{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6OWD3HGL3NKEADRQLVLD2NOA4W","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":"5d26440393547e972e1a4113064665181513bdd039929c24fdde93499f24e40d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-10-09T19:41:50Z","title_canon_sha256":"e91f47d31023cdc45ebb47cb098d36e126252be12d195a05a6fbabd095c03f6a"},"schema_version":"1.0","source":{"id":"1510.02783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02783","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02783v1","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02783","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"6OWD3HGL3NKE","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6OWD3HGL3NKEADRQ","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6OWD3HGL","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:e5ce311777e6e94bf30295bb3317a63b9145934418705dfb46328df5690d4e40","target":"graph","created_at":"2026-05-18T01:30:41Z","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":"We establish a fine expansion for the geometric part of the Arthur-Selberg trace formula (as it was conjectured by Werner Hoffmann). For the general linear group, we deduce an expression for the contributions of regular by blocks unipotent orbits (orbits with one Jordan block with multiplicity). As a consequence, we find formulas for Arthur's global coefficients attached to such orbits.","authors_text":"Pierre-Henri Chaudouard","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-10-09T19:41:50Z","title":"Sur certaines contributions unipotentes dans la formule des traces d'Arthur"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02783","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":"sha256:2a66e8901cb57828b1eb97fd95e7a39d37b5fa88508ccd315e5bf0ae51640ad7","target":"record","created_at":"2026-05-18T01:30:41Z","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":"5d26440393547e972e1a4113064665181513bdd039929c24fdde93499f24e40d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-10-09T19:41:50Z","title_canon_sha256":"e91f47d31023cdc45ebb47cb098d36e126252be12d195a05a6fbabd095c03f6a"},"schema_version":"1.0","source":{"id":"1510.02783","kind":"arxiv","version":1}},"canonical_sha256":"f3ac3d9ccbdb54400e305d563d35c0e5bbf91c97b4e13ef6f04ccd175db18000","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3ac3d9ccbdb54400e305d563d35c0e5bbf91c97b4e13ef6f04ccd175db18000","first_computed_at":"2026-05-18T01:30:41.486047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:41.486047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91lB92ahQ8zI/e24iTV0nqx+ATHySGEHboq4PSe8jop/JmyvQRgXEWYwfQhCQh/ErvcLcEIyMOPqu5iy6733Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:41.486558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a66e8901cb57828b1eb97fd95e7a39d37b5fa88508ccd315e5bf0ae51640ad7","sha256:e5ce311777e6e94bf30295bb3317a63b9145934418705dfb46328df5690d4e40"],"state_sha256":"6afb0cff6ac245d13ee5530657505c07496f825da114287944a43c7a9b69749a"}