{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RVJUEZAGLSFWNIB75N6Y7FKL7M","short_pith_number":"pith:RVJUEZAG","canonical_record":{"source":{"id":"1602.00645","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-01T19:11:25Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"dc5e61436ec9370e4c328c7cd01ff7262fe6231fe42c6a10720fa21252bc2d91","abstract_canon_sha256":"f8a1a443762814c40803f877454da9c390b3852670174bc7759df32d38686e29"},"schema_version":"1.0"},"canonical_sha256":"8d534264065c8b66a03feb7d8f954bfb29e8b68befc910ad26ee7b552dfcb172","source":{"kind":"arxiv","id":"1602.00645","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00645","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00645v3","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00645","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"pith_short_12","alias_value":"RVJUEZAGLSFW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RVJUEZAGLSFWNIB7","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RVJUEZAG","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RVJUEZAGLSFWNIB75N6Y7FKL7M","target":"record","payload":{"canonical_record":{"source":{"id":"1602.00645","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-01T19:11:25Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"dc5e61436ec9370e4c328c7cd01ff7262fe6231fe42c6a10720fa21252bc2d91","abstract_canon_sha256":"f8a1a443762814c40803f877454da9c390b3852670174bc7759df32d38686e29"},"schema_version":"1.0"},"canonical_sha256":"8d534264065c8b66a03feb7d8f954bfb29e8b68befc910ad26ee7b552dfcb172","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:48.993403Z","signature_b64":"x1bYFcL3O8NFAarD3AufPi8noLjCwLAiat0eeHE82mUn/kzFnGnAR6Z1SqQtL5/wcA36CuE7qISPlzIYtU7BBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d534264065c8b66a03feb7d8f954bfb29e8b68befc910ad26ee7b552dfcb172","last_reissued_at":"2026-05-18T00:42:48.992712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:48.992712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.00645","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ivpd5PhsGO0y3US1xI2xoRot60FBIAa2ECq47XZvtwwo4SQ541eQwS2SGWK/Z+B2E3QrozbwhMhzSt+bKV7eAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:15:15.336869Z"},"content_sha256":"a365264b9d360a17d43c1e503b1d2bb61f2ed2f71e4491d9b78f67b5fc050946","schema_version":"1.0","event_id":"sha256:a365264b9d360a17d43c1e503b1d2bb61f2ed2f71e4491d9b78f67b5fc050946"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RVJUEZAGLSFWNIB75N6Y7FKL7M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frobenius semisimplicity for convolution morphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Li Li, Mark Andrea de Cataldo, Thomas J. Haines","submitted_at":"2016-02-01T19:11:25Z","abstract_excerpt":"This article concerns properties of mixed $\\ell$-adic complexes on varieties over finite fields, related to the action of the Frobenius automorphism. We establish a fiberwise criterion for the semisimplicity and Frobenius semisimplicity of the direct image complex under a proper morphism of varieties over a finite field. We conjecture that the direct image of the intersection complex on the domain is always semisimple and Frobenius semisimple; this conjecture would imply that a strong form of the decomposition theorem of Beilinson-Bernstein-Deligne-Gabber is valid over finite fields. We prove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00645","kind":"arxiv","version":3},"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":"2026-05-18T00:42:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/fs3eoVj5JeISvRnc6fT1VSezRYURw/InTmdbkQQTktZbyh7wP0uucEUs2s1dyInRmUuWB+RLVF5PgXg8bQtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:15:15.337436Z"},"content_sha256":"d9ac0eef87db7cfd612842f417932b13a2e9cf50b13d823561f8c8f3ebe3abb3","schema_version":"1.0","event_id":"sha256:d9ac0eef87db7cfd612842f417932b13a2e9cf50b13d823561f8c8f3ebe3abb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/bundle.json","state_url":"https://pith.science/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/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":"2026-05-28T19:15:15Z","links":{"resolver":"https://pith.science/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M","bundle":"https://pith.science/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/bundle.json","state":"https://pith.science/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVJUEZAGLSFWNIB75N6Y7FKL7M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RVJUEZAGLSFWNIB75N6Y7FKL7M","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":"f8a1a443762814c40803f877454da9c390b3852670174bc7759df32d38686e29","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-01T19:11:25Z","title_canon_sha256":"dc5e61436ec9370e4c328c7cd01ff7262fe6231fe42c6a10720fa21252bc2d91"},"schema_version":"1.0","source":{"id":"1602.00645","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00645","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00645v3","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00645","created_at":"2026-05-18T00:42:48Z"},{"alias_kind":"pith_short_12","alias_value":"RVJUEZAGLSFW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RVJUEZAGLSFWNIB7","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RVJUEZAG","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:d9ac0eef87db7cfd612842f417932b13a2e9cf50b13d823561f8c8f3ebe3abb3","target":"graph","created_at":"2026-05-18T00:42:48Z","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":"This article concerns properties of mixed $\\ell$-adic complexes on varieties over finite fields, related to the action of the Frobenius automorphism. We establish a fiberwise criterion for the semisimplicity and Frobenius semisimplicity of the direct image complex under a proper morphism of varieties over a finite field. We conjecture that the direct image of the intersection complex on the domain is always semisimple and Frobenius semisimple; this conjecture would imply that a strong form of the decomposition theorem of Beilinson-Bernstein-Deligne-Gabber is valid over finite fields. We prove ","authors_text":"Li Li, Mark Andrea de Cataldo, Thomas J. Haines","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-01T19:11:25Z","title":"Frobenius semisimplicity for convolution morphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00645","kind":"arxiv","version":3},"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:a365264b9d360a17d43c1e503b1d2bb61f2ed2f71e4491d9b78f67b5fc050946","target":"record","created_at":"2026-05-18T00:42:48Z","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":"f8a1a443762814c40803f877454da9c390b3852670174bc7759df32d38686e29","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-01T19:11:25Z","title_canon_sha256":"dc5e61436ec9370e4c328c7cd01ff7262fe6231fe42c6a10720fa21252bc2d91"},"schema_version":"1.0","source":{"id":"1602.00645","kind":"arxiv","version":3}},"canonical_sha256":"8d534264065c8b66a03feb7d8f954bfb29e8b68befc910ad26ee7b552dfcb172","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d534264065c8b66a03feb7d8f954bfb29e8b68befc910ad26ee7b552dfcb172","first_computed_at":"2026-05-18T00:42:48.992712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:48.992712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x1bYFcL3O8NFAarD3AufPi8noLjCwLAiat0eeHE82mUn/kzFnGnAR6Z1SqQtL5/wcA36CuE7qISPlzIYtU7BBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:48.993403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00645","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a365264b9d360a17d43c1e503b1d2bb61f2ed2f71e4491d9b78f67b5fc050946","sha256:d9ac0eef87db7cfd612842f417932b13a2e9cf50b13d823561f8c8f3ebe3abb3"],"state_sha256":"aeef286ffae3e49410f1376f92c5eb58aa8c71077a24ee38f6717853afed837f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Szcwjs9MPi6ccTtk97+a71GZ4nfIEcGwZ8qtGSM5wOlfso2qTXtrBxnahfffHwbPM6VkzbyNBnsWBLF7jj/UCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:15:15.340952Z","bundle_sha256":"28cb9dec05459a30e066ae353577fa60502031fee5c5b14284b2b1acfc590cd6"}}