{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4KR7IPGYIR3BWA4SGMTXGNS2SM","short_pith_number":"pith:4KR7IPGY","canonical_record":{"source":{"id":"2412.11723","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-16T12:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"108ce662dd92cbdbfde4a1bb9e56cbbe494470a779f9403803b9a2cb34a700f0","abstract_canon_sha256":"51de38b34e39e6c5775b1909b076029d9d79eb1fbe0d26d29934247a91a6bb69"},"schema_version":"1.0"},"canonical_sha256":"e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2","source":{"kind":"arxiv","id":"2412.11723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11723","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11723v2","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11723","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"4KR7IPGYIR3B","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_16","alias_value":"4KR7IPGYIR3BWA4S","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_8","alias_value":"4KR7IPGY","created_at":"2026-07-05T12:09:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4KR7IPGYIR3BWA4SGMTXGNS2SM","target":"record","payload":{"canonical_record":{"source":{"id":"2412.11723","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-16T12:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"108ce662dd92cbdbfde4a1bb9e56cbbe494470a779f9403803b9a2cb34a700f0","abstract_canon_sha256":"51de38b34e39e6c5775b1909b076029d9d79eb1fbe0d26d29934247a91a6bb69"},"schema_version":"1.0"},"canonical_sha256":"e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:12.009205Z","signature_b64":"iEhkz6e633H2MgxngSxnt9weYOnqSoMGj2R7NiMCep0HoSFIxV95WZrGaaLq09OmjjxPq2yGAPZfNBwp5xfCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2","last_reissued_at":"2026-07-05T12:09:12.008740Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:12.008740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.11723","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":"2026-07-05T12:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wE59yfIDULLZU+Ru+M5c7iWNFBouKQHQIamZJmJiuxdR5tUm4NlMehH35car32b4UhPkNJVLjAm7RMnHFQ7rDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:46:49.668539Z"},"content_sha256":"feee3cd2857dbf812db73410ac6be453204ac6d6cf7f2a7fd9801272a2c0bc81","schema_version":"1.0","event_id":"sha256:feee3cd2857dbf812db73410ac6be453204ac6d6cf7f2a7fd9801272a2c0bc81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4KR7IPGYIR3BWA4SGMTXGNS2SM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant case of the Grothendieck-Serre conjecture in mixed characteristic","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A.Stavrova, I.Panin","submitted_at":"2024-12-16T12:45:14Z","abstract_excerpt":"Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's geometric presentation lemma in the DVR context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11723","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/2412.11723/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":"2026-07-05T12:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V9M3/cO9rkD41q3zFhVDqtv5dONvLuikaGOvon+olTfV4q8ljtkqf2lMNreQ3zcPLwJZtV9f1jHjJoAHzUpHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T22:46:49.668893Z"},"content_sha256":"d019a6a1e4757fe2419dd8e2c741045b9a1779f9c29da51f1de8939f1accfe2d","schema_version":"1.0","event_id":"sha256:d019a6a1e4757fe2419dd8e2c741045b9a1779f9c29da51f1de8939f1accfe2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/bundle.json","state_url":"https://pith.science/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/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":"2026-08-19T22:46:49Z","links":{"resolver":"https://pith.science/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM","bundle":"https://pith.science/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/bundle.json","state":"https://pith.science/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KR7IPGYIR3BWA4SGMTXGNS2SM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4KR7IPGYIR3BWA4SGMTXGNS2SM","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":"51de38b34e39e6c5775b1909b076029d9d79eb1fbe0d26d29934247a91a6bb69","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-16T12:45:14Z","title_canon_sha256":"108ce662dd92cbdbfde4a1bb9e56cbbe494470a779f9403803b9a2cb34a700f0"},"schema_version":"1.0","source":{"id":"2412.11723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11723","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11723v2","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11723","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"4KR7IPGYIR3B","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_16","alias_value":"4KR7IPGYIR3BWA4S","created_at":"2026-07-05T12:09:12Z"},{"alias_kind":"pith_short_8","alias_value":"4KR7IPGY","created_at":"2026-07-05T12:09:12Z"}],"graph_snapshots":[{"event_id":"sha256:d019a6a1e4757fe2419dd8e2c741045b9a1779f9c29da51f1de8939f1accfe2d","target":"graph","created_at":"2026-07-05T12:09:12Z","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/2412.11723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's geometric presentation lemma in the DVR context.","authors_text":"A.Stavrova, I.Panin","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-16T12:45:14Z","title":"Constant case of the Grothendieck-Serre conjecture in mixed characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11723","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:feee3cd2857dbf812db73410ac6be453204ac6d6cf7f2a7fd9801272a2c0bc81","target":"record","created_at":"2026-07-05T12:09:12Z","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":"51de38b34e39e6c5775b1909b076029d9d79eb1fbe0d26d29934247a91a6bb69","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-16T12:45:14Z","title_canon_sha256":"108ce662dd92cbdbfde4a1bb9e56cbbe494470a779f9403803b9a2cb34a700f0"},"schema_version":"1.0","source":{"id":"2412.11723","kind":"arxiv","version":2}},"canonical_sha256":"e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2","first_computed_at":"2026-07-05T12:09:12.008740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:12.008740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEhkz6e633H2MgxngSxnt9weYOnqSoMGj2R7NiMCep0HoSFIxV95WZrGaaLq09OmjjxPq2yGAPZfNBwp5xfCAg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:12.009205Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.11723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feee3cd2857dbf812db73410ac6be453204ac6d6cf7f2a7fd9801272a2c0bc81","sha256:d019a6a1e4757fe2419dd8e2c741045b9a1779f9c29da51f1de8939f1accfe2d"],"state_sha256":"9c81caceff80f15c7482253475cfed71385937ec7d3cb68ceec3e26d712356ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMdHyWdQZw77/fzXQbiew9pA14Nt/Uq6xeoywYs80zLsbr+Vw2K7eQOe/Vng9dxACp0ZxUfYfcW8KFqM80l4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T22:46:49.672249Z","bundle_sha256":"8fb9645ef0571abffae3a22be12f74ce2c9e570c4ef00f894628b9e1eb2ed9a3"}}