{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LDGF45VEZLXVTOK2JM7T6QRPNP","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":"6a0c0874b2bf90b9d12cc5a4802d577719d8abbecfec5d3de77ed9b86c2c435f","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2006-12-04T06:07:55Z","title_canon_sha256":"fc901d1ac698eaa3741c89b5d3d7b80b1fa1ccfad95c661d72a4174a6e0b8490"},"schema_version":"1.0","source":{"id":"math/0612077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0612077","created_at":"2026-05-17T23:53:12Z"},{"alias_kind":"arxiv_version","alias_value":"math/0612077v2","created_at":"2026-05-17T23:53:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0612077","created_at":"2026-05-17T23:53:12Z"},{"alias_kind":"pith_short_12","alias_value":"LDGF45VEZLXV","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"LDGF45VEZLXVTOK2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"LDGF45VE","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:24d0ca0d6c9c5bd4da7202bd74fc5079b341eddc929045b6c0c855a8b7cf0266","target":"graph","created_at":"2026-05-17T23:53:12Z","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 consider the p-adic Galois representation associated to a Hilbert modular form. We show the compatibility with the local Langlands correspondence at a place divising p under a certain assumption. We also prove the monodromy-weight conjecture. The prime-to-p case is established by Carayol.","authors_text":"Takeshi Saito","cross_cats":[],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2006-12-04T06:07:55Z","title":"Hilbert modular forms and p-adic Hodge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0612077","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":"sha256:82f17f83ae4ae96823ebc82b87f6ad9d9970e31060c785234a7bfc87f3dd288b","target":"record","created_at":"2026-05-17T23:53:12Z","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":"6a0c0874b2bf90b9d12cc5a4802d577719d8abbecfec5d3de77ed9b86c2c435f","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2006-12-04T06:07:55Z","title_canon_sha256":"fc901d1ac698eaa3741c89b5d3d7b80b1fa1ccfad95c661d72a4174a6e0b8490"},"schema_version":"1.0","source":{"id":"math/0612077","kind":"arxiv","version":2}},"canonical_sha256":"58cc5e76a4caef59b95a4b3f3f422f6bfea8792e04be25eef013cf791f73d3a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58cc5e76a4caef59b95a4b3f3f422f6bfea8792e04be25eef013cf791f73d3a5","first_computed_at":"2026-05-17T23:53:12.285070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:12.285070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GiUPvpiXTIERjFo1ogeD16gv7dnW61M/hpfbBoaev3NK6gHJverkxINutHCVx5hXhIbNDjgg8488PCeR3CE+Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:12.285699Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0612077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82f17f83ae4ae96823ebc82b87f6ad9d9970e31060c785234a7bfc87f3dd288b","sha256:24d0ca0d6c9c5bd4da7202bd74fc5079b341eddc929045b6c0c855a8b7cf0266"],"state_sha256":"f150a381fc0449202128c74026a2d75219b892701bec79d0f6f2de47c465e83f"}