{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:V67NSWBDXGIYCGTNUF4ITXQ7PE","short_pith_number":"pith:V67NSWBD","canonical_record":{"source":{"id":"2606.10078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2026-06-08T18:53:45Z","cross_cats_sorted":[],"title_canon_sha256":"99dd149ffb05d8038055edd5e89a53346171b4182a61d3d877b6c4e0d6f74fc7","abstract_canon_sha256":"6bb0254893bb6ed8f45b6653d451359086a4c167b8ae3649b73951c5843fbda6"},"schema_version":"1.0"},"canonical_sha256":"afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9","source":{"kind":"arxiv","id":"2606.10078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10078","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10078v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10078","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"V67NSWBDXGIY","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"V67NSWBDXGIYCGTN","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"V67NSWBD","created_at":"2026-06-10T00:08:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:V67NSWBDXGIYCGTNUF4ITXQ7PE","target":"record","payload":{"canonical_record":{"source":{"id":"2606.10078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2026-06-08T18:53:45Z","cross_cats_sorted":[],"title_canon_sha256":"99dd149ffb05d8038055edd5e89a53346171b4182a61d3d877b6c4e0d6f74fc7","abstract_canon_sha256":"6bb0254893bb6ed8f45b6653d451359086a4c167b8ae3649b73951c5843fbda6"},"schema_version":"1.0"},"canonical_sha256":"afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T00:08:48.228222Z","signature_b64":"0GNiPHgzC6KD81AllvlKS6ufntT6mf5uBelo84Nja4RO5rWZXR8IueiEyoq+6lTHTmFWbFRchVuzUnvPspyjDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9","last_reissued_at":"2026-06-10T00:08:48.227327Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T00:08:48.227327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.10078","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DYMSWm06O5DQCnFdfrpI6eH6p2g7p6UL1KN4WR/w611awz+DRMNRPxfS67q8xgZ79TnQieqcbvmaa8ykMi1qCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:25:05.727799Z"},"content_sha256":"43fcac6058ddcb43c1466f76eeebe6219026342749e6f9daf1eb4bd5dc845941","schema_version":"1.0","event_id":"sha256:43fcac6058ddcb43c1466f76eeebe6219026342749e6f9daf1eb4bd5dc845941"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:V67NSWBDXGIYCGTNUF4ITXQ7PE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mult-DPO: Multinomial Direct Preference Optimization for Recommender Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.IR","authors_text":"Aditya Sinha, Harald Steck, James McInerney, Jundong Li, Nathan Kallus, Yaochen Zhu, Yinhan He","submitted_at":"2026-06-08T18:53:45Z","abstract_excerpt":"Direct preference optimization (DPO) is a simple and effective alignment strategy for large language models (LLMs) based on pairwise preferences. In recommender systems, however, user feedback is rarely pairwise. For a given context, e.g., a user, a session, or a conversation, we typically observe set-wise preferences with multiple positive items, where every positive item should outrank every unobserved or explicitly negative item, with no prescribed order among the positives or the negatives themselves. A natural generalization is to use the Plackett-Luce (PL) reward model, which extends the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10078","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.10078/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88xRU3tV+hkta4PBAOTYWigXwrwJSJ9bVnyprAuV2tQ/uwdSq3IB21+8ZyIDXDr2pDtl6c1hew0w2U8o31jZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:25:05.728651Z"},"content_sha256":"d29ab0ca86debecfc3bc78261870224a83ac35703c94b573573e9cb5ee49b3df","schema_version":"1.0","event_id":"sha256:d29ab0ca86debecfc3bc78261870224a83ac35703c94b573573e9cb5ee49b3df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/bundle.json","state_url":"https://pith.science/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T03:25:05Z","links":{"resolver":"https://pith.science/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE","bundle":"https://pith.science/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/bundle.json","state":"https://pith.science/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V67NSWBDXGIYCGTNUF4ITXQ7PE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:V67NSWBDXGIYCGTNUF4ITXQ7PE","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":"6bb0254893bb6ed8f45b6653d451359086a4c167b8ae3649b73951c5843fbda6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2026-06-08T18:53:45Z","title_canon_sha256":"99dd149ffb05d8038055edd5e89a53346171b4182a61d3d877b6c4e0d6f74fc7"},"schema_version":"1.0","source":{"id":"2606.10078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10078","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10078v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10078","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"V67NSWBDXGIY","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"V67NSWBDXGIYCGTN","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"V67NSWBD","created_at":"2026-06-10T00:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:d29ab0ca86debecfc3bc78261870224a83ac35703c94b573573e9cb5ee49b3df","target":"graph","created_at":"2026-06-10T00:08:48Z","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/2606.10078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Direct preference optimization (DPO) is a simple and effective alignment strategy for large language models (LLMs) based on pairwise preferences. In recommender systems, however, user feedback is rarely pairwise. For a given context, e.g., a user, a session, or a conversation, we typically observe set-wise preferences with multiple positive items, where every positive item should outrank every unobserved or explicitly negative item, with no prescribed order among the positives or the negatives themselves. A natural generalization is to use the Plackett-Luce (PL) reward model, which extends the","authors_text":"Aditya Sinha, Harald Steck, James McInerney, Jundong Li, Nathan Kallus, Yaochen Zhu, Yinhan He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2026-06-08T18:53:45Z","title":"Mult-DPO: Multinomial Direct Preference Optimization for Recommender Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10078","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":"sha256:43fcac6058ddcb43c1466f76eeebe6219026342749e6f9daf1eb4bd5dc845941","target":"record","created_at":"2026-06-10T00:08:48Z","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":"6bb0254893bb6ed8f45b6653d451359086a4c167b8ae3649b73951c5843fbda6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2026-06-08T18:53:45Z","title_canon_sha256":"99dd149ffb05d8038055edd5e89a53346171b4182a61d3d877b6c4e0d6f74fc7"},"schema_version":"1.0","source":{"id":"2606.10078","kind":"arxiv","version":1}},"canonical_sha256":"afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afbed95823b991811a6da17889de1f792a5b315f33516f996c8d3267482e54d9","first_computed_at":"2026-06-10T00:08:48.227327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T00:08:48.227327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0GNiPHgzC6KD81AllvlKS6ufntT6mf5uBelo84Nja4RO5rWZXR8IueiEyoq+6lTHTmFWbFRchVuzUnvPspyjDw==","signature_status":"signed_v1","signed_at":"2026-06-10T00:08:48.228222Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43fcac6058ddcb43c1466f76eeebe6219026342749e6f9daf1eb4bd5dc845941","sha256:d29ab0ca86debecfc3bc78261870224a83ac35703c94b573573e9cb5ee49b3df"],"state_sha256":"40430066a2e0dfc946e5e7227adc327eb74a7d015797564c66b0c9e3d53ab3e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+0m7trmw41Lj/9LCuKMmiMJ0+pXOixdDhvsaz4kti/gyfTTcQElXexjOHe6l8Rv0PdaT/mjqXa6pD2v7I8TCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:25:05.733131Z","bundle_sha256":"4f5c37cd9782a2a0c65e5847b1136f580ebabc9ce84c615a4ee90d7ef474ed2d"}}