{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MSIJRG2YXHSJMEFFF27GHO26BF","short_pith_number":"pith:MSIJRG2Y","canonical_record":{"source":{"id":"1308.0779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-04T05:51:14Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4d65ef3ad99d221b15708c5f89bbaee88b2a4b9d1d0163215b6a327b6bcb661a","abstract_canon_sha256":"c799f3c0ac6c0ed4a06abdb6e7bb95b9b0e988dccb396388547b083ebf2b59c0"},"schema_version":"1.0"},"canonical_sha256":"6490989b58b9e49610a52ebe63bb5e095ad8ef8dd64f8a3d8e026dbb879bb9b9","source":{"kind":"arxiv","id":"1308.0779","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0779","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0779v2","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0779","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"MSIJRG2YXHSJ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MSIJRG2YXHSJMEFF","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MSIJRG2Y","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MSIJRG2YXHSJMEFFF27GHO26BF","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-04T05:51:14Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4d65ef3ad99d221b15708c5f89bbaee88b2a4b9d1d0163215b6a327b6bcb661a","abstract_canon_sha256":"c799f3c0ac6c0ed4a06abdb6e7bb95b9b0e988dccb396388547b083ebf2b59c0"},"schema_version":"1.0"},"canonical_sha256":"6490989b58b9e49610a52ebe63bb5e095ad8ef8dd64f8a3d8e026dbb879bb9b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:36.725692Z","signature_b64":"6J3jL16gM7FWJ7rt940uxsNQ9rXeXnOFIarYFmrSf7DIhEIdq8k+9et0KSpLBm5Woyr9ehHdLwvmndn9HRBuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6490989b58b9e49610a52ebe63bb5e095ad8ef8dd64f8a3d8e026dbb879bb9b9","last_reissued_at":"2026-05-18T01:12:36.725099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:36.725099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0779","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AZhNVUqy8olgnu8uGKq/gAyYI5xTAJiIIi9NILCyw5mVYi8gwQ7F1zoE1fkgUkM0b+t/eJi6LECBYMQpBoW+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:28:44.190818Z"},"content_sha256":"7c34e23c1410da4990f792dcdbad12dec9c54f490c4c2cb75c2665914dd0207f","schema_version":"1.0","event_id":"sha256:7c34e23c1410da4990f792dcdbad12dec9c54f490c4c2cb75c2665914dd0207f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MSIJRG2YXHSJMEFFF27GHO26BF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"p-adic Cohomology and classicality of overconvergent Hilbert modular forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Liang Xiao, Yichao Tian","submitted_at":"2013-08-04T05:51:14Z","abstract_excerpt":"Let $F$ be a totally real field in which $p$ is unramified. We prove that, if a cuspidal overconvergent Hilbert cuspidal form has small slopes under $U_p$-operators, then it is classical. Our method follows the original cohomological approach of Coleman. The key ingredient of the proof is giving an explicit description of the Goren-Oort stratification of the special fiber of the Hilbert modular variety. A byproduct of the proof is to show that, at least when $p$ is inert, of the rigid cohomology of the ordinary locus has the same image as the classical forms in the Grothendieck group of Hecke "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0779","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":""},"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":"2026-05-18T01:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ejLRYEZbKrcVXwEQyLvJHSeTc7w+2mTsKjrrMju3cZzyK3CQr7ajpghEvUVEARmY17yHRJNWA2qBvG4jB7dQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:28:44.191469Z"},"content_sha256":"5e0124c3e7b447142ffabce9e281854aaad631a586a9a1bdc482f51c07bdac3c","schema_version":"1.0","event_id":"sha256:5e0124c3e7b447142ffabce9e281854aaad631a586a9a1bdc482f51c07bdac3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSIJRG2YXHSJMEFFF27GHO26BF/bundle.json","state_url":"https://pith.science/pith/MSIJRG2YXHSJMEFFF27GHO26BF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSIJRG2YXHSJMEFFF27GHO26BF/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":"2026-06-05T00:28:44Z","links":{"resolver":"https://pith.science/pith/MSIJRG2YXHSJMEFFF27GHO26BF","bundle":"https://pith.science/pith/MSIJRG2YXHSJMEFFF27GHO26BF/bundle.json","state":"https://pith.science/pith/MSIJRG2YXHSJMEFFF27GHO26BF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSIJRG2YXHSJMEFFF27GHO26BF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MSIJRG2YXHSJMEFFF27GHO26BF","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":"c799f3c0ac6c0ed4a06abdb6e7bb95b9b0e988dccb396388547b083ebf2b59c0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-04T05:51:14Z","title_canon_sha256":"4d65ef3ad99d221b15708c5f89bbaee88b2a4b9d1d0163215b6a327b6bcb661a"},"schema_version":"1.0","source":{"id":"1308.0779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0779","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0779v2","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0779","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"MSIJRG2YXHSJ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MSIJRG2YXHSJMEFF","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MSIJRG2Y","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:5e0124c3e7b447142ffabce9e281854aaad631a586a9a1bdc482f51c07bdac3c","target":"graph","created_at":"2026-05-18T01:12:36Z","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":"Let $F$ be a totally real field in which $p$ is unramified. We prove that, if a cuspidal overconvergent Hilbert cuspidal form has small slopes under $U_p$-operators, then it is classical. Our method follows the original cohomological approach of Coleman. The key ingredient of the proof is giving an explicit description of the Goren-Oort stratification of the special fiber of the Hilbert modular variety. A byproduct of the proof is to show that, at least when $p$ is inert, of the rigid cohomology of the ordinary locus has the same image as the classical forms in the Grothendieck group of Hecke ","authors_text":"Liang Xiao, Yichao Tian","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-04T05:51:14Z","title":"p-adic Cohomology and classicality of overconvergent Hilbert modular forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0779","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":"sha256:7c34e23c1410da4990f792dcdbad12dec9c54f490c4c2cb75c2665914dd0207f","target":"record","created_at":"2026-05-18T01:12:36Z","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":"c799f3c0ac6c0ed4a06abdb6e7bb95b9b0e988dccb396388547b083ebf2b59c0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-04T05:51:14Z","title_canon_sha256":"4d65ef3ad99d221b15708c5f89bbaee88b2a4b9d1d0163215b6a327b6bcb661a"},"schema_version":"1.0","source":{"id":"1308.0779","kind":"arxiv","version":2}},"canonical_sha256":"6490989b58b9e49610a52ebe63bb5e095ad8ef8dd64f8a3d8e026dbb879bb9b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6490989b58b9e49610a52ebe63bb5e095ad8ef8dd64f8a3d8e026dbb879bb9b9","first_computed_at":"2026-05-18T01:12:36.725099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:36.725099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6J3jL16gM7FWJ7rt940uxsNQ9rXeXnOFIarYFmrSf7DIhEIdq8k+9et0KSpLBm5Woyr9ehHdLwvmndn9HRBuBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:36.725692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c34e23c1410da4990f792dcdbad12dec9c54f490c4c2cb75c2665914dd0207f","sha256:5e0124c3e7b447142ffabce9e281854aaad631a586a9a1bdc482f51c07bdac3c"],"state_sha256":"a760653e092571ebe784f18c5c471d3ab7b633af514b4766bce7fd6a25d5e47c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QL6QZ7zKha0VL41YF9l1GyiRrwBbHN03JM6J2tZBfPsZDkNT39g5mwnwRpERGmEyUpUeuXEhYCWjTG4PvCXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:28:44.194639Z","bundle_sha256":"e3a8a5dd437a0b71e48862b9e4dddfd6392597bac4c177703c2c5ae6c1e5cd5c"}}