],"title_canon_sha256":"0600456a431f217a4e4ff3e721f48998de69ee8db0559d87bf484297df247ce8","abstract_canon_sha256":"1b756e5babf215d31f617bc7ad3d2830513192ed12ed1483fb7b5bb5db27c860"},"schema_version":"1.0"},"canonical_sha256":"9ca83e88111bc0153bf58f52f9cec09a2f88732bb9a27de125900dd4573adc5d","source":{"kind":"arxiv","id":"2506.01007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01007","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01007v2","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01007","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"TSUD5CARDPAB","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"TSUD5CARDPABKO7V","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"TSUD5CAR","created_at":"2026-06-26T01:15:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TSUD5CARDPABKO7VR5JPTTWATI","target":"record","payload":{"canonical_record":{"source":{"id":"2506.01007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-06-01T13:29:45Z","cross_cats_sorted":[],"title_canon_sha256":"0600456a431f217a4e4ff3e721f48998de69ee8db0559d87bf484297df247ce8","abstract_canon_sha256":"1b756e5babf215d31f617bc7ad3d2830513192ed12ed1483fb7b5bb5db27c860"},"schema_version":"1.0"},"canonical_sha256":"9ca83e88111bc0153bf58f52f9cec09a2f88732bb9a27de125900dd4573adc5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T01:15:44.384601Z","signature_b64":"eC958bzfTmnL/JayYauIuGEAWs5x4qWrn3cm2ziMvyeILxNilpeIVs1kIIpv6I2s6UJLUU7/8kVWDKKh0bBGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ca83e88111bc0153bf58f52f9cec09a2f88732bb9a27de125900dd4573adc5d","last_reissued_at":"2026-06-26T01:15:44.384143Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T01:15:44.384143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.01007","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":"2026-06-26T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MCWwSINijGpArKDyL63KOMUurEefCyHVc3u1c3MSApjvgldr3SzU49IYPP/kelGetSc9NpwfKDGvWKiY+MHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:33:39.995446Z"},"content_sha256":"78542d4f250ab8250ded92e39d47300dba240a430e2c844f431ec7b08e97b3ac","schema_version":"1.0","event_id":"sha256:78542d4f250ab8250ded92e39d47300dba240a430e2c844f431ec7b08e97b3ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TSUD5CARDPABKO7VR5JPTTWATI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equisingular lifting of semi-log canonical $F$-split $K$-trivial surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fabio Bernasconi, Quentin Posva","submitted_at":"2025-06-01T13:29:45Z","abstract_excerpt":"We show that a projective globally $F$-split semi-log canonical $K$-trivial surface over an algebraically closed field of characteristic $p>0$ admits an equisingular lifting over the ring of Witt vectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01007","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.01007/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":"2026-06-26T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILxwjmUhZ/u9wfkGbwy/pZzj2fiCcTfgGAY0fSuZQYy63w51GA8qVS8daJ3i5OroVXkawAHUHAGEusx7bZvxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:33:39.996005Z"},"content_sha256":"116f87a8204a1dd6e6ee97fe5b9e345ab661b2721a59d831b6b5c73b578645ef","schema_version":"1.0","event_id":"sha256:116f87a8204a1dd6e6ee97fe5b9e345ab661b2721a59d831b6b5c73b578645ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TSUD5CARDPABKO7VR5JPTTWATI/bundle.json","state_url":"https://pith.science/pith/TSUD5CARDPABKO7VR5JPTTWATI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TSUD5CARDPABKO7VR5JPTTWATI/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":"2026-08-08T08:33:39Z","links":{"resolver":"https://pith.science/pith/TSUD5CARDPABKO7VR5JPTTWATI","bundle":"https://pith.science/pith/TSUD5CARDPABKO7VR5JPTTWATI/bundle.json","state":"https://pith.science/pith/TSUD5CARDPABKO7VR5JPTTWATI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TSUD5CARDPABKO7VR5JPTTWATI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TSUD5CARDPABKO7VR5JPTTWATI","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":"1b756e5babf215d31f617bc7ad3d2830513192ed12ed1483fb7b5bb5db27c860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-06-01T13:29:45Z","title_canon_sha256":"0600456a431f217a4e4ff3e721f48998de69ee8db0559d87bf484297df247ce8"},"schema_version":"1.0","source":{"id":"2506.01007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01007","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01007v2","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01007","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"TSUD5CARDPAB","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"TSUD5CARDPABKO7V","created_at":"2026-06-26T01:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"TSUD5CAR","created_at":"2026-06-26T01:15:44Z"}],"graph_snapshots":[{"event_id":"sha256:116f87a8204a1dd6e6ee97fe5b9e345ab661b2721a59d831b6b5c73b578645ef","target":"graph","created_at":"2026-06-26T01:15:44Z","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/2506.01007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that a projective globally $F$-split semi-log canonical $K$-trivial surface over an algebraically closed field of characteristic $p>0$ admits an equisingular lifting over the ring of Witt vectors.","authors_text":"Fabio Bernasconi, Quentin Posva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-06-01T13:29:45Z","title":"Equisingular lifting of semi-log canonical $F$-split $K$-trivial surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01007","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":"sha256:78542d4f250ab8250ded92e39d47300dba240a430e2c844f431ec7b08e97b3ac","target":"record","created_at":"2026-06-26T01:15:44Z","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":"1b756e5babf215d31f617bc7ad3d2830513192ed12ed1483fb7b5bb5db27c860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-06-01T13:29:45Z","title_canon_sha256":"0600456a431f217a4e4ff3e721f48998de69ee8db0559d87bf484297df247ce8"},"schema_version":"1.0","source":{"id":"2506.01007","kind":"arxiv","version":2}},"canonical_sha256":"9ca83e88111bc0153bf58f52f9cec09a2f88732bb9a27de125900dd4573adc5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ca83e88111bc0153bf58f52f9cec09a2f88732bb9a27de125900dd4573adc5d","first_computed_at":"2026-06-26T01:15:44.384143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:15:44.384143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eC958bzfTmnL/JayYauIuGEAWs5x4qWrn3cm2ziMvyeILxNilpeIVs1kIIpv6I2s6UJLUU7/8kVWDKKh0bBGDQ==","signature_status":"signed_v1","signed_at":"2026-06-26T01:15:44.384601Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.01007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78542d4f250ab8250ded92e39d47300dba240a430e2c844f431ec7b08e97b3ac","sha256:116f87a8204a1dd6e6ee97fe5b9e345ab661b2721a59d831b6b5c73b578645ef"],"state_sha256":"94076e65552daece73109296e1ff209afecb9deef7e4a3c929add69e0bc4acbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PNuxug6oHJF7tWTmq1jWt1g+z9EMYcT3/Wfc96uPj4SNK/8WxgHhDuBnCNHN+mFPRan58u7lID+T8U+6/xXlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:33:39.999709Z","bundle_sha256":"7808ed5809f1b8a45b9e40ac180b83c0e49555bddca29bd5a1314b5d6a017932"}}