{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IMNFFPG4H6CMSBVW4XZOFX3PLO","short_pith_number":"pith:IMNFFPG4","canonical_record":{"source":{"id":"1001.2633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-15T08:11:51Z","cross_cats_sorted":[],"title_canon_sha256":"90a56f465d6d77aea4416d89db38bd1599da03cb2f57745626d09c6d0fb781b9","abstract_canon_sha256":"d977c065f02da0371dc8a94e5efea9ca2a060059b93259f9113bf35b5a983398"},"schema_version":"1.0"},"canonical_sha256":"431a52bcdc3f84c906b6e5f2e2df6f5ba60d1070669cdfb0b3065dfc8769b1a5","source":{"kind":"arxiv","id":"1001.2633","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2633","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2633v1","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2633","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"pith_short_12","alias_value":"IMNFFPG4H6CM","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IMNFFPG4H6CMSBVW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IMNFFPG4","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IMNFFPG4H6CMSBVW4XZOFX3PLO","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-15T08:11:51Z","cross_cats_sorted":[],"title_canon_sha256":"90a56f465d6d77aea4416d89db38bd1599da03cb2f57745626d09c6d0fb781b9","abstract_canon_sha256":"d977c065f02da0371dc8a94e5efea9ca2a060059b93259f9113bf35b5a983398"},"schema_version":"1.0"},"canonical_sha256":"431a52bcdc3f84c906b6e5f2e2df6f5ba60d1070669cdfb0b3065dfc8769b1a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:56.975038Z","signature_b64":"8W8kf97Z8G2GmH1YekV7h0FFwIF4dmWUe+hMW7DGhJHLO25+9je0OFfOsHaiYVbPXI4Df11oAVMT6khLHCt8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"431a52bcdc3f84c906b6e5f2e2df6f5ba60d1070669cdfb0b3065dfc8769b1a5","last_reissued_at":"2026-05-18T04:13:56.974605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:56.974605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2633","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":"2026-05-18T04:13:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nu2kNJ0RvWjC75zpROAIdY4WFrbAefF/lmk0zo34NcyCkVKa3W30DHZHMoDz/6QF2oC40djQKHw39ZL1Gfj9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:26:07.709133Z"},"content_sha256":"f319ca98c961438d039b61c89023b25dae267ba73a58ee86cd2fdda2efec72e3","schema_version":"1.0","event_id":"sha256:f319ca98c961438d039b61c89023b25dae267ba73a58ee86cd2fdda2efec72e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IMNFFPG4H6CMSBVW4XZOFX3PLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cuspidal $\\mathfrak{sl}_n$-modules and deformations of certain Brauer tree algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Catharina Stroppel, Volodymyr Mazorchuk","submitted_at":"2010-01-15T08:11:51Z","abstract_excerpt":"We show that the algebras describing blocks of the category of cuspidal weight (respectively generalized weight) $\\mathfrak{sl}_n$-modules are one-parameter (respectively multi-parameter) deformations of certain Brauer tree algebras. We explicitly determine these deformations both graded and ungraded. The algebras we deform also appear as special centralizer subalgebras of Temperley-Lieb algebras or as generalized Khovanov algebras. They show up in the context of highest weight representations of the Virasoro algebra, in the context of rational representations of the general linear group and S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2633","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":"2026-05-18T04:13:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kzTfoXLQd35q2/oT6KmxWBTdTc4fz4TodEKIY7bB2tUtbpqrb2ySejkq9uXDxadAvXmlBsqs4kTxeO74x/qIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:26:07.709501Z"},"content_sha256":"73bee123b2737abfc4c470367fbde32395642bb77f823bfce2a6ca5690cbf863","schema_version":"1.0","event_id":"sha256:73bee123b2737abfc4c470367fbde32395642bb77f823bfce2a6ca5690cbf863"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/bundle.json","state_url":"https://pith.science/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/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":"2026-05-31T23:26:07Z","links":{"resolver":"https://pith.science/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO","bundle":"https://pith.science/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/bundle.json","state":"https://pith.science/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMNFFPG4H6CMSBVW4XZOFX3PLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IMNFFPG4H6CMSBVW4XZOFX3PLO","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":"d977c065f02da0371dc8a94e5efea9ca2a060059b93259f9113bf35b5a983398","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-15T08:11:51Z","title_canon_sha256":"90a56f465d6d77aea4416d89db38bd1599da03cb2f57745626d09c6d0fb781b9"},"schema_version":"1.0","source":{"id":"1001.2633","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2633","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2633v1","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2633","created_at":"2026-05-18T04:13:56Z"},{"alias_kind":"pith_short_12","alias_value":"IMNFFPG4H6CM","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IMNFFPG4H6CMSBVW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IMNFFPG4","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:73bee123b2737abfc4c470367fbde32395642bb77f823bfce2a6ca5690cbf863","target":"graph","created_at":"2026-05-18T04:13:56Z","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 show that the algebras describing blocks of the category of cuspidal weight (respectively generalized weight) $\\mathfrak{sl}_n$-modules are one-parameter (respectively multi-parameter) deformations of certain Brauer tree algebras. We explicitly determine these deformations both graded and ungraded. The algebras we deform also appear as special centralizer subalgebras of Temperley-Lieb algebras or as generalized Khovanov algebras. They show up in the context of highest weight representations of the Virasoro algebra, in the context of rational representations of the general linear group and S","authors_text":"Catharina Stroppel, Volodymyr Mazorchuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-15T08:11:51Z","title":"Cuspidal $\\mathfrak{sl}_n$-modules and deformations of certain Brauer tree algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2633","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:f319ca98c961438d039b61c89023b25dae267ba73a58ee86cd2fdda2efec72e3","target":"record","created_at":"2026-05-18T04:13:56Z","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":"d977c065f02da0371dc8a94e5efea9ca2a060059b93259f9113bf35b5a983398","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-15T08:11:51Z","title_canon_sha256":"90a56f465d6d77aea4416d89db38bd1599da03cb2f57745626d09c6d0fb781b9"},"schema_version":"1.0","source":{"id":"1001.2633","kind":"arxiv","version":1}},"canonical_sha256":"431a52bcdc3f84c906b6e5f2e2df6f5ba60d1070669cdfb0b3065dfc8769b1a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"431a52bcdc3f84c906b6e5f2e2df6f5ba60d1070669cdfb0b3065dfc8769b1a5","first_computed_at":"2026-05-18T04:13:56.974605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:56.974605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8W8kf97Z8G2GmH1YekV7h0FFwIF4dmWUe+hMW7DGhJHLO25+9je0OFfOsHaiYVbPXI4Df11oAVMT6khLHCt8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:56.975038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2633","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f319ca98c961438d039b61c89023b25dae267ba73a58ee86cd2fdda2efec72e3","sha256:73bee123b2737abfc4c470367fbde32395642bb77f823bfce2a6ca5690cbf863"],"state_sha256":"d7f614e4505969fc3335f163e4ffc2cede75261135f3797b5e7c404bac655c0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uzs3XzW6vMHScNK92zpAIMyVFSqt2IYc2ROmoMBKZUhgBljtGm/AVnwIKFJkzXVG3Jr8v3fQQ4GQjGl+Md4PAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:26:07.711626Z","bundle_sha256":"ab9e7c8af05041509e899c5b721be0b2460989788d0b6ba8e75cdbf3a91552b1"}}