{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FMEGI7PRACAHVB5H4UOBFCB4NM","short_pith_number":"pith:FMEGI7PR","canonical_record":{"source":{"id":"1305.1646","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-07T21:07:25Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"50d34eb9e73a126afbbaba45218ad005c096631bbe9433277212e78c5532c784","abstract_canon_sha256":"b97bb50bba525c161312a2b092f9f66c794c8818d1885d59ba24c1622020be92"},"schema_version":"1.0"},"canonical_sha256":"2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc","source":{"kind":"arxiv","id":"1305.1646","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1646","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1646v3","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1646","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"FMEGI7PRACAH","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FMEGI7PRACAHVB5H","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FMEGI7PR","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FMEGI7PRACAHVB5H4UOBFCB4NM","target":"record","payload":{"canonical_record":{"source":{"id":"1305.1646","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-07T21:07:25Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"50d34eb9e73a126afbbaba45218ad005c096631bbe9433277212e78c5532c784","abstract_canon_sha256":"b97bb50bba525c161312a2b092f9f66c794c8818d1885d59ba24c1622020be92"},"schema_version":"1.0"},"canonical_sha256":"2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:53.639917Z","signature_b64":"5tEFQFuo4MF2fptw/sn5Z+tznvUy615SlnUNn1e5x988Y4kcKYNdOyUBg+AqkwEhSfM19FCAhdwsmSL9LEQWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc","last_reissued_at":"2026-05-18T00:33:53.639261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:53.639261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.1646","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e9mOVg1zXOazEmAnquaSyBLMcWB00APsdQ8wljF60tKjDt9/ReqXIzKvI8uSAY+kXAPqxwDdbqY0rvFR94vaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:16:15.534899Z"},"content_sha256":"90c4d843c1365c1e44d436c6b6f695646fab48162c28fbbb612e8658baa977e7","schema_version":"1.0","event_id":"sha256:90c4d843c1365c1e44d436c6b6f695646fab48162c28fbbb612e8658baa977e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FMEGI7PRACAHVB5H4UOBFCB4NM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"F-singularities in families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Karl Schwede, Wenliang Zhang, Zsolt Patakfalvi","submitted_at":"2013-05-07T21:07:25Z","abstract_excerpt":"We study the behavior of test ideals and F-singularities in families. In particular, we obtain generic (and non-generic) restriction theorems for test ideals and non-F-pure ideals. Additionally, we study the global behavior of certain canonical linear systems (induced by Frobenius) associated to adjoint line bundles, in families. As a consequence, we obtain some positivity results for pushforwards of some adjoint line bundles and for certain subsheaves of these."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1646","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rLxk/req+FZojGoBgcVlPe1iibK8RfP4/0YOQHGydEgwC1WETUEWk8MlyOSlvUBTJ3mxwdXXnBf6YrRRBqiwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:16:15.535241Z"},"content_sha256":"703ae909ca38cf5b78104411f9f61f86c44affc5625ede51d3c37cb7e6a43fce","schema_version":"1.0","event_id":"sha256:703ae909ca38cf5b78104411f9f61f86c44affc5625ede51d3c37cb7e6a43fce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/bundle.json","state_url":"https://pith.science/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/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":"2026-06-03T21:16:15Z","links":{"resolver":"https://pith.science/pith/FMEGI7PRACAHVB5H4UOBFCB4NM","bundle":"https://pith.science/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/bundle.json","state":"https://pith.science/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMEGI7PRACAHVB5H4UOBFCB4NM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FMEGI7PRACAHVB5H4UOBFCB4NM","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":"b97bb50bba525c161312a2b092f9f66c794c8818d1885d59ba24c1622020be92","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-07T21:07:25Z","title_canon_sha256":"50d34eb9e73a126afbbaba45218ad005c096631bbe9433277212e78c5532c784"},"schema_version":"1.0","source":{"id":"1305.1646","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1646","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1646v3","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1646","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"FMEGI7PRACAH","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FMEGI7PRACAHVB5H","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FMEGI7PR","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:703ae909ca38cf5b78104411f9f61f86c44affc5625ede51d3c37cb7e6a43fce","target":"graph","created_at":"2026-05-18T00:33:53Z","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"},"paper":{"abstract_excerpt":"We study the behavior of test ideals and F-singularities in families. In particular, we obtain generic (and non-generic) restriction theorems for test ideals and non-F-pure ideals. Additionally, we study the global behavior of certain canonical linear systems (induced by Frobenius) associated to adjoint line bundles, in families. As a consequence, we obtain some positivity results for pushforwards of some adjoint line bundles and for certain subsheaves of these.","authors_text":"Karl Schwede, Wenliang Zhang, Zsolt Patakfalvi","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-07T21:07:25Z","title":"F-singularities in families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1646","kind":"arxiv","version":3},"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":"sha256:90c4d843c1365c1e44d436c6b6f695646fab48162c28fbbb612e8658baa977e7","target":"record","created_at":"2026-05-18T00:33:53Z","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":"b97bb50bba525c161312a2b092f9f66c794c8818d1885d59ba24c1622020be92","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-07T21:07:25Z","title_canon_sha256":"50d34eb9e73a126afbbaba45218ad005c096631bbe9433277212e78c5532c784"},"schema_version":"1.0","source":{"id":"1305.1646","kind":"arxiv","version":3}},"canonical_sha256":"2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc","first_computed_at":"2026-05-18T00:33:53.639261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:53.639261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5tEFQFuo4MF2fptw/sn5Z+tznvUy615SlnUNn1e5x988Y4kcKYNdOyUBg+AqkwEhSfM19FCAhdwsmSL9LEQWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:53.639917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1646","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90c4d843c1365c1e44d436c6b6f695646fab48162c28fbbb612e8658baa977e7","sha256:703ae909ca38cf5b78104411f9f61f86c44affc5625ede51d3c37cb7e6a43fce"],"state_sha256":"f0ca04d3a7d9d8e12386cf2be684a9469ddb959204a7cfc46d641f0f46c91332"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eeRMvYNCc5bcI8XDVvt13IHggKg6QWTU4aWpzUs2qy5ZEWUQqSc3Yr1mbIanekzcPXBvKntT3w3x7GA+ckwkAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:16:15.537351Z","bundle_sha256":"8c97396298206380e439abede42a78747f06b1e9bc408b53fa74ef2b411a0a85"}}