{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FGHJTRMC6D6SZADDNEQNNQKN3S","short_pith_number":"pith:FGHJTRMC","canonical_record":{"source":{"id":"1609.05956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-09-19T22:13:05Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"e7de6ae7ecf2e7cd7e981928b5536d03e96ee7ae934d6406fb963f6e7e54467e","abstract_canon_sha256":"a5c5c990169db6eb1e87f85c841f0bcf378f1b1e414923ccfb236f15958cc87b"},"schema_version":"1.0"},"canonical_sha256":"298e99c582f0fd2c80636920d6c14ddc80ece79f078f720ab7b73dd09abb2244","source":{"kind":"arxiv","id":"1609.05956","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05956","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05956v2","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05956","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"FGHJTRMC6D6S","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGHJTRMC6D6SZADD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGHJTRMC","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FGHJTRMC6D6SZADDNEQNNQKN3S","target":"record","payload":{"canonical_record":{"source":{"id":"1609.05956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-09-19T22:13:05Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"e7de6ae7ecf2e7cd7e981928b5536d03e96ee7ae934d6406fb963f6e7e54467e","abstract_canon_sha256":"a5c5c990169db6eb1e87f85c841f0bcf378f1b1e414923ccfb236f15958cc87b"},"schema_version":"1.0"},"canonical_sha256":"298e99c582f0fd2c80636920d6c14ddc80ece79f078f720ab7b73dd09abb2244","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:43.523283Z","signature_b64":"rEry9Z+ZE1fPhg/uVO9YPkz2nDePxDuvOXhVCDUs2tF3Qco/1DWZOkLwVhu3B1K6l/WijAsOt5+rjkfOv8WYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"298e99c582f0fd2c80636920d6c14ddc80ece79f078f720ab7b73dd09abb2244","last_reissued_at":"2026-05-17T23:48:43.522742Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:43.522742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.05956","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":"2026-05-17T23:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JN7BKkWdsADpPRZCnUxRN1DLfbaPdg/lHeHYqRp76tbVTaVMUEnfKYdmeP/lnRgmq5hSqr7ukZw6I/1ZoylGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:18:07.354009Z"},"content_sha256":"3a8e07cb6d19d645e379296b5077af329b5ac1c58178e23f860251599e47c673","schema_version":"1.0","event_id":"sha256:3a8e07cb6d19d645e379296b5077af329b5ac1c58178e23f860251599e47c673"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FGHJTRMC6D6SZADDNEQNNQKN3S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mixed Motives and Geometric Representation Theory in Equal Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.KT"],"primary_cat":"math.RT","authors_text":"Jens Niklas Eberhardt, Shane Kelly","submitted_at":"2016-09-19T22:13:05Z","abstract_excerpt":"Let $\\mathbb{k}$ be a field of characteristic $p$. We introduce a formalism of mixed sheaves with coefficients in $\\mathbb{k}$ and showcase its use in representation theory. More precisely, we construct for all quasi-projective schemes $X$ over an algebraic closure of $\\mathbb{F}_p$ a $\\mathbb{k}$-linear triangulated category of motives on $X$. Using work of Ayoub (2007), Cisinski-Deglise (2012) and Geisser-Levine (2000), we show that this system of categories has a six functors formalism and computes higher Chow groups. Indeed, it behaves similarly to other categories of sheaves that one is u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05956","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":"2026-05-17T23:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BgxLT6no9lUDgeI/sobnxRftrOrg7ox+OxtLX0tGCRtVelNZzhGYIWQKqxlUz41Xy+nny61ZyXCOC6m7PyttDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:18:07.354369Z"},"content_sha256":"9562090e9d17fe7d707e3af490ba17b8f8d9b4d9cf6d6d3017a58d04b7f751d8","schema_version":"1.0","event_id":"sha256:9562090e9d17fe7d707e3af490ba17b8f8d9b4d9cf6d6d3017a58d04b7f751d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/bundle.json","state_url":"https://pith.science/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/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":"2026-06-24T03:18:07Z","links":{"resolver":"https://pith.science/pith/FGHJTRMC6D6SZADDNEQNNQKN3S","bundle":"https://pith.science/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/bundle.json","state":"https://pith.science/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FGHJTRMC6D6SZADDNEQNNQKN3S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FGHJTRMC6D6SZADDNEQNNQKN3S","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":"a5c5c990169db6eb1e87f85c841f0bcf378f1b1e414923ccfb236f15958cc87b","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-09-19T22:13:05Z","title_canon_sha256":"e7de6ae7ecf2e7cd7e981928b5536d03e96ee7ae934d6406fb963f6e7e54467e"},"schema_version":"1.0","source":{"id":"1609.05956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05956","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05956v2","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05956","created_at":"2026-05-17T23:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"FGHJTRMC6D6S","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGHJTRMC6D6SZADD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGHJTRMC","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:9562090e9d17fe7d707e3af490ba17b8f8d9b4d9cf6d6d3017a58d04b7f751d8","target":"graph","created_at":"2026-05-17T23:48:43Z","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 $\\mathbb{k}$ be a field of characteristic $p$. We introduce a formalism of mixed sheaves with coefficients in $\\mathbb{k}$ and showcase its use in representation theory. More precisely, we construct for all quasi-projective schemes $X$ over an algebraic closure of $\\mathbb{F}_p$ a $\\mathbb{k}$-linear triangulated category of motives on $X$. Using work of Ayoub (2007), Cisinski-Deglise (2012) and Geisser-Levine (2000), we show that this system of categories has a six functors formalism and computes higher Chow groups. Indeed, it behaves similarly to other categories of sheaves that one is u","authors_text":"Jens Niklas Eberhardt, Shane Kelly","cross_cats":["math.AG","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-09-19T22:13:05Z","title":"Mixed Motives and Geometric Representation Theory in Equal Characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05956","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":"sha256:3a8e07cb6d19d645e379296b5077af329b5ac1c58178e23f860251599e47c673","target":"record","created_at":"2026-05-17T23:48:43Z","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":"a5c5c990169db6eb1e87f85c841f0bcf378f1b1e414923ccfb236f15958cc87b","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-09-19T22:13:05Z","title_canon_sha256":"e7de6ae7ecf2e7cd7e981928b5536d03e96ee7ae934d6406fb963f6e7e54467e"},"schema_version":"1.0","source":{"id":"1609.05956","kind":"arxiv","version":2}},"canonical_sha256":"298e99c582f0fd2c80636920d6c14ddc80ece79f078f720ab7b73dd09abb2244","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"298e99c582f0fd2c80636920d6c14ddc80ece79f078f720ab7b73dd09abb2244","first_computed_at":"2026-05-17T23:48:43.522742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:43.522742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rEry9Z+ZE1fPhg/uVO9YPkz2nDePxDuvOXhVCDUs2tF3Qco/1DWZOkLwVhu3B1K6l/WijAsOt5+rjkfOv8WYCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:43.523283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a8e07cb6d19d645e379296b5077af329b5ac1c58178e23f860251599e47c673","sha256:9562090e9d17fe7d707e3af490ba17b8f8d9b4d9cf6d6d3017a58d04b7f751d8"],"state_sha256":"653c9b5809321e9645c88e52cf828b872446d812fc9f86b1080acc85cca0d7c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vxCGeJOPDloFHK6972oDFn2Z59HqlvW48nXOwtI891piu6G4oXR0ytawAUYob2EehXEEkq5cshEcjNvUmCm2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T03:18:07.356323Z","bundle_sha256":"8f431ab15cd6219d044dfef717443851c1a153669c85aa2ed280ff44ed67c93b"}}