{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CWVE2BBSUXP4I6MXQGXRA2UXWI","short_pith_number":"pith:CWVE2BBS","canonical_record":{"source":{"id":"1701.03124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T19:14:48Z","cross_cats_sorted":[],"title_canon_sha256":"3cf352795b39f3b3027db9845542bac760c9c7abd991c2814b8af241d8c53505","abstract_canon_sha256":"f74952f4326400a613eda3ea1bba2ff2f8edeb12dd82e9cdeedc25b57a339a6a"},"schema_version":"1.0"},"canonical_sha256":"15aa4d0432a5dfc4799781af106a97b216545387b848a2ffb1feebd76e7a13af","source":{"kind":"arxiv","id":"1701.03124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03124","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03124v1","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03124","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"CWVE2BBSUXP4","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CWVE2BBSUXP4I6MX","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CWVE2BBS","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CWVE2BBSUXP4I6MXQGXRA2UXWI","target":"record","payload":{"canonical_record":{"source":{"id":"1701.03124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T19:14:48Z","cross_cats_sorted":[],"title_canon_sha256":"3cf352795b39f3b3027db9845542bac760c9c7abd991c2814b8af241d8c53505","abstract_canon_sha256":"f74952f4326400a613eda3ea1bba2ff2f8edeb12dd82e9cdeedc25b57a339a6a"},"schema_version":"1.0"},"canonical_sha256":"15aa4d0432a5dfc4799781af106a97b216545387b848a2ffb1feebd76e7a13af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:59.228459Z","signature_b64":"fAMHWW3wL4HWwZYxpT/Gdo46oEmQcEC1ZiaRytQ+pgXnefI3oT61JIescb6SVJ1tf/rhDepYtgp6sdcb2chbDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15aa4d0432a5dfc4799781af106a97b216545387b848a2ffb1feebd76e7a13af","last_reissued_at":"2026-05-18T00:52:59.228069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:59.228069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.03124","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":"2026-05-18T00:52:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMVl7AdFKPvMD88iLxH3z86s92v4ut92fRrMWBFExrMbUKrUwp9YB0RMMTn4bVnP/9BnPFEpv2SAbbGmxYQwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:51:50.216989Z"},"content_sha256":"0a46709d80bf6dfe90d06117d90c2585d58a0d1769bf27fca07863c0c83e0786","schema_version":"1.0","event_id":"sha256:0a46709d80bf6dfe90d06117d90c2585d58a0d1769bf27fca07863c0c83e0786"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CWVE2BBSUXP4I6MXQGXRA2UXWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Totaro's Question for Adjoint Groups of Types A_{1} and A_{2n}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Reed Gordon-Sarney","submitted_at":"2017-01-11T19:14:48Z","abstract_excerpt":"Let $G$ be a smooth connected linear algebraic group over a field $k$, and let $X$ be a $G$-torsor. Totaro asked: if $X$ admits a zero-cycle of degree $d \\geq 1$, then does $X$ have a closed \\'etale point of degree dividing $d$? We give an affirmative answer for absolutely simple classical adjoint groups of types $A_{1}$ and $A_{2n}$ over fields of characteristic $\\neq 2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03124","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":"2026-05-18T00:52:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oRW/MYXtsYrKWdQfLwhtp3fMTgCgJjBUyJ26yRnU4jEGBmnSZrGY86LN3vuyIT22E4br9RRw7D8L2fLp0LPTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:51:50.217338Z"},"content_sha256":"ed4c4aa474866a85d0b664b1a1ea019f51336e8fedb512958c4451dec6875134","schema_version":"1.0","event_id":"sha256:ed4c4aa474866a85d0b664b1a1ea019f51336e8fedb512958c4451dec6875134"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/bundle.json","state_url":"https://pith.science/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/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":"2026-06-26T05:51:50Z","links":{"resolver":"https://pith.science/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI","bundle":"https://pith.science/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/bundle.json","state":"https://pith.science/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWVE2BBSUXP4I6MXQGXRA2UXWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CWVE2BBSUXP4I6MXQGXRA2UXWI","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":"f74952f4326400a613eda3ea1bba2ff2f8edeb12dd82e9cdeedc25b57a339a6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T19:14:48Z","title_canon_sha256":"3cf352795b39f3b3027db9845542bac760c9c7abd991c2814b8af241d8c53505"},"schema_version":"1.0","source":{"id":"1701.03124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03124","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03124v1","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03124","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"CWVE2BBSUXP4","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CWVE2BBSUXP4I6MX","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CWVE2BBS","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:ed4c4aa474866a85d0b664b1a1ea019f51336e8fedb512958c4451dec6875134","target":"graph","created_at":"2026-05-18T00:52:59Z","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":"Let $G$ be a smooth connected linear algebraic group over a field $k$, and let $X$ be a $G$-torsor. Totaro asked: if $X$ admits a zero-cycle of degree $d \\geq 1$, then does $X$ have a closed \\'etale point of degree dividing $d$? We give an affirmative answer for absolutely simple classical adjoint groups of types $A_{1}$ and $A_{2n}$ over fields of characteristic $\\neq 2$.","authors_text":"Reed Gordon-Sarney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T19:14:48Z","title":"Totaro's Question for Adjoint Groups of Types A_{1} and A_{2n}"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03124","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":"sha256:0a46709d80bf6dfe90d06117d90c2585d58a0d1769bf27fca07863c0c83e0786","target":"record","created_at":"2026-05-18T00:52:59Z","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":"f74952f4326400a613eda3ea1bba2ff2f8edeb12dd82e9cdeedc25b57a339a6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T19:14:48Z","title_canon_sha256":"3cf352795b39f3b3027db9845542bac760c9c7abd991c2814b8af241d8c53505"},"schema_version":"1.0","source":{"id":"1701.03124","kind":"arxiv","version":1}},"canonical_sha256":"15aa4d0432a5dfc4799781af106a97b216545387b848a2ffb1feebd76e7a13af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15aa4d0432a5dfc4799781af106a97b216545387b848a2ffb1feebd76e7a13af","first_computed_at":"2026-05-18T00:52:59.228069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:59.228069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fAMHWW3wL4HWwZYxpT/Gdo46oEmQcEC1ZiaRytQ+pgXnefI3oT61JIescb6SVJ1tf/rhDepYtgp6sdcb2chbDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:59.228459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a46709d80bf6dfe90d06117d90c2585d58a0d1769bf27fca07863c0c83e0786","sha256:ed4c4aa474866a85d0b664b1a1ea019f51336e8fedb512958c4451dec6875134"],"state_sha256":"a087b9244e03cfb134c4a0f90ad90b7bb50cb20ed6bb98c63c3f2736e234e440"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zcZa9Wq90TCkUp9g9HNnYn1CIMYIRfZcL8dzFJyVomEEf74+Fdyj88OWq2IQS8UnM7czs2UYnOZf+2tPQ5UJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T05:51:50.219180Z","bundle_sha256":"926e97bdd82418b87fa059d864c362f9f054331a79cee32a185dcba016dcb851"}}