{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:WR4VESP6ZGGGLULDCKPYQV5EJO","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":"55cc3d41ea224c194ca2bab819f7c0717c75f2949c6397d0479d1a06bc5059c4","cross_cats_sorted":["math.RT","math.SG"],"license":"","primary_cat":"math.AG","submitted_at":"2003-08-22T21:38:23Z","title_canon_sha256":"f2d36008f24fb39327fb26a5dff645dc31b9b149eb1a0c6e93a540289207b338"},"schema_version":"1.0","source":{"id":"math/0308218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0308218","created_at":"2026-07-04T14:37:40Z"},{"alias_kind":"arxiv_version","alias_value":"math/0308218v1","created_at":"2026-07-04T14:37:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0308218","created_at":"2026-07-04T14:37:40Z"},{"alias_kind":"pith_short_12","alias_value":"WR4VESP6ZGGG","created_at":"2026-07-04T14:37:40Z"},{"alias_kind":"pith_short_16","alias_value":"WR4VESP6ZGGGLULD","created_at":"2026-07-04T14:37:40Z"},{"alias_kind":"pith_short_8","alias_value":"WR4VESP6","created_at":"2026-07-04T14:37:40Z"}],"graph_snapshots":[{"event_id":"sha256:2266ee9d0f059a52c25ac0248d1552ec075f10f3e4503766ab9a97e0694df2e0","target":"graph","created_at":"2026-07-04T14:37:40Z","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/0308218/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given an n-tuple of positive real numbers, Konno defines an algebraic variety called a hyperpolygon space, a hyperkahler analogue of the Kahler variety parametrizing spacial polygons with fixed edge lengths. The ordinary polygon space can be interpreted as the moduli space of stable representations of a certain quiver with fixed dimension vector; from this point of view, the hyperpolygon space is the hyperkahler quiver variety defined by Nakajima. A quiver variety admits a natural action of the nonzero complex numbers, and the union of the precompact orbits is called the core. We study the com","authors_text":"Megumi Harada, Nicholas J. Proudfoot","cross_cats":["math.RT","math.SG"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2003-08-22T21:38:23Z","title":"Hyperpolygon spaces and their cores"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0308218","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":"sha256:90581e091bd2415e86ab6c2503bbaaee7fcfd4c64b45b16420e536189a532302","target":"record","created_at":"2026-07-04T14:37:40Z","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":"55cc3d41ea224c194ca2bab819f7c0717c75f2949c6397d0479d1a06bc5059c4","cross_cats_sorted":["math.RT","math.SG"],"license":"","primary_cat":"math.AG","submitted_at":"2003-08-22T21:38:23Z","title_canon_sha256":"f2d36008f24fb39327fb26a5dff645dc31b9b149eb1a0c6e93a540289207b338"},"schema_version":"1.0","source":{"id":"math/0308218","kind":"arxiv","version":1}},"canonical_sha256":"b4795249fec98c65d163129f8857a44bba02a6beef8ce408e69375e053ab971e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4795249fec98c65d163129f8857a44bba02a6beef8ce408e69375e053ab971e","first_computed_at":"2026-07-04T14:37:40.346885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:40.346885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CQxgeSkI1/5uv8shbfFpgK7a6E/JURmZ4fmrEWmQX8B9RcY4zH5tYwGEx1kOD0WKnntxf//AM8ol3p1jLNcxDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:40.347217Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0308218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90581e091bd2415e86ab6c2503bbaaee7fcfd4c64b45b16420e536189a532302","sha256:2266ee9d0f059a52c25ac0248d1552ec075f10f3e4503766ab9a97e0694df2e0"],"state_sha256":"5e337150c46b798bde9399291ed2bfb357c0e27628925d41ff0efbaf7607b824"}