{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SOSNE3N2GEBFF47NNPDTNEVF26","short_pith_number":"pith:SOSNE3N2","canonical_record":{"source":{"id":"2412.08139","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2024-12-11T06:54:39Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"e8a3a122a7271b11991364b812d08c6075ec9f8923536a29e62f3fd288e663c8","abstract_canon_sha256":"5e25aba6b043de0b9d1bc6bf3ab32c429053f7c334a494df241fe31e55d578bc"},"schema_version":"1.0"},"canonical_sha256":"93a4d26dba310252f3ed6bc73692a5d784f929311b84cd0819fddf83ba4751e2","source":{"kind":"arxiv","id":"2412.08139","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08139","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08139v1","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08139","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"SOSNE3N2GEBF","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOSNE3N2GEBFF47N","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOSNE3N2","created_at":"2026-07-05T09:47:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SOSNE3N2GEBFF47NNPDTNEVF26","target":"record","payload":{"canonical_record":{"source":{"id":"2412.08139","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2024-12-11T06:54:39Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"e8a3a122a7271b11991364b812d08c6075ec9f8923536a29e62f3fd288e663c8","abstract_canon_sha256":"5e25aba6b043de0b9d1bc6bf3ab32c429053f7c334a494df241fe31e55d578bc"},"schema_version":"1.0"},"canonical_sha256":"93a4d26dba310252f3ed6bc73692a5d784f929311b84cd0819fddf83ba4751e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:47:44.926343Z","signature_b64":"cIfqtZHLwCHkMbtoAOz44086Z8xVX9FI+e+sDrsyy8AXvADVAX123aJjiqEX7MwPy/mr8ZdXNx+JMHApQ8ylCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93a4d26dba310252f3ed6bc73692a5d784f929311b84cd0819fddf83ba4751e2","last_reissued_at":"2026-07-05T09:47:44.925925Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:47:44.925925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.08139","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":"2026-07-05T09:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8TXy+KCuD8MfqBcNN0nvgVtluuidDjvf1C72lM8pJFEplN8jS5vR2nArfIDIYv4h486gCaE3dlX/5J6RkEyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:43:45.608672Z"},"content_sha256":"874eb3d20c2b9cff89b12e38e2fa77f3a497e42fa763fc6ac0ce205ddbc2c64e","schema_version":"1.0","event_id":"sha256:874eb3d20c2b9cff89b12e38e2fa77f3a497e42fa763fc6ac0ce205ddbc2c64e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SOSNE3N2GEBFF47NNPDTNEVF26","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wasserstein Distance Rivals Kullback-Leibler Divergence for Knowledge Distillation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.CV","authors_text":"Haoyuan Yang, Jiaming Lv, Peihua Li","submitted_at":"2024-12-11T06:54:39Z","abstract_excerpt":"Since pioneering work of Hinton et al., knowledge distillation based on Kullback-Leibler Divergence (KL-Div) has been predominant, and recently its variants have achieved compelling performance. However, KL-Div only compares probabilities of the corresponding category between the teacher and student while lacking a mechanism for cross-category comparison. Besides, KL-Div is problematic when applied to intermediate layers, as it cannot handle non-overlapping distributions and is unaware of geometry of the underlying manifold. To address these downsides, we propose a methodology of Wasserstein D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08139","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/2412.08139/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":"2026-07-05T09:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kSw8kUFRIk+KOobMt2p+VXkr/XL1ShR1fO2FfOTYrIo4RraFrocrilH8lmY5jRrEFV/PkTjpZL1cvQ1rTyBDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:43:45.609414Z"},"content_sha256":"2f10db880999f7cc7a7bcf0453e86c767a8d35ae27730602a9dd163935706bc3","schema_version":"1.0","event_id":"sha256:2f10db880999f7cc7a7bcf0453e86c767a8d35ae27730602a9dd163935706bc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOSNE3N2GEBFF47NNPDTNEVF26/bundle.json","state_