{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QQ4FDV7DVONBEOWDDMENRMLBK6","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":"52e2ac9610e44b147690e929d876e928d76e1fee669442e5637f517c655c1a2e","cross_cats_sorted":["math.CT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-19T13:40:03Z","title_canon_sha256":"dfcd8e47c2eea7c0ec401aed24473a67c998f03d35bee61ddd668c6c64531bd2"},"schema_version":"1.0","source":{"id":"1708.07551","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07551","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07551v2","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07551","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"QQ4FDV7DVONB","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QQ4FDV7DVONBEOWD","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QQ4FDV7D","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:8e1b3c597ba92e6a4c2b0a793d610c98d228d49857262687e2fced0682aa931b","target":"graph","created_at":"2026-05-18T00:07:33Z","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":"Good atlases are defined for effective orbifolds, and a spark complex is constructed on each good atlas. It is proved that this process is 2-functorial with compatible systems playing as morphisms between good atlases, and that the spark character 2-functor factors through this 2-functor.","authors_text":"Cheng-Yong Du, Lili Shen, Xiaojuan Zhao","cross_cats":["math.CT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-19T13:40:03Z","title":"Spark complexes on good effective orbifold atlases categorically"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07551","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":"sha256:170d055769b95dd9ab6b41266c1568d58b0786b8db22b10ae3f85e2c2d57ecce","target":"record","created_at":"2026-05-18T00:07:33Z","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":"52e2ac9610e44b147690e929d876e928d76e1fee669442e5637f517c655c1a2e","cross_cats_sorted":["math.CT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-19T13:40:03Z","title_canon_sha256":"dfcd8e47c2eea7c0ec401aed24473a67c998f03d35bee61ddd668c6c64531bd2"},"schema_version":"1.0","source":{"id":"1708.07551","kind":"arxiv","version":2}},"canonical_sha256":"843851d7e3ab9a123ac31b08d8b16157a448cf86098e3307c1e683db6a06320b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"843851d7e3ab9a123ac31b08d8b16157a448cf86098e3307c1e683db6a06320b","first_computed_at":"2026-05-18T00:07:33.061149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:33.061149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gl9pVDMKiXodZX5N9vQEV8/Zz1jk+QfT2PLc+hm3GIJQXDUq1H5zIqRAon7bFBlIxErFYmnHr5vqFOHIWSGaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:33.061791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.07551","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:170d055769b95dd9ab6b41266c1568d58b0786b8db22b10ae3f85e2c2d57ecce","sha256:8e1b3c597ba92e6a4c2b0a793d610c98d228d49857262687e2fced0682aa931b"],"state_sha256":"de0d07d7e0b35b2af9b53497e7f11db2fb4427504db3e55d64acef06a75937cb"}