{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FCDCBAW3XCWGRJTBGIQPOK25MW","short_pith_number":"pith:FCDCBAW3","canonical_record":{"source":{"id":"1212.3847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-16T22:58:35Z","cross_cats_sorted":[],"title_canon_sha256":"576982f0ceab5be1e4f37cbebbf4a159fa0b02772daf037aa0c79ffd80083746","abstract_canon_sha256":"739c923ead0512521edcee5f866909ef98a5d6e84fcb53bf85a4cdc8ae436ea3"},"schema_version":"1.0"},"canonical_sha256":"28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf","source":{"kind":"arxiv","id":"1212.3847","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3847","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3847v1","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3847","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"FCDCBAW3XCWG","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCDCBAW3XCWGRJTB","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCDCBAW3","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FCDCBAW3XCWGRJTBGIQPOK25MW","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-16T22:58:35Z","cross_cats_sorted":[],"title_canon_sha256":"576982f0ceab5be1e4f37cbebbf4a159fa0b02772daf037aa0c79ffd80083746","abstract_canon_sha256":"739c923ead0512521edcee5f866909ef98a5d6e84fcb53bf85a4cdc8ae436ea3"},"schema_version":"1.0"},"canonical_sha256":"28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:22.267472Z","signature_b64":"/r9VBMGRYJX9q8DWj2Bc9JI1YOf3QuFTRoiTuFahujzLwetZX0p6ycWSS4goxvSYhio9swRB5FsA5NXNYKYWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf","last_reissued_at":"2026-05-18T03:38:22.267015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:22.267015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3847","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JXkOXWsuKeCZwaVs9TiMEJKz7NSg+Eud+o4aYsDdIDWOY7fUQMtc3XewR3t20pKyFDjR136VTWh1NtHi6ve7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:36:20.196067Z"},"content_sha256":"7ebc3c095844bb4a30415905bedf9531f8dc546a6998bc6ebd875ff35477e934","schema_version":"1.0","event_id":"sha256:7ebc3c095844bb4a30415905bedf9531f8dc546a6998bc6ebd875ff35477e934"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FCDCBAW3XCWGRJTBGIQPOK25MW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A torsion Jacquet--Langlands correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Akshay Venkatesh, Frank Calegari","submitted_at":"2012-12-16T22:58:35Z","abstract_excerpt":"We study torsion in the homology of arithmetic groups and give evidence that it plays a role in the Langlands program. We prove, among other results, a numerical form of a Jacquet--Langlands correspondence in the torsion setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3847","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xv6RoQoBwhqeX5ZBgPBXdh2zjd/fQ2E04gvaFR23CLZIBxO8yL4wgrHjdQ3p08GTM0AL8yAyYefYXYmvEpRICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:36:20.196416Z"},"content_sha256":"34b0416e1fe07410071996cc47d21be08e869f6aa48362fc750ee2503a232fd9","schema_version":"1.0","event_id":"sha256:34b0416e1fe07410071996cc47d21be08e869f6aa48362fc750ee2503a232fd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/bundle.json","state_url":"https://pith.science/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T02:36:20Z","links":{"resolver":"https://pith.science/pith/FCDCBAW3XCWGRJTBGIQPOK25MW","bundle":"https://pith.science/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/bundle.json","state":"https://pith.science/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCDCBAW3XCWGRJTBGIQPOK25MW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FCDCBAW3XCWGRJTBGIQPOK25MW","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":"739c923ead0512521edcee5f866909ef98a5d6e84fcb53bf85a4cdc8ae436ea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-16T22:58:35Z","title_canon_sha256":"576982f0ceab5be1e4f37cbebbf4a159fa0b02772daf037aa0c79ffd80083746"},"schema_version":"1.0","source":{"id":"1212.3847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3847","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3847v1","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3847","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"FCDCBAW3XCWG","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCDCBAW3XCWGRJTB","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCDCBAW3","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:34b0416e1fe07410071996cc47d21be08e869f6aa48362fc750ee2503a232fd9","target":"graph","created_at":"2026-05-18T03:38:22Z","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 study torsion in the homology of arithmetic groups and give evidence that it plays a role in the Langlands program. We prove, among other results, a numerical form of a Jacquet--Langlands correspondence in the torsion setting.","authors_text":"Akshay Venkatesh, Frank Calegari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-16T22:58:35Z","title":"A torsion Jacquet--Langlands correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3847","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":"sha256:7ebc3c095844bb4a30415905bedf9531f8dc546a6998bc6ebd875ff35477e934","target":"record","created_at":"2026-05-18T03:38:22Z","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":"739c923ead0512521edcee5f866909ef98a5d6e84fcb53bf85a4cdc8ae436ea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-16T22:58:35Z","title_canon_sha256":"576982f0ceab5be1e4f37cbebbf4a159fa0b02772daf037aa0c79ffd80083746"},"schema_version":"1.0","source":{"id":"1212.3847","kind":"arxiv","version":1}},"canonical_sha256":"28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf","first_computed_at":"2026-05-18T03:38:22.267015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:22.267015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/r9VBMGRYJX9q8DWj2Bc9JI1YOf3QuFTRoiTuFahujzLwetZX0p6ycWSS4goxvSYhio9swRB5FsA5NXNYKYWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:22.267472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ebc3c095844bb4a30415905bedf9531f8dc546a6998bc6ebd875ff35477e934","sha256:34b0416e1fe07410071996cc47d21be08e869f6aa48362fc750ee2503a232fd9"],"state_sha256":"f3fb6da2ba7217aa4d7d064c01a4b305ea69deb3b58b5aab2d02c3de79ff899f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zjwZ70GSVS6PALuWWMo+xp+R+KClbdlNDhfkfwMkreqmSCekJ+b4ZgIOfe6HWHgDboFavBEq6U7+z33OMrJBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:36:20.198336Z","bundle_sha256":"3cc6bded585b4865646a6db8a0da44b959ec61db0e0ea61f38786b1d3c67a634"}}