{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:OCLKC2ZVGD7VTK54BQTMP7NVK6","short_pith_number":"pith:OCLKC2ZV","canonical_record":{"source":{"id":"0907.4496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-07-26T16:36:30Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5b8a83cee3dee02da429395da71e347885efd62462cdc3f8fc7ddf723e14fc27","abstract_canon_sha256":"054fee0d08a1ed0cbd0e1d5bad6f1e4f88de5242a05e4abade14725289f0006e"},"schema_version":"1.0"},"canonical_sha256":"7096a16b3530ff59abbc0c26c7fdb557b3ad73393a67aaceedd5501b4bc209ea","source":{"kind":"arxiv","id":"0907.4496","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4496","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4496v1","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4496","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"OCLKC2ZVGD7V","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OCLKC2ZVGD7VTK54","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OCLKC2ZV","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:OCLKC2ZVGD7VTK54BQTMP7NVK6","target":"record","payload":{"canonical_record":{"source":{"id":"0907.4496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-07-26T16:36:30Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5b8a83cee3dee02da429395da71e347885efd62462cdc3f8fc7ddf723e14fc27","abstract_canon_sha256":"054fee0d08a1ed0cbd0e1d5bad6f1e4f88de5242a05e4abade14725289f0006e"},"schema_version":"1.0"},"canonical_sha256":"7096a16b3530ff59abbc0c26c7fdb557b3ad73393a67aaceedd5501b4bc209ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:24.198939Z","signature_b64":"vGkmuTscoR0qw1TOf65LO/zFd3I5KmMCPv675X9Rts1ugPMgfgwl22rBuQ9GstYZIlpJn4qwC/PMzX/mXiMZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7096a16b3530ff59abbc0c26c7fdb557b3ad73393a67aaceedd5501b4bc209ea","last_reissued_at":"2026-05-18T00:50:24.198361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:24.198361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.4496","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":"2026-05-18T00:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oS6Et6PEDmFKpe+g/rBP7Rxro3kN4SqJC7aStxDcmLKueqEJdYSafNaA64FvC0HrVJRgJEZedXTrZe4tkQsnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:45:04.099727Z"},"content_sha256":"46c36657b807c154e521a2e83d820a54da8b26454780ee92fe9dda18f639d1f5","schema_version":"1.0","event_id":"sha256:46c36657b807c154e521a2e83d820a54da8b26454780ee92fe9dda18f639d1f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:OCLKC2ZVGD7VTK54BQTMP7NVK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An upper bound on the essential dimension of a central simple algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RA","authors_text":"Aurel Meyer, Zinovy Reichstein","submitted_at":"2009-07-26T16:36:30Z","abstract_excerpt":"We prove a new upper bound on the essential p-dimension of the projective linear group PGLn."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4496","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":"2026-05-18T00:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACYxDwWMkBevIogdWW8xUJuOcnQYMPgU2PjttvqKacxeRehcBERdNWEcgkR08R7Wf3sL+T2o+iIlfQUPmDcpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:45:04.100058Z"},"content_sha256":"2ed49c24ba347eaf7f1292b7a3f01707eb60c9ac439cff5c01d169549704e3bd","schema_version":"1.0","event_id":"sha256:2ed49c24ba347eaf7f1292b7a3f01707eb60c9ac439cff5c01d169549704e3bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/bundle.json","state_url":"https://pith.science/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/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":"2026-06-23T16:45:04Z","links":{"resolver":"https://pith.science/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6","bundle":"https://pith.science/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/bundle.json","state":"https://pith.science/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCLKC2ZVGD7VTK54BQTMP7NVK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OCLKC2ZVGD7VTK54BQTMP7NVK6","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":"054fee0d08a1ed0cbd0e1d5bad6f1e4f88de5242a05e4abade14725289f0006e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-07-26T16:36:30Z","title_canon_sha256":"5b8a83cee3dee02da429395da71e347885efd62462cdc3f8fc7ddf723e14fc27"},"schema_version":"1.0","source":{"id":"0907.4496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4496","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4496v1","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4496","created_at":"2026-05-18T00:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"OCLKC2ZVGD7V","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OCLKC2ZVGD7VTK54","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OCLKC2ZV","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:2ed49c24ba347eaf7f1292b7a3f01707eb60c9ac439cff5c01d169549704e3bd","target":"graph","created_at":"2026-05-18T00:50:24Z","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 prove a new upper bound on the essential p-dimension of the projective linear group PGLn.","authors_text":"Aurel Meyer, Zinovy Reichstein","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-07-26T16:36:30Z","title":"An upper bound on the essential dimension of a central simple algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4496","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":"sha256:46c36657b807c154e521a2e83d820a54da8b26454780ee92fe9dda18f639d1f5","target":"record","created_at":"2026-05-18T00:50:24Z","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":"054fee0d08a1ed0cbd0e1d5bad6f1e4f88de5242a05e4abade14725289f0006e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-07-26T16:36:30Z","title_canon_sha256":"5b8a83cee3dee02da429395da71e347885efd62462cdc3f8fc7ddf723e14fc27"},"schema_version":"1.0","source":{"id":"0907.4496","kind":"arxiv","version":1}},"canonical_sha256":"7096a16b3530ff59abbc0c26c7fdb557b3ad73393a67aaceedd5501b4bc209ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7096a16b3530ff59abbc0c26c7fdb557b3ad73393a67aaceedd5501b4bc209ea","first_computed_at":"2026-05-18T00:50:24.198361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:24.198361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGkmuTscoR0qw1TOf65LO/zFd3I5KmMCPv675X9Rts1ugPMgfgwl22rBuQ9GstYZIlpJn4qwC/PMzX/mXiMZAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:24.198939Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.4496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46c36657b807c154e521a2e83d820a54da8b26454780ee92fe9dda18f639d1f5","sha256:2ed49c24ba347eaf7f1292b7a3f01707eb60c9ac439cff5c01d169549704e3bd"],"state_sha256":"ceacacf7dcc338bdc7d45af3667786211b15250990a5f4ba1f91f2af8cb2fdee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q7YncDaBJ4EVz/xNftB+UOepG2dl6RIH6NjKsl1hAlWVJg9OhT59JAG7Ttb4L6WNSzR6/yPk0LqrS9ZdcPYgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:45:04.102096Z","bundle_sha256":"2a88f5a2aacfa7797d85c33a8d2fcfa7f4a25bc0c3f681df6b13921cc995545d"}}