url":"https://pith.science/pith/SOSNE3N2GEBFF47NNPDTNEVF26/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOSNE3N2GEBFF47NNPDTNEVF26/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":"2026-08-13T21:43:45Z","links":{"resolver":"https://pith.science/pith/SOSNE3N2GEBFF47NNPDTNEVF26","bundle":"https://pith.science/pith/SOSNE3N2GEBFF47NNPDTNEVF26/bundle.json","state":"https://pith.science/pith/SOSNE3N2GEBFF47NNPDTNEVF26/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOSNE3N2GEBFF47NNPDTNEVF26/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SOSNE3N2GEBFF47NNPDTNEVF26","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":"5e25aba6b043de0b9d1bc6bf3ab32c429053f7c334a494df241fe31e55d578bc","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2024-12-11T06:54:39Z","title_canon_sha256":"e8a3a122a7271b11991364b812d08c6075ec9f8923536a29e62f3fd288e663c8"},"schema_version":"1.0","source":{"id":"2412.08139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08139","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08139v1","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08139","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"SOSNE3N2GEBF","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOSNE3N2GEBFF47N","created_at":"2026-07-05T09:47:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOSNE3N2","created_at":"2026-07-05T09:47:44Z"}],"graph_snapshots":[{"event_id":"sha256:2f10db880999f7cc7a7bcf0453e86c767a8d35ae27730602a9dd163935706bc3","target":"graph","created_at":"2026-07-05T09:47:44Z","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/2412.08139/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Since pioneering work of Hinton et al., knowledge distillation based on Kullback-Leibler Divergence (KL-Div) has been predominant, and recently its variants have achieved compelling performance. However, KL-Div only compares probabilities of the corresponding category between the teacher and student while lacking a mechanism for cross-category comparison. Besides, KL-Div is problematic when applied to intermediate layers, as it cannot handle non-overlapping distributions and is unaware of geometry of the underlying manifold. To address these downsides, we propose a methodology of Wasserstein D","authors_text":"Haoyuan Yang, Jiaming Lv, Peihua Li","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2024-12-11T06:54:39Z","title":"Wasserstein Distance Rivals Kullback-Leibler Divergence for Knowledge Distillation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08139","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":"sha256:874eb3d20c2b9cff89b12e38e2fa77f3a497e42fa763fc6ac0ce205ddbc2c64e","target":"record","created_at":"2026-07-05T09:47:44Z","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":"5e25aba6b043de0b9d1bc6bf3ab32c429053f7c334a494df241fe31e55d578bc","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2024-12-11T06:54:39Z","title_canon_sha256":"e8a3a122a7271b11991364b812d08c6075ec9f8923536a29e62f3fd288e663c8"},"schema_version":"1.0","source":{"id":"2412.08139","kind":"arxiv","version":1}},"canonical_sha256":"93a4d26dba310252f3ed6bc73692a5d784f929311b84cd0819fddf83ba4751e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93a4d26dba310252f3ed6bc73692a5d784f929311b84cd0819fddf83ba4751e2","first_computed_at":"2026-07-05T09:47:44.925925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:47:44.925925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cIfqtZHLwCHkMbtoAOz44086Z8xVX9FI+e+sDrsyy8AXvADVAX123aJjiqEX7MwPy/mr8ZdXNx+JMHApQ8ylCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:47:44.926343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:874eb3d20c2b9cff89b12e38e2fa77f3a497e42fa763fc6ac0ce205ddbc2c64e","sha256:2f10db880999f7cc7a7bcf0453e86c767a8d35ae27730602a9dd163935706bc3"],"state_sha256":"7c81dca8ca46f0fce9e416a44fafc2c407ab052c45ff5812abff962687581e31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T+B9DF75N7D5lYQFaHlMCFu61UMrwX1O3UCLEuijl/F8cguixQCC34E9rjeLpZkzeh8zTzIT1SupQQgoB982DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T21:43:45.625341Z","bundle_sha256":"9e1b8af58a589199f418c889de31a84cca27bd056257eed83cc3486895b14207"}}