{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XMGECEIBGYXCDTJ6PBA5ZBHWAY","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":"88109cb323d11f8fb28591d80b71362040be35b66c72a84eda7658aefca7d875","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-17T14:17:20Z","title_canon_sha256":"c406f64549e76d609066b7b5d1514e28ea1f12be71237afef8c190d954233640"},"schema_version":"1.0","source":{"id":"1705.06174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06174","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06174v1","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06174","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"XMGECEIBGYXC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XMGECEIBGYXCDTJ6","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XMGECEIB","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:d85edce9c357fcb895beacd0f8da1a7ac58962736d9c35431905680143b468c7","target":"graph","created_at":"2026-05-18T00:19:35Z","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 a homogenization question for stochastic divergence type operator","authors_text":"Jean Bourgain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-17T14:17:20Z","title":"On a homogenization problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06174","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:b14f441e05fa9a4a09d7437abb12a80f3f8103c7b48eee9803dee49f1a33c61b","target":"record","created_at":"2026-05-18T00:19:35Z","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":"88109cb323d11f8fb28591d80b71362040be35b66c72a84eda7658aefca7d875","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-17T14:17:20Z","title_canon_sha256":"c406f64549e76d609066b7b5d1514e28ea1f12be71237afef8c190d954233640"},"schema_version":"1.0","source":{"id":"1705.06174","kind":"arxiv","version":1}},"canonical_sha256":"bb0c411101362e21cd3e7841dc84f6060356dd973531ed0440e0d6e06dfc6d2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb0c411101362e21cd3e7841dc84f6060356dd973531ed0440e0d6e06dfc6d2d","first_computed_at":"2026-05-18T00:19:35.763927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:35.763927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W2JovJnMCiMg4C7E91xRYHQWnhf785ZbhyH3+YFeuli2zUIo66vAgNBhQLkTOxtj/IF1hYrAlkUByhkp/zJ6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:35.764537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b14f441e05fa9a4a09d7437abb12a80f3f8103c7b48eee9803dee49f1a33c61b","sha256:d85edce9c357fcb895beacd0f8da1a7ac58962736d9c35431905680143b468c7"],"state_sha256":"89ae3e58429de97aec9ed51ec9702478da6790c1b7e7697deb19e0bc01b28faa"}