{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FYNS7BGGK322CL4V2XO57762DC","short_pith_number":"pith:FYNS7BGG","schema_version":"1.0","canonical_sha256":"2e1b2f84c656f5a12f95d5dddfffda1899df82dbcaffe8f754dbc1a74a90fd49","source":{"kind":"arxiv","id":"1608.04968","version":4},"attestation_state":"computed","paper":{"title":"Motivic HyperK\\\"ahler Resolution Conjecture : I. Generalized Kummer varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Vial, Lie Fu, Zhiyu Tian","submitted_at":"2016-08-17T14:09:40Z","abstract_excerpt":"Given a smooth projective variety $M$ endowed with a faithful action of a finite group $G$, following Jarvis-Kaufmann-Kimura and Fantechi-G\\\"ottsche, we define the orbifold motive (or Chen-Ruan motive) of the quotient stack $[M/G]$ as an algebra object in the category of Chow motives. Inspired by Ruan, one can formulate a motivic version of his Cohomological HyperK\\\"ahler Resolution Conjecture. We prove this motivic version, as well as its K-theoretic analogue conjectured by Jarvis-Kaufmann-Kimura, in two situations related to an abelian surface $A$ and a positive integer $n$. Case (A) concern"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1608.04968","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-17T14:09:40Z","cross_cats_sorted":[],"title_canon_sha256":"5136357b821a7fca79e138e150aba57fab696b14fba49e4b7f3f4e8ecab2caba","abstract_canon_sha256":"7ff1e8e471ad2f7bff6b02244a5e41ddf35112276b90a0f7c71fde204a6d2448"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:34.864859Z","signature_b64":"EKg8niagAMW87blAadBmE7ry7oxCWD0gkcXi22yLinLp2dGixE0+26gAnHw9+LXWxKhIJ4XAxP5c2Y4UqS7qAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e1b2f84c656f5a12f95d5dddfffda1899df82dbcaffe8f754dbc1a74a90fd49","last_reissued_at":"2026-05-17T23:51:34.864168Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:34.864168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic HyperK\\\"ahler Resolution Conjecture : I. Generalized Kummer varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Vial, Lie Fu, Zhiyu Tian","submitted_at":"2016-08-17T14:09:40Z","abstract_excerpt":"Given a smooth projective variety $M$ endowed with a faithful action of a finite group $G$, following Jarvis-Kaufmann-Kimura and Fantechi-G\\\"ottsche, we define the orbifold motive (or Chen-Ruan motive) of the quotient stack $[M/G]$ as an algebra object in the category of Chow motives. Inspired by Ruan, one can formulate a motivic version of his Cohomological HyperK\\\"ahler Resolution Conjecture. We prove this motivic version, as well as its K-theoretic analogue conjectured by Jarvis-Kaufmann-Kimura, in two situations related to an abelian surface $A$ and a positive integer $n$. Case (A) concern"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04968","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.04968","created_at":"2026-05-17T23:51:34.864269+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.04968v4","created_at":"2026-05-17T23:51:34.864269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04968","created_at":"2026-05-17T23:51:34.864269+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYNS7BGGK322","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYNS7BGGK322CL4V","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYNS7BGG","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC","json":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC.json","graph_json":"https://pith.science/api/pith-number/FYNS7BGGK322CL4V2XO57762DC/graph.json","events_json":"https://pith.science/api/pith-number/FYNS7BGGK322CL4V2XO57762DC/events.json","paper":"https://pith.science/paper/FYNS7BGG"},"agent_actions":{"view_html":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC","download_json":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC.json","view_paper":"https://pith.science/paper/FYNS7BGG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.04968&json=true","fetch_graph":"https://pith.science/api/pith-number/FYNS7BGGK322CL4V2XO57762DC/graph.json","fetch_events":"https://pith.science/api/pith-number/FYNS7BGGK322CL4V2XO57762DC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC/action/storage_attestation","attest_author":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC/action/author_attestation","sign_citation":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC/action/citation_signature","submit_replication":"https://pith.science/pith/FYNS7BGGK322CL4V2XO57762DC/action/replication_record"}},"created_at":"2026-05-17T23:51:34.864269+00:00","updated_at":"2026-05-17T23:51:34.864269+00:00"}