{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AFX46YYW5YAOLCJ56MHTRJAZWX","short_pith_number":"pith:AFX46YYW","canonical_record":{"source":{"id":"1801.05506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-01-16T23:45:34Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a8578f46d877887a3e5557beccc3389f2cc92b7ab63091117a52f876061e041a","abstract_canon_sha256":"64fd8534d72fa44dbdeb00c9367717dd72e9ce37b015b23a3b95e5edfbac85fb"},"schema_version":"1.0"},"canonical_sha256":"016fcf6316ee00e5893df30f38a419b5c4bc363275955d4b1452cf5c92ca9c59","source":{"kind":"arxiv","id":"1801.05506","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05506","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05506v1","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05506","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"AFX46YYW5YAO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFX46YYW5YAOLCJ5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFX46YYW","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AFX46YYW5YAOLCJ56MHTRJAZWX","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-01-16T23:45:34Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a8578f46d877887a3e5557beccc3389f2cc92b7ab63091117a52f876061e041a","abstract_canon_sha256":"64fd8534d72fa44dbdeb00c9367717dd72e9ce37b015b23a3b95e5edfbac85fb"},"schema_version":"1.0"},"canonical_sha256":"016fcf6316ee00e5893df30f38a419b5c4bc363275955d4b1452cf5c92ca9c59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:20.560844Z","signature_b64":"kCBrXvSth6f33lPF4yTtd/Jt42o1pRsqkIkl+KxTy5XmFO66awq4OYbbpPKjU1+RJWH1TxsTgh5LBR2jVQumAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"016fcf6316ee00e5893df30f38a419b5c4bc363275955d4b1452cf5c92ca9c59","last_reissued_at":"2026-05-18T00:21:20.557932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:20.557932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05506","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":"2026-05-18T00:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YxjwXrAqmRJ5nWGgkLatt1wEFlAXbYIyJMEyMc7zrSZcSrsijORh4hJukyFzs5LZ/cmu8B4h6LV1OnIXtrA4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:15:01.953560Z"},"content_sha256":"4dd70ab1106399f97939fec1a51fae3d9d1b95ec7251045dad091e4f9ac22ba0","schema_version":"1.0","event_id":"sha256:4dd70ab1106399f97939fec1a51fae3d9d1b95ec7251045dad091e4f9ac22ba0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AFX46YYW5YAOLCJ56MHTRJAZWX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local m-adic constancy of F-pure thresholds and test ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Daniel J. Hern\\'andez, Emily E. Witt, Luis N\\'u\\~nez-Betancourt","submitted_at":"2018-01-16T23:45:34Z","abstract_excerpt":"In this note, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated to a polynomial with an isolated singularity are locally constant in the m-adic topology of the corresponding local ring. As a by-product of our methods, we also describe a simple algorithm for computing all of the F-jumping numbers and test ideals associated to an arbitrary polynomial over an F-finite field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05506","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":""},"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":"2026-05-18T00:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8C3oX7ttNEfcOWpzacTxC9x6U8LR9EZUYTB4dWlrRr5ek9XOKMoZom8XW/Mvtyo5kQSjMIGwFzi1BYLmnSaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:15:01.953908Z"},"content_sha256":"1835e84f64dcdf784d2c4d9b812be45e7b9390c083f22864bdade18a24f39c85","schema_version":"1.0","event_id":"sha256:1835e84f64dcdf784d2c4d9b812be45e7b9390c083f22864bdade18a24f39c85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/bundle.json","state_url":"https://pith.science/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/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":"2026-05-31T22:15:01Z","links":{"resolver":"https://pith.science/pith/AFX46YYW5YAOLCJ56MHTRJAZWX","bundle":"https://pith.science/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/bundle.json","state":"https://pith.science/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFX46YYW5YAOLCJ56MHTRJAZWX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AFX46YYW5YAOLCJ56MHTRJAZWX","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":"64fd8534d72fa44dbdeb00c9367717dd72e9ce37b015b23a3b95e5edfbac85fb","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-01-16T23:45:34Z","title_canon_sha256":"a8578f46d877887a3e5557beccc3389f2cc92b7ab63091117a52f876061e041a"},"schema_version":"1.0","source":{"id":"1801.05506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05506","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05506v1","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05506","created_at":"2026-05-18T00:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"AFX46YYW5YAO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFX46YYW5YAOLCJ5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFX46YYW","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:1835e84f64dcdf784d2c4d9b812be45e7b9390c083f22864bdade18a24f39c85","target":"graph","created_at":"2026-05-18T00:21:20Z","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":"In this note, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated to a polynomial with an isolated singularity are locally constant in the m-adic topology of the corresponding local ring. As a by-product of our methods, we also describe a simple algorithm for computing all of the F-jumping numbers and test ideals associated to an arbitrary polynomial over an F-finite field.","authors_text":"Daniel J. Hern\\'andez, Emily E. Witt, Luis N\\'u\\~nez-Betancourt","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-01-16T23:45:34Z","title":"Local m-adic constancy of F-pure thresholds and test ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05506","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":"sha256:4dd70ab1106399f97939fec1a51fae3d9d1b95ec7251045dad091e4f9ac22ba0","target":"record","created_at":"2026-05-18T00:21:20Z","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":"64fd8534d72fa44dbdeb00c9367717dd72e9ce37b015b23a3b95e5edfbac85fb","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-01-16T23:45:34Z","title_canon_sha256":"a8578f46d877887a3e5557beccc3389f2cc92b7ab63091117a52f876061e041a"},"schema_version":"1.0","source":{"id":"1801.05506","kind":"arxiv","version":1}},"canonical_sha256":"016fcf6316ee00e5893df30f38a419b5c4bc363275955d4b1452cf5c92ca9c59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"016fcf6316ee00e5893df30f38a419b5c4bc363275955d4b1452cf5c92ca9c59","first_computed_at":"2026-05-18T00:21:20.557932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:20.557932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kCBrXvSth6f33lPF4yTtd/Jt42o1pRsqkIkl+KxTy5XmFO66awq4OYbbpPKjU1+RJWH1TxsTgh5LBR2jVQumAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:20.560844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dd70ab1106399f97939fec1a51fae3d9d1b95ec7251045dad091e4f9ac22ba0","sha256:1835e84f64dcdf784d2c4d9b812be45e7b9390c083f22864bdade18a24f39c85"],"state_sha256":"45866c970422c385ceee8988b08181429d2762efd70a7b0629e4f8282fa85f76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ywF4oEne6UrgavbgC/+7VoNBYMsEkPUIogkvIFi5Q/mLWs1KJtbd3qaaKCqAaXFgXeqrnRStSAYkDSQiwwocCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:15:01.955868Z","bundle_sha256":"fbd10bdc9efd140c360e421be1bac89b71a714dd2a3dbc8c25f57537051b7a51"}}