{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FUX7ASTJDMDY2W77LZBBCBJT6E","short_pith_number":"pith:FUX7ASTJ","canonical_record":{"source":{"id":"1802.07396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-21T01:43:00Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f4271e52ce75eee5ed90292c379a517bd3dae42badd397763d0a2727e2d40f81","abstract_canon_sha256":"42cd32344b500f9d347b4815f1a174e0b597a24aa93525fca376ff5760fcdc24"},"schema_version":"1.0"},"canonical_sha256":"2d2ff04a691b078d5bff5e42110533f101ef84e62a6c95f5f81f358216ea75fa","source":{"kind":"arxiv","id":"1802.07396","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07396","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07396v2","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07396","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"FUX7ASTJDMDY","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FUX7ASTJDMDY2W77","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FUX7ASTJ","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FUX7ASTJDMDY2W77LZBBCBJT6E","target":"record","payload":{"canonical_record":{"source":{"id":"1802.07396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-21T01:43:00Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f4271e52ce75eee5ed90292c379a517bd3dae42badd397763d0a2727e2d40f81","abstract_canon_sha256":"42cd32344b500f9d347b4815f1a174e0b597a24aa93525fca376ff5760fcdc24"},"schema_version":"1.0"},"canonical_sha256":"2d2ff04a691b078d5bff5e42110533f101ef84e62a6c95f5f81f358216ea75fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:15.590447Z","signature_b64":"mAB0Z/8gt+fL79DnhToSAOvx6Cob3HVTpUolVCM+cX7YYM0aE1ttRHDvss/JsCX5hEhb4GZ0jecQ17AieDbxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d2ff04a691b078d5bff5e42110533f101ef84e62a6c95f5f81f358216ea75fa","last_reissued_at":"2026-05-18T00:22:15.589802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:15.589802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.07396","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":"2026-05-18T00:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCQr9PIQb0WWMEwKna8icH4DvakzXcweBFC+RDhc65KXu9ws5JptEc21H6ErSd9PDCDFfigndTDEQLxXZ5dPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:43:38.854688Z"},"content_sha256":"929e7945cbb4636138cfd00b2245ac1651e7388d45544ba1ed345461d31e808f","schema_version":"1.0","event_id":"sha256:929e7945cbb4636138cfd00b2245ac1651e7388d45544ba1ed345461d31e808f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FUX7ASTJDMDY2W77LZBBCBJT6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Galois representations and ordinary reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Sanath K. Devalapurkar","submitted_at":"2018-02-21T01:43:00Z","abstract_excerpt":"We provide conditions on the p-adic Galois representation of a smooth proper variety over a complete nonarchimedean extension of Q_p to have (potentially) good ordinary reduction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07396","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":""},"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":"2026-05-18T00:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXk3rj9r4i1V6Vu68Q0mpDYNvCHaHSv3Lw3VqnlVhc5+z5BQ2dAk6n8yVj8+d6UglB1KdEOOj65/mptur/6fAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:43:38.855056Z"},"content_sha256":"9030221d5c10dacbf3e1ca8365cbc5ddb33b59b354da0cdf6efc9ca35cc0e436","schema_version":"1.0","event_id":"sha256:9030221d5c10dacbf3e1ca8365cbc5ddb33b59b354da0cdf6efc9ca35cc0e436"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/bundle.json","state_url":"https://pith.science/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/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":"2026-06-20T03:43:38Z","links":{"resolver":"https://pith.science/pith/FUX7ASTJDMDY2W77LZBBCBJT6E","bundle":"https://pith.science/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/bundle.json","state":"https://pith.science/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FUX7ASTJDMDY2W77LZBBCBJT6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FUX7ASTJDMDY2W77LZBBCBJT6E","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":"42cd32344b500f9d347b4815f1a174e0b597a24aa93525fca376ff5760fcdc24","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-21T01:43:00Z","title_canon_sha256":"f4271e52ce75eee5ed90292c379a517bd3dae42badd397763d0a2727e2d40f81"},"schema_version":"1.0","source":{"id":"1802.07396","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07396","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07396v2","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07396","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"FUX7ASTJDMDY","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FUX7ASTJDMDY2W77","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FUX7ASTJ","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:9030221d5c10dacbf3e1ca8365cbc5ddb33b59b354da0cdf6efc9ca35cc0e436","target":"graph","created_at":"2026-05-18T00:22:15Z","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"},"paper":{"abstract_excerpt":"We provide conditions on the p-adic Galois representation of a smooth proper variety over a complete nonarchimedean extension of Q_p to have (potentially) good ordinary reduction.","authors_text":"Sanath K. Devalapurkar","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-21T01:43:00Z","title":"Galois representations and ordinary reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07396","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":"sha256:929e7945cbb4636138cfd00b2245ac1651e7388d45544ba1ed345461d31e808f","target":"record","created_at":"2026-05-18T00:22:15Z","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":"42cd32344b500f9d347b4815f1a174e0b597a24aa93525fca376ff5760fcdc24","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-21T01:43:00Z","title_canon_sha256":"f4271e52ce75eee5ed90292c379a517bd3dae42badd397763d0a2727e2d40f81"},"schema_version":"1.0","source":{"id":"1802.07396","kind":"arxiv","version":2}},"canonical_sha256":"2d2ff04a691b078d5bff5e42110533f101ef84e62a6c95f5f81f358216ea75fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d2ff04a691b078d5bff5e42110533f101ef84e62a6c95f5f81f358216ea75fa","first_computed_at":"2026-05-18T00:22:15.589802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:15.589802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mAB0Z/8gt+fL79DnhToSAOvx6Cob3HVTpUolVCM+cX7YYM0aE1ttRHDvss/JsCX5hEhb4GZ0jecQ17AieDbxBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:15.590447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07396","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:929e7945cbb4636138cfd00b2245ac1651e7388d45544ba1ed345461d31e808f","sha256:9030221d5c10dacbf3e1ca8365cbc5ddb33b59b354da0cdf6efc9ca35cc0e436"],"state_sha256":"43179f968a7716e96c093a178a573d0431c0f8996b51fe17d7e8fffb00257f46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TF7KFQRiWlowFcmGSeI2kKikWM2OenUV7S9n0C0A6pHZLg4wo9yh4gD/9cDETqhAD4NlHtOzm6w9e6JjdJS8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:43:38.856995Z","bundle_sha256":"ecd6e8bee5f1f61bc2285f75ee1d88277c982442fed7bc9118c8e8abe82978ac"}}