{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LXOSLF2HZHIJ6KFO445NKPKONJ","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":"eeccf19068b79e6af264f352668069089750cb968d42315e918c92fa6ac2f452","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-07-27T05:53:00Z","title_canon_sha256":"219005735b97fc147906121c525aec3f1f5ecac9155cdefb1f2477698bb0864b"},"schema_version":"1.0","source":{"id":"2607.24025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24025","created_at":"2026-07-28T01:23:41Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24025v1","created_at":"2026-07-28T01:23:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24025","created_at":"2026-07-28T01:23:41Z"},{"alias_kind":"pith_short_12","alias_value":"LXOSLF2HZHIJ","created_at":"2026-07-28T01:23:41Z"},{"alias_kind":"pith_short_16","alias_value":"LXOSLF2HZHIJ6KFO","created_at":"2026-07-28T01:23:41Z"},{"alias_kind":"pith_short_8","alias_value":"LXOSLF2H","created_at":"2026-07-28T01:23:41Z"}],"graph_snapshots":[{"event_id":"sha256:edd57e659f6a81ea65d3ca48cb6d7b9e0d2cbe55701c04cc0b8de875f0dc1be3","target":"graph","created_at":"2026-07-28T01:23:41Z","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/2607.24025/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transformer architectures have achieved remarkable success across diverse domains; however, directly applying their standard self-attention mechanism to recommendation often yields suboptimal performance, sometimes even trailing behind well-designed simple recommendation models. In this paper, we reveal that this performance bottleneck stems from severe embedding and attention collapse unique to recommendation scenarios. The heterogeneity and long-tail nature of recommendation data lead to a severe spectral collapse dominated by a few principal singular values. We further theoretically demonst","authors_text":"Can Wang, Hao Zhang, Jiahao Wang, Jiawei Chen, Jinxin Hu, Xiaoyi Zeng, Yi Xu, Yu Cui, Yu Zhang","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-07-27T05:53:00Z","title":"SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24025","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":"sha256:3f08b594ef56cc8952eb9922b15613f762beb2c27df83321859feba6f0c6ad50","target":"record","created_at":"2026-07-28T01:23:41Z","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":"eeccf19068b79e6af264f352668069089750cb968d42315e918c92fa6ac2f452","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IR","submitted_at":"2026-07-27T05:53:00Z","title_canon_sha256":"219005735b97fc147906121c525aec3f1f5ecac9155cdefb1f2477698bb0864b"},"schema_version":"1.0","source":{"id":"2607.24025","kind":"arxiv","version":1}},"canonical_sha256":"5ddd259747c9d09f28aee73ad53d4e6a7416f2847e863c35d0c6b6413be8775c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ddd259747c9d09f28aee73ad53d4e6a7416f2847e863c35d0c6b6413be8775c","first_computed_at":"2026-07-28T01:23:41.715523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:23:41.715523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R8eEEMQL2Gv7rI4dKR4c1ZrwLMwkEipUDfSAo+aV19blhah0S+Ip1z24qFOXOm7+j/OGgOikrOJgS+RRXhV0DQ==","signature_status":"signed_v1","signed_at":"2026-07-28T01:23:41.716368Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f08b594ef56cc8952eb9922b15613f762beb2c27df83321859feba6f0c6ad50","sha256:edd57e659f6a81ea65d3ca48cb6d7b9e0d2cbe55701c04cc0b8de875f0dc1be3"],"state_sha256":"5c4924524a61813fbd6c115bdc353d52cda981ac8bbc6c72c61977daa835d5b7"}