{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XVRXOJPBLGTXHFYQH2A4R3LMIG","short_pith_number":"pith:XVRXOJPB","canonical_record":{"source":{"id":"2606.13545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-11T16:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"154cca1ce6037f06455ff19552b9794ebb986a31e39ffd7809503a76221235db","abstract_canon_sha256":"b8cfc6dbcebed951a6a2fc27a90fa1d422aff8939ed3bd5f307f269b08c80e8d"},"schema_version":"1.0"},"canonical_sha256":"bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6","source":{"kind":"arxiv","id":"2606.13545","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13545","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13545v1","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13545","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"XVRXOJPBLGTX","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"XVRXOJPBLGTXHFYQ","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"XVRXOJPB","created_at":"2026-06-12T01:10:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XVRXOJPBLGTXHFYQH2A4R3LMIG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.13545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-11T16:28:22Z","cross_cats_sorted":[],"title_canon_sha256":"154cca1ce6037f06455ff19552b9794ebb986a31e39ffd7809503a76221235db","abstract_canon_sha256":"b8cfc6dbcebed951a6a2fc27a90fa1d422aff8939ed3bd5f307f269b08c80e8d"},"schema_version":"1.0"},"canonical_sha256":"bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:10:09.502559Z","signature_b64":"kd6KxTZFsejZipPDh6IjN+NvlwHP04qJHjKUvl95ZV2yb4MwE5ksabNIVj/tQ1uMLALZIrvK9KmhSyPpzgEGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6","last_reissued_at":"2026-06-12T01:10:09.501940Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:10:09.501940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.13545","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":"2026-06-12T01:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QDPh07BLSR6pis4UW+y5OL2BropBQ9v2pUdTfdWUxZxks6v5/BNftodR0fOSv7NciX3HDZrtfqqSia4MXz84Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:16:02.171147Z"},"content_sha256":"72216da0158e0617a769c099a612c9d5e929be3d80b478ef4b9bd47459fc0339","schema_version":"1.0","event_id":"sha256:72216da0158e0617a769c099a612c9d5e929be3d80b478ef4b9bd47459fc0339"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XVRXOJPBLGTXHFYQH2A4R3LMIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A survey of character sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"G. Lusztig","submitted_at":"2026-06-11T16:28:22Z","abstract_excerpt":"This is essentially the content of a talk at the workshop on Character Sheaves on Loop Groups at the University of Minnesota (June 8,2026). It describes the early days of the theory and also some recent developments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13545","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13545/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-12T01:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W9mZgse2Gx7IaCFdZ+9tDuoWtwSXOzqrNspMo4Y7h8qlMaoHLRexKyMNvMewHBLtY115aHcChaKvy5EQQTcBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:16:02.171766Z"},"content_sha256":"9d1eed08ee9e7630ef21b279f8a613fd7ee7deb44bbc9b86733bcd63376791a5","schema_version":"1.0","event_id":"sha256:9d1eed08ee9e7630ef21b279f8a613fd7ee7deb44bbc9b86733bcd63376791a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/bundle.json","state_url":"https://pith.science/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/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":"2026-08-09T12:16:02Z","links":{"resolver":"https://pith.science/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG","bundle":"https://pith.science/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/bundle.json","state":"https://pith.science/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVRXOJPBLGTXHFYQH2A4R3LMIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XVRXOJPBLGTXHFYQH2A4R3LMIG","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":"b8cfc6dbcebed951a6a2fc27a90fa1d422aff8939ed3bd5f307f269b08c80e8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-11T16:28:22Z","title_canon_sha256":"154cca1ce6037f06455ff19552b9794ebb986a31e39ffd7809503a76221235db"},"schema_version":"1.0","source":{"id":"2606.13545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13545","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13545v1","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13545","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"XVRXOJPBLGTX","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"XVRXOJPBLGTXHFYQ","created_at":"2026-06-12T01:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"XVRXOJPB","created_at":"2026-06-12T01:10:09Z"}],"graph_snapshots":[{"event_id":"sha256:9d1eed08ee9e7630ef21b279f8a613fd7ee7deb44bbc9b86733bcd63376791a5","target":"graph","created_at":"2026-06-12T01:10:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.13545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is essentially the content of a talk at the workshop on Character Sheaves on Loop Groups at the University of Minnesota (June 8,2026). It describes the early days of the theory and also some recent developments.","authors_text":"G. Lusztig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-11T16:28:22Z","title":"A survey of character sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13545","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":"sha256:72216da0158e0617a769c099a612c9d5e929be3d80b478ef4b9bd47459fc0339","target":"record","created_at":"2026-06-12T01:10:09Z","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":"b8cfc6dbcebed951a6a2fc27a90fa1d422aff8939ed3bd5f307f269b08c80e8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-11T16:28:22Z","title_canon_sha256":"154cca1ce6037f06455ff19552b9794ebb986a31e39ffd7809503a76221235db"},"schema_version":"1.0","source":{"id":"2606.13545","kind":"arxiv","version":1}},"canonical_sha256":"bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd637725e159a77397103e81c8ed6c41b8a14defc678718ff0cfb01f2b2dddb6","first_computed_at":"2026-06-12T01:10:09.501940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:10:09.501940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kd6KxTZFsejZipPDh6IjN+NvlwHP04qJHjKUvl95ZV2yb4MwE5ksabNIVj/tQ1uMLALZIrvK9KmhSyPpzgEGBg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:10:09.502559Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72216da0158e0617a769c099a612c9d5e929be3d80b478ef4b9bd47459fc0339","sha256:9d1eed08ee9e7630ef21b279f8a613fd7ee7deb44bbc9b86733bcd63376791a5"],"state_sha256":"318d10da01e6a17844cc371a7afba37209b8861d4ab9eaf3f1257d9f1a12bb11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TVdCcA2HRBEnM7Hul4k7+ktlYLkatw0u8PiqSy5xgu1YU91Dsbc7KUurS9jO/8H+ySsWD5w6LvWFu/e4hNlYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T12:16:02.177583Z","bundle_sha256":"565323260c8fd8dc4f76e2cfa4e434400f941cc90556899ebd52946c58fc9bbb"}}