{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FGTMCPCZAQN5VD7L563EOA4Q3P","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":"2e7e76ff1815a42acc0ed5070b00d343c81809d8996ea53aba501b42ef396169","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-15T11:41:06Z","title_canon_sha256":"dbac04193ba5b89e0c3e5a48a187bc0a6590e367e6ef08ecb5ff5773856eec21"},"schema_version":"1.0","source":{"id":"1705.05167","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05167","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05167v2","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05167","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"FGTMCPCZAQN5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGTMCPCZAQN5VD7L","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGTMCPCZ","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:ebc3e0c7ca699e2ed612d92820e947cb51f180f92f04d3c09236788083d3d16c","target":"graph","created_at":"2026-05-18T00:20:56Z","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":"W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space. In the minuscule case, Rapoport-Terstiege-Zhang have verified the AFL conjecture via explicit evaluation of both sides of the identity. We present a simpler way for evaluating the arithmetic intersection number, thereby providing a new proof of the AFL conjecture in the minuscule case.","authors_text":"Chao Li, Yihang Zhu","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-15T11:41:06Z","title":"Remarks on the arithmetic fundamental lemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05167","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":"sha256:95aecbe079658fe5ddbb650f962d611357a2eae69b351aac60a184d4e2bb386c","target":"record","created_at":"2026-05-18T00:20:56Z","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":"2e7e76ff1815a42acc0ed5070b00d343c81809d8996ea53aba501b42ef396169","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-15T11:41:06Z","title_canon_sha256":"dbac04193ba5b89e0c3e5a48a187bc0a6590e367e6ef08ecb5ff5773856eec21"},"schema_version":"1.0","source":{"id":"1705.05167","kind":"arxiv","version":2}},"canonical_sha256":"29a6c13c59041bda8febefb6470390dbf64ddb1728a52afdcfc3a566a7fdc3f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29a6c13c59041bda8febefb6470390dbf64ddb1728a52afdcfc3a566a7fdc3f7","first_computed_at":"2026-05-18T00:20:56.430158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:56.430158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iY2uItWqFjIakAp0jRAql898Rj2rWA4J2zqZzkUlfA7K3Mc2/gnN8cmD/5JctSBOp3248vFpnIGppUP4EWGjDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:56.430573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05167","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95aecbe079658fe5ddbb650f962d611357a2eae69b351aac60a184d4e2bb386c","sha256:ebc3e0c7ca699e2ed612d92820e947cb51f180f92f04d3c09236788083d3d16c"],"state_sha256":"5c1620e4d0df62d0f5ca72bed7c01af4d6068f75c0efe933d0966a4ab0f45aa9"}