{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:BD4SKLEQM4FASBGPJIRTZJMCKF","short_pith_number":"pith:BD4SKLEQ","canonical_record":{"source":{"id":"math/0305095","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2003-05-06T17:13:04Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"ec9b9399ca6e89412cf180cd80841a6239c568c213a892ee76e8b8ae5ac6857d","abstract_canon_sha256":"022283f02e813cd29c74cce4d3ba8c51b0046e9709fc68c35b3662ed4b0c0af6"},"schema_version":"1.0"},"canonical_sha256":"08f9252c90670a0904cf4a233ca582515247841a0bf730eebfe722c2c2357061","source":{"kind":"arxiv","id":"math/0305095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0305095","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"arxiv_version","alias_value":"math/0305095v1","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0305095","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_12","alias_value":"BD4SKLEQM4FA","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_16","alias_value":"BD4SKLEQM4FASBGP","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_8","alias_value":"BD4SKLEQ","created_at":"2026-07-04T14:37:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:BD4SKLEQM4FASBGPJIRTZJMCKF","target":"record","payload":{"canonical_record":{"source":{"id":"math/0305095","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2003-05-06T17:13:04Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"ec9b9399ca6e89412cf180cd80841a6239c568c213a892ee76e8b8ae5ac6857d","abstract_canon_sha256":"022283f02e813cd29c74cce4d3ba8c51b0046e9709fc68c35b3662ed4b0c0af6"},"schema_version":"1.0"},"canonical_sha256":"08f9252c90670a0904cf4a233ca582515247841a0bf730eebfe722c2c2357061","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:37:17.600961Z","signature_b64":"o8Rvg5xqKvKPWLKNBoV7Apj6hh/N4Im1xSci4aK/qL/kffcXHUS55T5rnTX/cUQuN7auYGBat5Lu9lEw6cQrAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08f9252c90670a0904cf4a233ca582515247841a0bf730eebfe722c2c2357061","last_reissued_at":"2026-07-04T14:37:17.600541Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:37:17.600541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0305095","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":"2026-07-04T14:37:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4IVxd8w5sq3hPtRy0skll6NWF3Iii+38vghpr3o8WGJv38hgzZ5zbh1sUBrsr9x0iiN7s52dr/8MCTND5Zx7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:53:08.084273Z"},"content_sha256":"b57bd9722d100634e0417c75ac822d1249cabf3baefe908f401a44c4f03e86b9","schema_version":"1.0","event_id":"sha256:b57bd9722d100634e0417c75ac822d1249cabf3baefe908f401a44c4f03e86b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:BD4SKLEQM4FASBGPJIRTZJMCKF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The minimal degeneration singularities in the affine Grassmannians","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Anton Malkin, Maxim Vybornov (MIT), Viktor Ostrik","submitted_at":"2003-05-06T17:13:04Z","abstract_excerpt":"The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures of minimal orbits in nilpotent cones. The singularities for non-simply-laced types are studied by intersection cohomology and equivariant Chow group methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0305095","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/math/0305095/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":"2026-07-04T14:37:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TOt3REntRqqfe4JO4iE3uoxKIeD23HxVZoGccAJ4WXZ9kmTxEkdnSm9lA/bMD8RzNV1De30CN2NL11653OXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:53:08.084803Z"},"content_sha256":"83ee69753996eb38daa0957e4561c5796c70a04fb9aaead9699ad0966e00bfe6","schema_version":"1.0","event_id":"sha256:83ee69753996eb38daa0957e4561c5796c70a04fb9aaead9699ad0966e00bfe6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/bundle.json","state_url":"https://pith.science/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/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":"2026-08-03T22:53:08Z","links":{"resolver":"https://pith.science/pith/BD4SKLEQM4FASBGPJIRTZJMCKF","bundle":"https://pith.science/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/bundle.json","state":"https://pith.science/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BD4SKLEQM4FASBGPJIRTZJMCKF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:BD4SKLEQM4FASBGPJIRTZJMCKF","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":"022283f02e813cd29c74cce4d3ba8c51b0046e9709fc68c35b3662ed4b0c0af6","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.AG","submitted_at":"2003-05-06T17:13:04Z","title_canon_sha256":"ec9b9399ca6e89412cf180cd80841a6239c568c213a892ee76e8b8ae5ac6857d"},"schema_version":"1.0","source":{"id":"math/0305095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0305095","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"arxiv_version","alias_value":"math/0305095v1","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0305095","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_12","alias_value":"BD4SKLEQM4FA","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_16","alias_value":"BD4SKLEQM4FASBGP","created_at":"2026-07-04T14:37:17Z"},{"alias_kind":"pith_short_8","alias_value":"BD4SKLEQ","created_at":"2026-07-04T14:37:17Z"}],"graph_snapshots":[{"event_id":"sha256:83ee69753996eb38daa0957e4561c5796c70a04fb9aaead9699ad0966e00bfe6","target":"graph","created_at":"2026-07-04T14:37:17Z","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/math/0305095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures of minimal orbits in nilpotent cones. The singularities for non-simply-laced types are studied by intersection cohomology and equivariant Chow group methods.","authors_text":"Anton Malkin, Maxim Vybornov (MIT), Viktor Ostrik","cross_cats":["math.RT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2003-05-06T17:13:04Z","title":"The minimal degeneration singularities in the affine Grassmannians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0305095","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:b57bd9722d100634e0417c75ac822d1249cabf3baefe908f401a44c4f03e86b9","target":"record","created_at":"2026-07-04T14:37:17Z","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":"022283f02e813cd29c74cce4d3ba8c51b0046e9709fc68c35b3662ed4b0c0af6","cross_cats_sorted":["math.RT"],"license":"","primary_cat":"math.AG","submitted_at":"2003-05-06T17:13:04Z","title_canon_sha256":"ec9b9399ca6e89412cf180cd80841a6239c568c213a892ee76e8b8ae5ac6857d"},"schema_version":"1.0","source":{"id":"math/0305095","kind":"arxiv","version":1}},"canonical_sha256":"08f9252c90670a0904cf4a233ca582515247841a0bf730eebfe722c2c2357061","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08f9252c90670a0904cf4a233ca582515247841a0bf730eebfe722c2c2357061","first_computed_at":"2026-07-04T14:37:17.600541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:17.600541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o8Rvg5xqKvKPWLKNBoV7Apj6hh/N4Im1xSci4aK/qL/kffcXHUS55T5rnTX/cUQuN7auYGBat5Lu9lEw6cQrAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:17.600961Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0305095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b57bd9722d100634e0417c75ac822d1249cabf3baefe908f401a44c4f03e86b9","sha256:83ee69753996eb38daa0957e4561c5796c70a04fb9aaead9699ad0966e00bfe6"],"state_sha256":"f764cde9d8882bfa6ad5274487a1776233655319021e0dce1a4d9a4f9c360e9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmFHyTRlfCmKLRAe8JhZxs7Tr18ZbPedpjNvoTA+7zPkS1WituP1h5PAHp5B0W9vNL5RdE1zMfLsxpzVqyLdCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:53:08.089880Z","bundle_sha256":"d37c435f9d2316bf74cbc2b46421d71646ca427f1a0f9059dabb4b40920f614b"}}