{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:P2CEYABRLE33UOE4QXNLFJFZ6P","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":"67772c4638a5d378d786124684581dd3431c0786ae1e15488f48d69c7f9c5528","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T18:54:07Z","title_canon_sha256":"833629e276a8c8a39cf59f4412dabd5bbc401be2a7fa5d2dbc7491bd58ec7467"},"schema_version":"1.0","source":{"id":"2412.09579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09579","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09579v1","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09579","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"P2CEYABRLE33","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_16","alias_value":"P2CEYABRLE33UOE4","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_8","alias_value":"P2CEYABR","created_at":"2026-07-05T09:48:26Z"}],"graph_snapshots":[{"event_id":"sha256:bf4e139b900a9c81d530705e47b5a264162d3af97e34e39d5561ef258b873e3b","target":"graph","created_at":"2026-07-05T09:48:26Z","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/2412.09579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Knowledge distillation, where a small student model learns from a pre-trained large teacher model, has achieved substantial empirical success since the seminal work of \\citep{hinton2015distilling}. Despite prior theoretical studies exploring the benefits of knowledge distillation, an important question remains unanswered: why does soft-label training from the teacher require significantly fewer neurons than directly training a small neural network with hard labels? To address this, we first present motivating experimental results using simple neural network models on a binary classification pr","authors_text":"R. Srikant, Saptarshi Mandal, Xiaojun Lin","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T18:54:07Z","title":"A Theoretical Analysis of Soft-Label vs Hard-Label Training in Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09579","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":"sha256:0558f0a7af71d2cd4f899333b075e6de071850717688b3a3c73e98e77c8f0c2e","target":"record","created_at":"2026-07-05T09:48:26Z","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":"67772c4638a5d378d786124684581dd3431c0786ae1e15488f48d69c7f9c5528","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T18:54:07Z","title_canon_sha256":"833629e276a8c8a39cf59f4412dabd5bbc401be2a7fa5d2dbc7491bd58ec7467"},"schema_version":"1.0","source":{"id":"2412.09579","kind":"arxiv","version":1}},"canonical_sha256":"7e844c00315937ba389c85dab2a4b9f3d43fb8dccb60806d31adcfcbef7b1847","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e844c00315937ba389c85dab2a4b9f3d43fb8dccb60806d31adcfcbef7b1847","first_computed_at":"2026-07-05T09:48:26.502492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:26.502492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IbvKZthkXculg7K3rswL7ExVdqAQct26mYLGheKHZ7DhsQTaZutxMVNDyhfRze/l8EoQm4w4o12LPCbkwzHBAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:26.502975Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09579","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0558f0a7af71d2cd4f899333b075e6de071850717688b3a3c73e98e77c8f0c2e","sha256:bf4e139b900a9c81d530705e47b5a264162d3af97e34e39d5561ef258b873e3b"],"state_sha256":"6ee04d02846d1cb539cc1d8896c864f27cdbf2c471c3547c8233a562789b55f9"}