{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6OF575KY4ZMURB44STBRRA6HC7","short_pith_number":"pith:6OF575KY","schema_version":"1.0","canonical_sha256":"f38bdff558e65948879c94c31883c717fc21596119240f3cf53a6a4923db37b1","source":{"kind":"arxiv","id":"1803.09442","version":3},"attestation_state":"computed","paper":{"title":"Character values and Hochschild homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"David Kazhdan, Roman Bezrukavnikov","submitted_at":"2018-03-26T07:23:18Z","abstract_excerpt":"We present a conjecture (and a proof for G=SL(2)) generalizing a result of J. Arthur which expresses a character value of a cuspidal representation of a $p$-adic group as a weighted orbital integral of its matrix coefficient. It also generalizes a conjecture by the second author proved by Schneider-Stuhler and (independently) the first author. The latter statement expresses an elliptic character value as an orbital integral of a pseudo-matrix coefficient defined via the Chern character map taking value in zeroth Hochschild homology of the Hecke algebra. The present conjecture generalizes the c"},"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":"1803.09442","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-03-26T07:23:18Z","cross_cats_sorted":[],"title_canon_sha256":"58a8ecc14a34807245201500305cd1899d7db18ad1eecbd10e66f8e56dfa9084","abstract_canon_sha256":"257e676bbff9e4f56c76fbd1e7acde32fc7e2e48baada2f56a804f30583759a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:36.983609Z","signature_b64":"FPKM0cr6UhDgHP+8v4FlyJdQTtKUTK/HG0gVD70M/2db3fly/P87lHY0mvl7Y+9qdChok8uYzfmobNustpqsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f38bdff558e65948879c94c31883c717fc21596119240f3cf53a6a4923db37b1","last_reissued_at":"2026-05-18T00:03:36.983072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:36.983072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Character values and Hochschild homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"David Kazhdan, Roman Bezrukavnikov","submitted_at":"2018-03-26T07:23:18Z","abstract_excerpt":"We present a conjecture (and a proof for G=SL(2)) generalizing a result of J. Arthur which expresses a character value of a cuspidal representation of a $p$-adic group as a weighted orbital integral of its matrix coefficient. It also generalizes a conjecture by the second author proved by Schneider-Stuhler and (independently) the first author. The latter statement expresses an elliptic character value as an orbital integral of a pseudo-matrix coefficient defined via the Chern character map taking value in zeroth Hochschild homology of the Hecke algebra. The present conjecture generalizes the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09442","kind":"arxiv","version":3},"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":"1803.09442","created_at":"2026-05-18T00:03:36.983149+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.09442v3","created_at":"2026-05-18T00:03:36.983149+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09442","created_at":"2026-05-18T00:03:36.983149+00:00"},{"alias_kind":"pith_short_12","alias_value":"6OF575KY4ZMU","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6OF575KY4ZMURB44","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6OF575KY","created_at":"2026-05-18T12:32:11.075285+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/6OF575KY4ZMURB44STBRRA6HC7","json":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7.json","graph_json":"https://pith.science/api/pith-number/6OF575KY4ZMURB44STBRRA6HC7/graph.json","events_json":"https://pith.science/api/pith-number/6OF575KY4ZMURB44STBRRA6HC7/events.json","paper":"https://pith.science/paper/6OF575KY"},"agent_actions":{"view_html":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7","download_json":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7.json","view_paper":"https://pith.science/paper/6OF575KY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.09442&json=true","fetch_graph":"https://pith.science/api/pith-number/6OF575KY4ZMURB44STBRRA6HC7/graph.json","fetch_events":"https://pith.science/api/pith-number/6OF575KY4ZMURB44STBRRA6HC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7/action/storage_attestation","attest_author":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7/action/author_attestation","sign_citation":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7/action/citation_signature","submit_replication":"https://pith.science/pith/6OF575KY4ZMURB44STBRRA6HC7/action/replication_record"}},"created_at":"2026-05-18T00:03:36.983149+00:00","updated_at":"2026-05-18T00:03:36.983149+00:00"}