{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7HAP3CKWB3FPTHAMVNRIL3VIDQ","short_pith_number":"pith:7HAP3CKW","canonical_record":{"source":{"id":"2405.05735","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-09T12:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"a3a3504a58d8d0bf6be998b507c4868c709f66f3898d7e680dfbbd47d8b92f0f","abstract_canon_sha256":"315d060a27a7feaca2c64ffdaabc1e2819779d78c41f8c2331c262802d3160c2"},"schema_version":"1.0"},"canonical_sha256":"f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4","source":{"kind":"arxiv","id":"2405.05735","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05735","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05735v2","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05735","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"7HAP3CKWB3FP","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_16","alias_value":"7HAP3CKWB3FPTHAM","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_8","alias_value":"7HAP3CKW","created_at":"2026-07-05T11:51:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7HAP3CKWB3FPTHAMVNRIL3VIDQ","target":"record","payload":{"canonical_record":{"source":{"id":"2405.05735","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-09T12:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"a3a3504a58d8d0bf6be998b507c4868c709f66f3898d7e680dfbbd47d8b92f0f","abstract_canon_sha256":"315d060a27a7feaca2c64ffdaabc1e2819779d78c41f8c2331c262802d3160c2"},"schema_version":"1.0"},"canonical_sha256":"f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:51:15.732733Z","signature_b64":"19FCQqpQcg2iEaZXMObHZ8+LmRWESsnxDZTLQHN/L1Ti4uFPtGKSr8ZiWPqn8yJPr+KlgWiO9wYaNoGRAbgfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4","last_reissued_at":"2026-07-05T11:51:15.732199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:51:15.732199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.05735","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":"2026-07-05T11:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0nzpv6TkQD8T0bOZIdrQYV2oFzDutnZowKv0nlDFkwmW+eIp6hdFMjBc5zcp/CxNQYnhWaU7UZ/JZRoqHSTfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:58:05.953788Z"},"content_sha256":"3b57143f351a50b089392700e457cfc1ca2fee54bd52d4f3f396cfbfde428451","schema_version":"1.0","event_id":"sha256:3b57143f351a50b089392700e457cfc1ca2fee54bd52d4f3f396cfbfde428451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7HAP3CKWB3FPTHAMVNRIL3VIDQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resolution of $1$-foliations singularities on surfaces and threefolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Quentin Posva","submitted_at":"2024-05-09T12:50:48Z","abstract_excerpt":"We consider resolution of singularities for $1$-foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely resolved if we allow tame regular Deligne--Mumford stacks as underlying spaces. If one restricts to underlying varieties, we show that $1$-foliations singularities can be simplified into multiplicative ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05735","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/2405.05735/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":"2026-07-05T11:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3e+Poua5NMmFR/ipPSfUFHtR2y4E2gxV0oG6QEHCQwqUtxC9FUZAKQbyIA6E6NxpJp9qHpHB4R+4tcAvfP0aBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:58:05.954704Z"},"content_sha256":"37ad44d41e11c3844a644876460898e4307ed97aa13b0375b78f60eb977b3b28","schema_version":"1.0","event_id":"sha256:37ad44d41e11c3844a644876460898e4307ed97aa13b0375b78f60eb977b3b28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/bundle.json","state_url":"https://pith.science/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/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":"2026-08-11T18:58:05Z","links":{"resolver":"https://pith.science/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ","bundle":"https://pith.science/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/bundle.json","state":"https://pith.science/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HAP3CKWB3FPTHAMVNRIL3VIDQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7HAP3CKWB3FPTHAMVNRIL3VIDQ","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":"315d060a27a7feaca2c64ffdaabc1e2819779d78c41f8c2331c262802d3160c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-09T12:50:48Z","title_canon_sha256":"a3a3504a58d8d0bf6be998b507c4868c709f66f3898d7e680dfbbd47d8b92f0f"},"schema_version":"1.0","source":{"id":"2405.05735","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05735","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05735v2","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05735","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"7HAP3CKWB3FP","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_16","alias_value":"7HAP3CKWB3FPTHAM","created_at":"2026-07-05T11:51:15Z"},{"alias_kind":"pith_short_8","alias_value":"7HAP3CKW","created_at":"2026-07-05T11:51:15Z"}],"graph_snapshots":[{"event_id":"sha256:37ad44d41e11c3844a644876460898e4307ed97aa13b0375b78f60eb977b3b28","target":"graph","created_at":"2026-07-05T11:51:15Z","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/2405.05735/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider resolution of singularities for $1$-foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely resolved if we allow tame regular Deligne--Mumford stacks as underlying spaces. If one restricts to underlying varieties, we show that $1$-foliations singularities can be simplified into multiplicative ones.","authors_text":"Quentin Posva","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-09T12:50:48Z","title":"Resolution of $1$-foliations singularities on surfaces and threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05735","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":"sha256:3b57143f351a50b089392700e457cfc1ca2fee54bd52d4f3f396cfbfde428451","target":"record","created_at":"2026-07-05T11:51:15Z","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":"315d060a27a7feaca2c64ffdaabc1e2819779d78c41f8c2331c262802d3160c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-09T12:50:48Z","title_canon_sha256":"a3a3504a58d8d0bf6be998b507c4868c709f66f3898d7e680dfbbd47d8b92f0f"},"schema_version":"1.0","source":{"id":"2405.05735","kind":"arxiv","version":2}},"canonical_sha256":"f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4","first_computed_at":"2026-07-05T11:51:15.732199Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:51:15.732199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"19FCQqpQcg2iEaZXMObHZ8+LmRWESsnxDZTLQHN/L1Ti4uFPtGKSr8ZiWPqn8yJPr+KlgWiO9wYaNoGRAbgfCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:51:15.732733Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.05735","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b57143f351a50b089392700e457cfc1ca2fee54bd52d4f3f396cfbfde428451","sha256:37ad44d41e11c3844a644876460898e4307ed97aa13b0375b78f60eb977b3b28"],"state_sha256":"570718b2f11efe6f3bd9a93e98ab88f0fe30aff9ccea61b0921e7ad27e2734df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7DluWbM7CjKqhXZ5BzqK1WXPnlyem90vw0zRkyn7xH1+AZ+Ywcr25WRlbV88ASAo9eAinEsutfOiHUZ0g4AyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:58:05.962003Z","bundle_sha256":"714a373c3fc22b4e26a685b4b9c08ddde7fdb348a0d81f1ae0cda2249434f090"}}