{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GFP4FIS4JZ7AHSWP3A5SCPWQSD","short_pith_number":"pith:GFP4FIS4","canonical_record":{"source":{"id":"1006.5833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-06-30T11:52:05Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"0ed05f54f5a60b6ac0648e5792cc86eda14e22072716cbcbeba8660b4f57846f","abstract_canon_sha256":"83ebf890c10e20f08fecf5fe01ac5c93fcef79cf7e8ee032993e66a0e4ae8404"},"schema_version":"1.0"},"canonical_sha256":"315fc2a25c4e7e03cacfd83b213ed090e93ad720cc98552250ca1b6857363735","source":{"kind":"arxiv","id":"1006.5833","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5833","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5833v2","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5833","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"GFP4FIS4JZ7A","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GFP4FIS4JZ7AHSWP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GFP4FIS4","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GFP4FIS4JZ7AHSWP3A5SCPWQSD","target":"record","payload":{"canonical_record":{"source":{"id":"1006.5833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-06-30T11:52:05Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"0ed05f54f5a60b6ac0648e5792cc86eda14e22072716cbcbeba8660b4f57846f","abstract_canon_sha256":"83ebf890c10e20f08fecf5fe01ac5c93fcef79cf7e8ee032993e66a0e4ae8404"},"schema_version":"1.0"},"canonical_sha256":"315fc2a25c4e7e03cacfd83b213ed090e93ad720cc98552250ca1b6857363735","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:41.387450Z","signature_b64":"wLFy3fkHl9+k1VNkYA+NWlCNKoqGfyGlB5ngI+wrTP9pxclT12Iynx4Z/w9qhO0LIKo4mwHCKF/fG1hVNucnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"315fc2a25c4e7e03cacfd83b213ed090e93ad720cc98552250ca1b6857363735","last_reissued_at":"2026-05-18T03:27:41.387024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:41.387024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.5833","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rQjUCTrU2Ttng5beTNzjFaFu2lGPiOYKgM9c5+q1Mzbhaw+dk/ZHYCC6aM/40syvvEI7NGI+zBmeJPFtmi59BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:59:25.974790Z"},"content_sha256":"9966a425cf98f768351a7323dd81cd1e3ee2d47e304d06ffd3f575fb0a580c82","schema_version":"1.0","event_id":"sha256:9966a425cf98f768351a7323dd81cd1e3ee2d47e304d06ffd3f575fb0a580c82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GFP4FIS4JZ7AHSWP3A5SCPWQSD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Danilov resolution and representations of McKay quiver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Oskar Kedzierski","submitted_at":"2010-06-30T11:52:05Z","abstract_excerpt":"We construct a family of McKay quiver representations on the Danilov resolution of the 1/r(1,a,r - a) singularity. It follows that the resolution is the normalization of the coherent component of the moduli space of stable McKay quiver representations for a suitable stability condition. We describe explicitly the corresponding chamber of stability conditions for any coprime numbers r, a."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5833","kind":"arxiv","version":2},"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":"2026-05-18T03:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KRTEHY6laGi4Il4M9+SIqa3ke8crj4/kVCvAAqA7Ht0+0ztf4713q17YxEsGWuWsVV5lf4OY9MZeimWHSZU/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:59:25.975540Z"},"content_sha256":"bb49658a35b4128266dd38abc6d4c5ad51479687f66f98a3f0aaa2768173b71e","schema_version":"1.0","event_id":"sha256:bb49658a35b4128266dd38abc6d4c5ad51479687f66f98a3f0aaa2768173b71e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/bundle.json","state_url":"https://pith.science/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/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":"2026-06-05T19:59:25Z","links":{"resolver":"https://pith.science/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD","bundle":"https://pith.science/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/bundle.json","state":"https://pith.science/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFP4FIS4JZ7AHSWP3A5SCPWQSD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GFP4FIS4JZ7AHSWP3A5SCPWQSD","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":"83ebf890c10e20f08fecf5fe01ac5c93fcef79cf7e8ee032993e66a0e4ae8404","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-06-30T11:52:05Z","title_canon_sha256":"0ed05f54f5a60b6ac0648e5792cc86eda14e22072716cbcbeba8660b4f57846f"},"schema_version":"1.0","source":{"id":"1006.5833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5833","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5833v2","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5833","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"GFP4FIS4JZ7A","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GFP4FIS4JZ7AHSWP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GFP4FIS4","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:bb49658a35b4128266dd38abc6d4c5ad51479687f66f98a3f0aaa2768173b71e","target":"graph","created_at":"2026-05-18T03:27:41Z","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 construct a family of McKay quiver representations on the Danilov resolution of the 1/r(1,a,r - a) singularity. It follows that the resolution is the normalization of the coherent component of the moduli space of stable McKay quiver representations for a suitable stability condition. We describe explicitly the corresponding chamber of stability conditions for any coprime numbers r, a.","authors_text":"Oskar Kedzierski","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-06-30T11:52:05Z","title":"Danilov resolution and representations of McKay quiver"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5833","kind":"arxiv","version":2},"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":"sha256:9966a425cf98f768351a7323dd81cd1e3ee2d47e304d06ffd3f575fb0a580c82","target":"record","created_at":"2026-05-18T03:27:41Z","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":"83ebf890c10e20f08fecf5fe01ac5c93fcef79cf7e8ee032993e66a0e4ae8404","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-06-30T11:52:05Z","title_canon_sha256":"0ed05f54f5a60b6ac0648e5792cc86eda14e22072716cbcbeba8660b4f57846f"},"schema_version":"1.0","source":{"id":"1006.5833","kind":"arxiv","version":2}},"canonical_sha256":"315fc2a25c4e7e03cacfd83b213ed090e93ad720cc98552250ca1b6857363735","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"315fc2a25c4e7e03cacfd83b213ed090e93ad720cc98552250ca1b6857363735","first_computed_at":"2026-05-18T03:27:41.387024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:41.387024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wLFy3fkHl9+k1VNkYA+NWlCNKoqGfyGlB5ngI+wrTP9pxclT12Iynx4Z/w9qhO0LIKo4mwHCKF/fG1hVNucnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:41.387450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9966a425cf98f768351a7323dd81cd1e3ee2d47e304d06ffd3f575fb0a580c82","sha256:bb49658a35b4128266dd38abc6d4c5ad51479687f66f98a3f0aaa2768173b71e"],"state_sha256":"ced895e9343634550274cd657cf17da67a7a61cceeecb786921a301c9dc3d920"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I1HwfcqGXIQ9TgxSXWzpsOw1Uc5OISODcwb+zsY60lwWJROzO2BYcfdnC36e1xe1KMikAi3W/ANtadhtDYPJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:59:25.980512Z","bundle_sha256":"733c02b97006d3242d755faf80989e5efc1a76175fdd4de1b33b530363b9b080"}}