{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NBKEEYWA2FC4DVGSQWYX7YP3AK","short_pith_number":"pith:NBKEEYWA","canonical_record":{"source":{"id":"1204.2247","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-10T18:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"7fa0bfe2a8bd88542c1546f0f8663135da25e0e9e3a1ffb98e9e34c4c9ae8034","abstract_canon_sha256":"b28e9c56bd79a86835b87b6f60d6e73929cea1fbd89f1a2075cad80ade7d265a"},"schema_version":"1.0"},"canonical_sha256":"68544262c0d145c1d4d285b17fe1fb02b1cbcc8567cbdc21c625429a1e916099","source":{"kind":"arxiv","id":"1204.2247","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2247","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2247v3","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2247","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"pith_short_12","alias_value":"NBKEEYWA2FC4","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NBKEEYWA2FC4DVGS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NBKEEYWA","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NBKEEYWA2FC4DVGSQWYX7YP3AK","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2247","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-10T18:54:59Z","cross_cats_sorted":[],"title_canon_sha256":"7fa0bfe2a8bd88542c1546f0f8663135da25e0e9e3a1ffb98e9e34c4c9ae8034","abstract_canon_sha256":"b28e9c56bd79a86835b87b6f60d6e73929cea1fbd89f1a2075cad80ade7d265a"},"schema_version":"1.0"},"canonical_sha256":"68544262c0d145c1d4d285b17fe1fb02b1cbcc8567cbdc21c625429a1e916099","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:22.194419Z","signature_b64":"wrsozJO0cI2tN7E9yR4ISrn9q5lTW/xXAA+UOU70Pd+8fRGSYYZcf2lqbqBXk9zRTw4rTmxYrMWXIHNK//T8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68544262c0d145c1d4d285b17fe1fb02b1cbcc8567cbdc21c625429a1e916099","last_reissued_at":"2026-05-18T01:29:22.193793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:22.193793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2247","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":"2026-05-18T01:29:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TMFuwRxHfRs/C4RZvoKvGjGfVOHGlvNE1gJUmADrufPwDuNvmjp0NRJaGURmMKbiKKERLoPiCzMMcNdwqn+XBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:41:23.068386Z"},"content_sha256":"b7516848692d6864551f8648825561c63a3feaa226a6d94bc4c4c32e8ec07ec8","schema_version":"1.0","event_id":"sha256:b7516848692d6864551f8648825561c63a3feaa226a6d94bc4c4c32e8ec07ec8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NBKEEYWA2FC4DVGSQWYX7YP3AK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degenerate Perverse Sheaves on Abelian Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Rainer Weissauer","submitted_at":"2012-04-10T18:54:59Z","abstract_excerpt":"We analyze irreducible perverse sheaves on abelian varieties, defined over the complex numbers or the algebraic closure of a finite field, whose Euler characteristic is zero. We give a description of such perverse sheaves under assumptions for the case of simple abelian varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2247","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":"2026-05-18T01:29:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9a9TyoDDrxq6AsCKz870AIAkQCwGMIFlQDWFtc84ayMf6ROCWx1dZJAz1uVlXxJTnwOGwmcPfOQtsXsCPC8PCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:41:23.068932Z"},"content_sha256":"b9c886f92c00584060fa5cf5979e46eb7ca33a9cd53fd436bb97d6700dcf861b","schema_version":"1.0","event_id":"sha256:b9c886f92c00584060fa5cf5979e46eb7ca33a9cd53fd436bb97d6700dcf861b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/bundle.json","state_url":"https://pith.science/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/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":"2026-06-12T04:41:23Z","links":{"resolver":"https://pith.science/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK","bundle":"https://pith.science/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/bundle.json","state":"https://pith.science/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBKEEYWA2FC4DVGSQWYX7YP3AK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NBKEEYWA2FC4DVGSQWYX7YP3AK","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":"b28e9c56bd79a86835b87b6f60d6e73929cea1fbd89f1a2075cad80ade7d265a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-10T18:54:59Z","title_canon_sha256":"7fa0bfe2a8bd88542c1546f0f8663135da25e0e9e3a1ffb98e9e34c4c9ae8034"},"schema_version":"1.0","source":{"id":"1204.2247","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2247","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2247v3","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2247","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"pith_short_12","alias_value":"NBKEEYWA2FC4","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NBKEEYWA2FC4DVGS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NBKEEYWA","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:b9c886f92c00584060fa5cf5979e46eb7ca33a9cd53fd436bb97d6700dcf861b","target":"graph","created_at":"2026-05-18T01:29:22Z","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 analyze irreducible perverse sheaves on abelian varieties, defined over the complex numbers or the algebraic closure of a finite field, whose Euler characteristic is zero. We give a description of such perverse sheaves under assumptions for the case of simple abelian varieties.","authors_text":"Rainer Weissauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-10T18:54:59Z","title":"Degenerate Perverse Sheaves on Abelian Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2247","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:b7516848692d6864551f8648825561c63a3feaa226a6d94bc4c4c32e8ec07ec8","target":"record","created_at":"2026-05-18T01:29:22Z","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":"b28e9c56bd79a86835b87b6f60d6e73929cea1fbd89f1a2075cad80ade7d265a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-10T18:54:59Z","title_canon_sha256":"7fa0bfe2a8bd88542c1546f0f8663135da25e0e9e3a1ffb98e9e34c4c9ae8034"},"schema_version":"1.0","source":{"id":"1204.2247","kind":"arxiv","version":3}},"canonical_sha256":"68544262c0d145c1d4d285b17fe1fb02b1cbcc8567cbdc21c625429a1e916099","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68544262c0d145c1d4d285b17fe1fb02b1cbcc8567cbdc21c625429a1e916099","first_computed_at":"2026-05-18T01:29:22.193793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:22.193793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wrsozJO0cI2tN7E9yR4ISrn9q5lTW/xXAA+UOU70Pd+8fRGSYYZcf2lqbqBXk9zRTw4rTmxYrMWXIHNK//T8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:22.194419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2247","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7516848692d6864551f8648825561c63a3feaa226a6d94bc4c4c32e8ec07ec8","sha256:b9c886f92c00584060fa5cf5979e46eb7ca33a9cd53fd436bb97d6700dcf861b"],"state_sha256":"401316c9fae05a63891dcc270eb73faaa4ca39f1196ffd00cd0d4f57525117fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v53kB00zA4cpJEhq3uyjHAiKPr5qdw7L2v6ojFJ4urja9TVPUqDb1UNir09TR3OJXD2qXm8/8AgcEPofAb4WBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:41:23.071770Z","bundle_sha256":"70e2879737b2c803edfbd9621fdf3b580335bd29225f36af23f87e036ca2039f"}}