{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5IHSEH3JNHGNHARM6M2BQTLEZB","short_pith_number":"pith:5IHSEH3J","canonical_record":{"source":{"id":"1103.4254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T12:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"8dfde5764493176ff864fd2aae5187e48a782f44a44d1a9f23d3b9ae0c79fd11","abstract_canon_sha256":"7add8aa199ca37fbba858b85feff90e178fb6e44466e37aa076a10d033f03a27"},"schema_version":"1.0"},"canonical_sha256":"ea0f221f6969ccd3822cf334184d64c878ae152a19ef6f0506f70a185c4862f6","source":{"kind":"arxiv","id":"1103.4254","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4254","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4254v1","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4254","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"5IHSEH3JNHGN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5IHSEH3JNHGNHARM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5IHSEH3J","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5IHSEH3JNHGNHARM6M2BQTLEZB","target":"record","payload":{"canonical_record":{"source":{"id":"1103.4254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T12:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"8dfde5764493176ff864fd2aae5187e48a782f44a44d1a9f23d3b9ae0c79fd11","abstract_canon_sha256":"7add8aa199ca37fbba858b85feff90e178fb6e44466e37aa076a10d033f03a27"},"schema_version":"1.0"},"canonical_sha256":"ea0f221f6969ccd3822cf334184d64c878ae152a19ef6f0506f70a185c4862f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:21.284182Z","signature_b64":"Hvd1F9SMH7pGgW74v6X3ZkcK4Ia3uvvFWj2513byXu14L9JdvN67F8iKTteEHYSEBXDWVEdeARBEB3H3/SN3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea0f221f6969ccd3822cf334184d64c878ae152a19ef6f0506f70a185c4862f6","last_reissued_at":"2026-05-18T04:26:21.283683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:21.283683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.4254","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":"2026-05-18T04:26:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qd6XTupeSJRKprbz2bzFp2/UvLCpFbu1GaiR9xtvD4ZdsxmUQW6HsbfpjZrNzmG3GA4CP/3zxKauctVQTbwpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:57:13.019173Z"},"content_sha256":"870d467b2308f919902c69c73c17048e08098fccef0b66c1411c76ea538ea714","schema_version":"1.0","event_id":"sha256:870d467b2308f919902c69c73c17048e08098fccef0b66c1411c76ea538ea714"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5IHSEH3JNHGNHARM6M2BQTLEZB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Pair of Quasi-Inverse Functors for an Extension of Perverse Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Delphine Dupont","submitted_at":"2011-03-22T12:22:07Z","abstract_excerpt":"In their article \"Elementary construction of perverse sheaves\", R.MacPherson and K. Vilonen show that on a Thom-Mather space X the category PervX of perverse sheaves is equivalent to the category C(F, G, T) whose objects are data of perverse sheaves on the complementary of the closed strata S, a local system on S and some gluing data. To show this equivalence of categories, they define a functor C going from the category PervX to the category C(F, G, T). This definition is based on the notion of perverse link. They do not define a quasi-inverse of this functor. moreover they have to consider f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4254","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":"2026-05-18T04:26:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I71PjDV7xW79GCXseTgXDg5EDxSEhKj774aROg8hCZFg3LDMsUM9MoRClS7SEPIqgRdAe7UhlFewGVjuKMxUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:57:13.019524Z"},"content_sha256":"61f9f0fd289d4de1208fe773f35b5e9e5a9ffefce701713515235ce55dc33a91","schema_version":"1.0","event_id":"sha256:61f9f0fd289d4de1208fe773f35b5e9e5a9ffefce701713515235ce55dc33a91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/bundle.json","state_url":"https://pith.science/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/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":"2026-06-01T16:57:13Z","links":{"resolver":"https://pith.science/pith/5IHSEH3JNHGNHARM6M2BQTLEZB","bundle":"https://pith.science/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/bundle.json","state":"https://pith.science/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5IHSEH3JNHGNHARM6M2BQTLEZB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5IHSEH3JNHGNHARM6M2BQTLEZB","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":"7add8aa199ca37fbba858b85feff90e178fb6e44466e37aa076a10d033f03a27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T12:22:07Z","title_canon_sha256":"8dfde5764493176ff864fd2aae5187e48a782f44a44d1a9f23d3b9ae0c79fd11"},"schema_version":"1.0","source":{"id":"1103.4254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4254","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4254v1","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4254","created_at":"2026-05-18T04:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"5IHSEH3JNHGN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5IHSEH3JNHGNHARM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5IHSEH3J","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:61f9f0fd289d4de1208fe773f35b5e9e5a9ffefce701713515235ce55dc33a91","target":"graph","created_at":"2026-05-18T04:26:21Z","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":"In their article \"Elementary construction of perverse sheaves\", R.MacPherson and K. Vilonen show that on a Thom-Mather space X the category PervX of perverse sheaves is equivalent to the category C(F, G, T) whose objects are data of perverse sheaves on the complementary of the closed strata S, a local system on S and some gluing data. To show this equivalence of categories, they define a functor C going from the category PervX to the category C(F, G, T). This definition is based on the notion of perverse link. They do not define a quasi-inverse of this functor. moreover they have to consider f","authors_text":"Delphine Dupont","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T12:22:07Z","title":"A Pair of Quasi-Inverse Functors for an Extension of Perverse Sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4254","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":"sha256:870d467b2308f919902c69c73c17048e08098fccef0b66c1411c76ea538ea714","target":"record","created_at":"2026-05-18T04:26:21Z","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":"7add8aa199ca37fbba858b85feff90e178fb6e44466e37aa076a10d033f03a27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-22T12:22:07Z","title_canon_sha256":"8dfde5764493176ff864fd2aae5187e48a782f44a44d1a9f23d3b9ae0c79fd11"},"schema_version":"1.0","source":{"id":"1103.4254","kind":"arxiv","version":1}},"canonical_sha256":"ea0f221f6969ccd3822cf334184d64c878ae152a19ef6f0506f70a185c4862f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea0f221f6969ccd3822cf334184d64c878ae152a19ef6f0506f70a185c4862f6","first_computed_at":"2026-05-18T04:26:21.283683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:21.283683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hvd1F9SMH7pGgW74v6X3ZkcK4Ia3uvvFWj2513byXu14L9JdvN67F8iKTteEHYSEBXDWVEdeARBEB3H3/SN3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:21.284182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:870d467b2308f919902c69c73c17048e08098fccef0b66c1411c76ea538ea714","sha256:61f9f0fd289d4de1208fe773f35b5e9e5a9ffefce701713515235ce55dc33a91"],"state_sha256":"85208ff3b479ebdb1bd5f11c66a59e56932e0ea590a8ca38f21ead5629e277fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9mmkZme6tIIwxMr9gY3jCKE3ZQIuEPBS0zaDWGwpp59pVCeSMMLPIPhhwmRUwNT8dOm7O2MDwxLx+bI857DMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:57:13.022251Z","bundle_sha256":"3e0e8e853170987c9a80082ee022a252c6ed68aa323b83cf9f2e952329f4f649"}}