{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RGG4JKLCFR2BVLJXJ5HH5PEBY4","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":"f468fc00a682828c4a5085aeec9a3dbd6bd0093bdb1f7c2e4f3eb45eea7ae261","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T14:10:55Z","title_canon_sha256":"f2fb58ad28f6a9e062f76b1f24f6b7f256fdcae8b6772996649e27bab4cd83dc"},"schema_version":"1.0","source":{"id":"2608.13274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.13274","created_at":"2026-08-14T01:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"2608.13274v1","created_at":"2026-08-14T01:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13274","created_at":"2026-08-14T01:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"RGG4JKLCFR2B","created_at":"2026-08-14T01:00:49Z"},{"alias_kind":"pith_short_16","alias_value":"RGG4JKLCFR2BVLJX","created_at":"2026-08-14T01:00:49Z"},{"alias_kind":"pith_short_8","alias_value":"RGG4JKLC","created_at":"2026-08-14T01:00:49Z"}],"graph_snapshots":[{"event_id":"sha256:bd9d038290949f4c573fcf6b4ade4783eba644a34a1f478e61cc25873fae9fca","target":"graph","created_at":"2026-08-14T01:00:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.13274/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Causal mediation analysis is typically formulated under no interference, an assumption often violated in networked populations. We develop a nonparametric framework for a single large observed network that allows simultaneous treatment and mediator spillovers and high-dimensional network confounding. Exposure and mediator mappings define causal estimands without restricting the true interference mechanism, separating own from spillover effects without prespecified aggregation models. Under strengthened conditional independence conditions, we identify own controlled direct, natural direct, and ","authors_text":"Peikai Wu, Zhiguo Xiao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T14:10:55Z","title":"Causal Mediation Analysis for Network Data with Graph Neural Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13274","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":"sha256:76798d7800bcc8f22c93560f05edbfb8997acefb013a22ae2c450fe5f18af7b9","target":"record","created_at":"2026-08-14T01:00:49Z","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":"f468fc00a682828c4a5085aeec9a3dbd6bd0093bdb1f7c2e4f3eb45eea7ae261","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-08-13T14:10:55Z","title_canon_sha256":"f2fb58ad28f6a9e062f76b1f24f6b7f256fdcae8b6772996649e27bab4cd83dc"},"schema_version":"1.0","source":{"id":"2608.13274","kind":"arxiv","version":1}},"canonical_sha256":"898dc4a9622c741aad374f4e7ebc81c72ce1e8d19b15c9be784179c0c1e0527c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"898dc4a9622c741aad374f4e7ebc81c72ce1e8d19b15c9be784179c0c1e0527c","first_computed_at":"2026-08-14T01:00:49.896247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T01:00:49.896247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cDC6KUNAGOIdffvjQY/s5+Q7LzWxzSbCdW6VDgSaLaqSiZ7mZOwGlQkchYSK7bII6j2VZGNGRfbtx9Zg6uACAQ==","signature_status":"signed_v1","signed_at":"2026-08-14T01:00:49.898298Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.13274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76798d7800bcc8f22c93560f05edbfb8997acefb013a22ae2c450fe5f18af7b9","sha256:bd9d038290949f4c573fcf6b4ade4783eba644a34a1f478e61cc25873fae9fca"],"state_sha256":"fe0cb1382eab0bc9f1cd1d2aab0cca1a4cb9d145c69644e3723a5d0a1810671d"}