{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7SD4E64BHNMJHGUG5LPNKF4KLD","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":"7fd12afeb14755f688b7eebddd2ebcc195d251d182735da42e625a46b1135401","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-22T18:50:24Z","title_canon_sha256":"d92a52514538ed602f1f4b87378c9e67531413922bd9465f9787fc9cbc488504"},"schema_version":"1.0","source":{"id":"1201.4589","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4589","created_at":"2026-05-18T03:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4589v2","created_at":"2026-05-18T03:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4589","created_at":"2026-05-18T03:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"7SD4E64BHNMJ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7SD4E64BHNMJHGUG","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7SD4E64B","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:4bd5b6c6ee7245f07b8b6e62c70d4fc6492f5a0bf96b1ea85790aca0b2a32fc6","target":"graph","created_at":"2026-05-18T03:36:04Z","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":"The cuspidalization conjecture emerged as an approach of Grothendieck's famous section conjecture. We address a weak form of it by using a mild generalization of a theorem of Uwe Jannsen which describes exactly when the $l$-adic homology of an open curve is a pure Galois representation. We also give some concrete examples of modular curves for which the cuspidalization is possible at the $l$-adic level.","authors_text":"Michel Emsalem, Niels Borne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-22T18:50:24Z","title":"Un crit\\`ere d'\\'epointage des sections $l$-adiques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4589","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":"sha256:4bb7b87776c15f10e063dd179f183a20ee661e8fdf50a3342b170db1fead57d6","target":"record","created_at":"2026-05-18T03:36:04Z","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":"7fd12afeb14755f688b7eebddd2ebcc195d251d182735da42e625a46b1135401","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-22T18:50:24Z","title_canon_sha256":"d92a52514538ed602f1f4b87378c9e67531413922bd9465f9787fc9cbc488504"},"schema_version":"1.0","source":{"id":"1201.4589","kind":"arxiv","version":2}},"canonical_sha256":"fc87c27b813b58939a86eaded5178a58e13bef0cbb78348a3e6e250ee8095835","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc87c27b813b58939a86eaded5178a58e13bef0cbb78348a3e6e250ee8095835","first_computed_at":"2026-05-18T03:36:04.709332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:04.709332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xoC3TwVJVvdk3eykRAeYeGb3/dklxcKTdEFTNmaldD2ao6GedkINGvMD9bcRjcE5DTzAZX1jvkZACqz2kiRYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:04.709770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4589","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bb7b87776c15f10e063dd179f183a20ee661e8fdf50a3342b170db1fead57d6","sha256:4bd5b6c6ee7245f07b8b6e62c70d4fc6492f5a0bf96b1ea85790aca0b2a32fc6"],"state_sha256":"322ea7dab0128406dcb40b6aaaa97b2ac32009bf60b4d38e9b8b1f4b2ca3f9e5"}