{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3S44JDWGJVSSHAMRAJSI5UDUL2","short_pith_number":"pith:3S44JDWG","canonical_record":{"source":{"id":"1908.08291","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T10:08:56Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1545acd1348f582b42bf571333bc42114bb04ffe69c9d563cf34f215d5e828a9","abstract_canon_sha256":"e6a4d824b3da0eb710e10d47c92231995282c1eca328e5663142cc971c23692a"},"schema_version":"1.0"},"canonical_sha256":"dcb9c48ec64d6523819102648ed0745eae3c2794c5a66fc17a8b5ae7c659f5b7","source":{"kind":"arxiv","id":"1908.08291","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08291","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08291v4","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08291","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_12","alias_value":"3S44JDWGJVSS","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_16","alias_value":"3S44JDWGJVSSHAMR","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_8","alias_value":"3S44JDWG","created_at":"2026-07-05T02:41:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3S44JDWGJVSSHAMRAJSI5UDUL2","target":"record","payload":{"canonical_record":{"source":{"id":"1908.08291","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T10:08:56Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1545acd1348f582b42bf571333bc42114bb04ffe69c9d563cf34f215d5e828a9","abstract_canon_sha256":"e6a4d824b3da0eb710e10d47c92231995282c1eca328e5663142cc971c23692a"},"schema_version":"1.0"},"canonical_sha256":"dcb9c48ec64d6523819102648ed0745eae3c2794c5a66fc17a8b5ae7c659f5b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:41:46.136445Z","signature_b64":"Ms5uT8BTUx214+HYI6o6t/otBsHI7MFFYoQ3gvLl2StLfu8o68bMR6fGIdFtGBQx1OrJaXBrvEMvKqPRR5V3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcb9c48ec64d6523819102648ed0745eae3c2794c5a66fc17a8b5ae7c659f5b7","last_reissued_at":"2026-07-05T02:41:46.136017Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:41:46.136017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.08291","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:41:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zYGgQDTUqXCJ6pW7Y4UJcNtNIK7NUHXLNFvYy9MZDtpfqbi8bN2nhQealbzBytj03Fx1FbNSe454xMAbx96aDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:33:20.124783Z"},"content_sha256":"edd596cc9b07feba6498db3743771a0493f200c026e0e7d901814d5dd8c3c0bb","schema_version":"1.0","event_id":"sha256:edd596cc9b07feba6498db3743771a0493f200c026e0e7d901814d5dd8c3c0bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3S44JDWGJVSSHAMRAJSI5UDUL2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\'Etale cohomology of rank one $\\ell$-adic local systems in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"H\\'el\\`ene Esnault, Moritz Kerz","submitted_at":"2019-08-22T10:08:56Z","abstract_excerpt":"We show that in positive characteristic special loci of deformation spaces of rank one $\\ell$-adic local systems are quasilinear. From this we deduce the Hard Lefschetz theorem for rank one $\\ell$-adic local systems and a generic vanishing theorem. Last version: a few typos corrected"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08291","kind":"arxiv","version":4},"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/1908.08291/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":"2026-07-05T02:41:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZmMu97jmXnG1Wu2Udb9LX+IYuWaV3Z54tW/+iMfKikJDicw+SGhHd7r/eWdkvFtr//bR6px6/JKC6HTYlaHtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:33:20.125677Z"},"content_sha256":"ce07e12d555d6d78109416964180fed9d75c37617669c4f1bebcd73aae5b1003","schema_version":"1.0","event_id":"sha256:ce07e12d555d6d78109416964180fed9d75c37617669c4f1bebcd73aae5b1003"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/bundle.json","state_url":"https://pith.science/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/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":"2026-08-16T09:33:20Z","links":{"resolver":"https://pith.science/pith/3S44JDWGJVSSHAMRAJSI5UDUL2","bundle":"https://pith.science/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/bundle.json","state":"https://pith.science/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3S44JDWGJVSSHAMRAJSI5UDUL2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3S44JDWGJVSSHAMRAJSI5UDUL2","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":"e6a4d824b3da0eb710e10d47c92231995282c1eca328e5663142cc971c23692a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T10:08:56Z","title_canon_sha256":"1545acd1348f582b42bf571333bc42114bb04ffe69c9d563cf34f215d5e828a9"},"schema_version":"1.0","source":{"id":"1908.08291","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08291","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08291v4","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08291","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_12","alias_value":"3S44JDWGJVSS","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_16","alias_value":"3S44JDWGJVSSHAMR","created_at":"2026-07-05T02:41:46Z"},{"alias_kind":"pith_short_8","alias_value":"3S44JDWG","created_at":"2026-07-05T02:41:46Z"}],"graph_snapshots":[{"event_id":"sha256:ce07e12d555d6d78109416964180fed9d75c37617669c4f1bebcd73aae5b1003","target":"graph","created_at":"2026-07-05T02:41:46Z","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/1908.08291/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that in positive characteristic special loci of deformation spaces of rank one $\\ell$-adic local systems are quasilinear. From this we deduce the Hard Lefschetz theorem for rank one $\\ell$-adic local systems and a generic vanishing theorem. Last version: a few typos corrected","authors_text":"H\\'el\\`ene Esnault, Moritz Kerz","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T10:08:56Z","title":"\\'Etale cohomology of rank one $\\ell$-adic local systems in positive characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08291","kind":"arxiv","version":4},"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:edd596cc9b07feba6498db3743771a0493f200c026e0e7d901814d5dd8c3c0bb","target":"record","created_at":"2026-07-05T02:41:46Z","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":"e6a4d824b3da0eb710e10d47c92231995282c1eca328e5663142cc971c23692a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T10:08:56Z","title_canon_sha256":"1545acd1348f582b42bf571333bc42114bb04ffe69c9d563cf34f215d5e828a9"},"schema_version":"1.0","source":{"id":"1908.08291","kind":"arxiv","version":4}},"canonical_sha256":"dcb9c48ec64d6523819102648ed0745eae3c2794c5a66fc17a8b5ae7c659f5b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcb9c48ec64d6523819102648ed0745eae3c2794c5a66fc17a8b5ae7c659f5b7","first_computed_at":"2026-07-05T02:41:46.136017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:41:46.136017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ms5uT8BTUx214+HYI6o6t/otBsHI7MFFYoQ3gvLl2StLfu8o68bMR6fGIdFtGBQx1OrJaXBrvEMvKqPRR5V3AA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:41:46.136445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08291","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edd596cc9b07feba6498db3743771a0493f200c026e0e7d901814d5dd8c3c0bb","sha256:ce07e12d555d6d78109416964180fed9d75c37617669c4f1bebcd73aae5b1003"],"state_sha256":"e00b8490f72900e2d1b8e0f1d19cea37435fba18c6b8324db869d8a5d69d5f25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hcp5ABQ82x+zIdZxNg4E8P/trmKHG5+sDgtVyonX4ORK++MHV/yMhQ3YnyU0bJmIsntRPH7ohwpWwGqe26UjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T09:33:20.132586Z","bundle_sha256":"19432a4cbb2b6973132d7be0faa6455603584a9325e5dbba53de1559c6c90057"}}