{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:B4RG6DYRA3OGGWHWVB572RXDV4","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":"957b2b0565ea9a8a4741d04a0d496bbfd5a47db12da18c9e32bce77e0c68c402","cross_cats_sorted":["cs.AI","cs.LG","econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T19:42:01Z","title_canon_sha256":"08aa51e8f291b7d4a71bf031844370f49a7cbc6485a16de43948fe85c26c78d9"},"schema_version":"1.0","source":{"id":"2606.10112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10112","created_at":"2026-06-10T01:08:54Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10112v1","created_at":"2026-06-10T01:08:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10112","created_at":"2026-06-10T01:08:54Z"},{"alias_kind":"pith_short_12","alias_value":"B4RG6DYRA3OG","created_at":"2026-06-10T01:08:54Z"},{"alias_kind":"pith_short_16","alias_value":"B4RG6DYRA3OGGWHW","created_at":"2026-06-10T01:08:54Z"},{"alias_kind":"pith_short_8","alias_value":"B4RG6DYR","created_at":"2026-06-10T01:08:54Z"}],"graph_snapshots":[{"event_id":"sha256:577c970df61904701ff0fc47854e30986c49efdb9b2bf1f9eeba00a2f05fe8ee","target":"graph","created_at":"2026-06-10T01:08:54Z","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/2606.10112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Characterizing revenue-optimal auctions for multi-item, multi-bidder settings remains a fundamental open problem, with no known closed-form solution existing beyond restrictive binary-type instances. This has motivated interest in computational approaches to optimal auction design. In this paper, we introduce the first computational framework that directly tackles the dual problem for multi-item, multi-bidder auctions and dominant-strategy incentive compatibility (DSIC), generating certified revenue upper bounds. Our approach parametrizes Lagrange multipliers with a structurally guaranteed str","authors_text":"David C. Parkes, Tonghan Wang, Yanchen Jiang","cross_cats":["cs.AI","cs.LG","econ.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T19:42:01Z","title":"Duality for Optimal Multi-Item, Multi-Bidder Auction Design: Revenue Certificates through Deep Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10112","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":"sha256:5e972cec11e0ef019eabb5a5143589895180a920bcc049eeb1bfba38e89dbba6","target":"record","created_at":"2026-06-10T01:08:54Z","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":"957b2b0565ea9a8a4741d04a0d496bbfd5a47db12da18c9e32bce77e0c68c402","cross_cats_sorted":["cs.AI","cs.LG","econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T19:42:01Z","title_canon_sha256":"08aa51e8f291b7d4a71bf031844370f49a7cbc6485a16de43948fe85c26c78d9"},"schema_version":"1.0","source":{"id":"2606.10112","kind":"arxiv","version":1}},"canonical_sha256":"0f226f0f1106dc6358f6a87bfd46e3af355d766c516dd84cd75dbcdcb435b084","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f226f0f1106dc6358f6a87bfd46e3af355d766c516dd84cd75dbcdcb435b084","first_computed_at":"2026-06-10T01:08:54.843540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:08:54.843540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m50KAzpPjsoueghdzZK5IdnkU/z6Aef4rs+RUTIAT/3SWhn6C9ffzIn0jDBscXQPkWNPy+Atn4ZDQnI7oqCMAA==","signature_status":"signed_v1","signed_at":"2026-06-10T01:08:54.844731Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e972cec11e0ef019eabb5a5143589895180a920bcc049eeb1bfba38e89dbba6","sha256:577c970df61904701ff0fc47854e30986c49efdb9b2bf1f9eeba00a2f05fe8ee"],"state_sha256":"8244f4a8386c3352de51304226a469f6e09bdef9e2cb876dcc45f0cb1b41195d"}