{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:6NLL6RKPR4XK7TBG46H473EFG6","short_pith_number":"pith:6NLL6RKP","schema_version":"1.0","canonical_sha256":"f356bf454f8f2eafcc26e78fcfec853795f9abff244df523bfaa06e65cd9321c","source":{"kind":"arxiv","id":"2205.15393","version":2},"attestation_state":"computed","paper":{"title":"Motivic mirror symmetry and $\\chi$-independence for Higgs bundles in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Simon Pepin Lehalleur, Victoria Hoskins","submitted_at":"2022-05-30T19:19:28Z","abstract_excerpt":"We prove that the (twisted orbifold) motives of the moduli spaces of $\\mathrm{SL}_n$ and $\\mathrm{PGL}_n$-Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives. The equality of twisted orbifold Hodge numbers of these moduli spaces was conjectured by Hausel and Thaddeus and recently proven by Groechenig, Ziegler and Wyss via $p$-adic integration and then by Maulik and Shen using the decomposition theorem, an analysis of the supports of $D$-twisted Hit"},"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":"2205.15393","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-05-30T19:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"c61541f250e224db58141addca34f26cc515dd2e1eea8da9637d40a2650f94cb","abstract_canon_sha256":"3230b709af3e8abb4c0d050c36fed238b71b83f9d1cb2decf8917ac1cda9ff2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:40:51.006964Z","signature_b64":"m3dW7HL1cQHgPNEplIGpFbKEIfBETU9+cia2eA7rRaE8wRrHYpaw5qWm3b09Sc8ZdPnIxjY0Q7NBitweD1a9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f356bf454f8f2eafcc26e78fcfec853795f9abff244df523bfaa06e65cd9321c","last_reissued_at":"2026-07-05T08:40:51.006615Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:40:51.006615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic mirror symmetry and $\\chi$-independence for Higgs bundles in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Simon Pepin Lehalleur, Victoria Hoskins","submitted_at":"2022-05-30T19:19:28Z","abstract_excerpt":"We prove that the (twisted orbifold) motives of the moduli spaces of $\\mathrm{SL}_n$ and $\\mathrm{PGL}_n$-Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives. The equality of twisted orbifold Hodge numbers of these moduli spaces was conjectured by Hausel and Thaddeus and recently proven by Groechenig, Ziegler and Wyss via $p$-adic integration and then by Maulik and Shen using the decomposition theorem, an analysis of the supports of $D$-twisted Hit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.15393","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.15393/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2205.15393","created_at":"2026-07-05T08:40:51.006669+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.15393v2","created_at":"2026-07-05T08:40:51.006669+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.15393","created_at":"2026-07-05T08:40:51.006669+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NLL6RKPR4XK","created_at":"2026-07-05T08:40:51.006669+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NLL6RKPR4XK7TBG","created_at":"2026-07-05T08:40:51.006669+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NLL6RKP","created_at":"2026-07-05T08:40:51.006669+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.02588","citing_title":"Non-archimedean topological mirror symmetry for $SL_n$ and $PGL_n$ Higgs bundles","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6","json":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6.json","graph_json":"https://pith.science/api/pith-number/6NLL6RKPR4XK7TBG46H473EFG6/graph.json","events_json":"https://pith.science/api/pith-number/6NLL6RKPR4XK7TBG46H473EFG6/events.json","paper":"https://pith.science/paper/6NLL6RKP"},"agent_actions":{"view_html":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6","download_json":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6.json","view_paper":"https://pith.science/paper/6NLL6RKP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.15393&json=true","fetch_graph":"https://pith.science/api/pith-number/6NLL6RKPR4XK7TBG46H473EFG6/graph.json","fetch_events":"https://pith.science/api/pith-number/6NLL6RKPR4XK7TBG46H473EFG6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6/action/storage_attestation","attest_author":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6/action/author_attestation","sign_citation":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6/action/citation_signature","submit_replication":"https://pith.science/pith/6NLL6RKPR4XK7TBG46H473EFG6/action/replication_record"}},"created_at":"2026-07-05T08:40:51.006669+00:00","updated_at":"2026-07-05T08:40:51.006669+00:00"}