{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IA6FKF4ARWCVEZPWO2WO4EVACN","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":"46f7e009dbf962c792793edb232300f6aa88a73b5d6fc86ccc6d6b6732bc9e69","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-12T23:33:46Z","title_canon_sha256":"10a560d510acb833615109935128b27f69b5d10e9d72c8a66f1f5924b2dd0aa9"},"schema_version":"1.0","source":{"id":"2510.10854","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.10854","created_at":"2026-06-23T01:12:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.10854v3","created_at":"2026-06-23T01:12:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.10854","created_at":"2026-06-23T01:12:47Z"},{"alias_kind":"pith_short_12","alias_value":"IA6FKF4ARWCV","created_at":"2026-06-23T01:12:47Z"},{"alias_kind":"pith_short_16","alias_value":"IA6FKF4ARWCVEZPW","created_at":"2026-06-23T01:12:47Z"},{"alias_kind":"pith_short_8","alias_value":"IA6FKF4A","created_at":"2026-06-23T01:12:47Z"}],"graph_snapshots":[{"event_id":"sha256:3d0296a487a207b37a9e85d99969637cb2b237005213646799afcb09ac9804d8","target":"graph","created_at":"2026-06-23T01:12:47Z","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/2510.10854/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Diffusion models have demonstrated remarkable performance in generating high-dimensional samples across domains such as vision, language, and the sciences. Although continuous-state diffusion models have been extensively studied both empirically and theoretically, discrete-state diffusion models, essential for applications involving text, sequences, and combinatorial structures, remain significantly less understood from a theoretical standpoint. In particular, all existing analyses of discrete-state models assume score estimation error bounds without studying sample complexity results. In this","authors_text":"Aadithya Srikanth, Mudit Gaur, Vaneet Aggarwal","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-12T23:33:46Z","title":"Discrete State Diffusion Models: A Sample Complexity Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.10854","kind":"arxiv","version":3},"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":"sha256:4a213223073c9d252ead05dad780ffa9e54370fe21d27961633578d567b582f4","target":"record","created_at":"2026-06-23T01:12:47Z","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":"46f7e009dbf962c792793edb232300f6aa88a73b5d6fc86ccc6d6b6732bc9e69","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-12T23:33:46Z","title_canon_sha256":"10a560d510acb833615109935128b27f69b5d10e9d72c8a66f1f5924b2dd0aa9"},"schema_version":"1.0","source":{"id":"2510.10854","kind":"arxiv","version":3}},"canonical_sha256":"403c5517808d855265f676acee12a01364708ce86a798a3d8cf30e3da4058f9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"403c5517808d855265f676acee12a01364708ce86a798a3d8cf30e3da4058f9f","first_computed_at":"2026-06-23T01:12:47.679673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:12:47.679673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ukPFJDw3u4I/vGWpYPodjeuH4vv60r9taQp2ysng+m6AxtI15rXaByFOXwjYEtdY56sq4pI9t2LJJvyIjlsJDQ==","signature_status":"signed_v1","signed_at":"2026-06-23T01:12:47.680210Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.10854","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a213223073c9d252ead05dad780ffa9e54370fe21d27961633578d567b582f4","sha256:3d0296a487a207b37a9e85d99969637cb2b237005213646799afcb09ac9804d8"],"state_sha256":"799c53d5525aab74b1bd3956b68252166d608ce7fa0d2cb7232faa3d0c51021f"}