{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PZWHAXGZVERPDPQHTI4GFSC27M","short_pith_number":"pith:PZWHAXGZ","canonical_record":{"source":{"id":"2303.05689","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CV","submitted_at":"2023-03-10T03:44:01Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"ffc084ec314d8930fae76a104135749bc903dbe057c5e8abcd591a9c03ad92ab","abstract_canon_sha256":"3a055a986a41147093562ea1cf805e68612bff4853ded0e4f17c79d9793ec1d0"},"schema_version":"1.0"},"canonical_sha256":"7e6c705cd9a922f1be079a3862c85afb12abce769ccbccefcaa3f2d40b97fe9d","source":{"kind":"arxiv","id":"2303.05689","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.05689","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"2303.05689v2","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.05689","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"PZWHAXGZVERP","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_16","alias_value":"PZWHAXGZVERPDPQH","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_8","alias_value":"PZWHAXGZ","created_at":"2026-07-05T06:39:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PZWHAXGZVERPDPQHTI4GFSC27M","target":"record","payload":{"canonical_record":{"source":{"id":"2303.05689","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CV","submitted_at":"2023-03-10T03:44:01Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"ffc084ec314d8930fae76a104135749bc903dbe057c5e8abcd591a9c03ad92ab","abstract_canon_sha256":"3a055a986a41147093562ea1cf805e68612bff4853ded0e4f17c79d9793ec1d0"},"schema_version":"1.0"},"canonical_sha256":"7e6c705cd9a922f1be079a3862c85afb12abce769ccbccefcaa3f2d40b97fe9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:39:33.301004Z","signature_b64":"rfoDEXY9d8iTmASHbn1K37jzn67HNa5dkIFTRkQVenDT4HD9KakqQhTA2MCbLv2JacbegA7Zo+hHDWLQwq3tBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e6c705cd9a922f1be079a3862c85afb12abce769ccbccefcaa3f2d40b97fe9d","last_reissued_at":"2026-07-05T06:39:33.300586Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:39:33.300586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.05689","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7ElbNmnu6uqsrnRxn4fby+iRETC/72vHc9+F/QQkbpE2/OrmLsjEb7iXzgfMk8+fE4icgZxNk3phjk1o6G/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:06:48.835676Z"},"content_sha256":"e02af28ffd44c81a03a8c7708168a3b3f68a3b6c33b3d972b8eebc62ca9f7904","schema_version":"1.0","event_id":"sha256:e02af28ffd44c81a03a8c7708168a3b3f68a3b6c33b3d972b8eebc62ca9f7904"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PZWHAXGZVERPDPQHTI4GFSC27M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inducing Neural Collapse to a Fixed Hierarchy-Aware Frame for Reducing Mistake Severity","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.CV","authors_text":"Jim Davis, Tong Liang","submitted_at":"2023-03-10T03:44:01Z","abstract_excerpt":"There is a recently discovered and intriguing phenomenon called Neural Collapse: at the terminal phase of training a deep neural network for classification, the within-class penultimate feature means and the associated classifier vectors of all flat classes collapse to the vertices of a simplex Equiangular Tight Frame (ETF). Recent work has tried to exploit this phenomenon by fixing the related classifier weights to a pre-computed ETF to induce neural collapse and maximize the separation of the learned features when training with imbalanced data. In this work, we propose to fix the linear clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05689","kind":"arxiv","version":2},"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/2303.05689/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":"2026-07-05T06:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OLJmhhFMR4qH2WkO7zfD8TOVnASM5k5i+QQUSzwAhO7lFXziWoAAu6f3v6jwj2bfDfga6AZ0UWbWWxlVi+sXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:06:48.836231Z"},"content_sha256":"fea74ea4aff8b04af6753b16a809256aac15a3c0fa8914341aed943d46051d86","schema_version":"1.0","event_id":"sha256:fea74ea4aff8b04af6753b16a809256aac15a3c0fa8914341aed943d46051d86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZWHAXGZVERPDPQHTI4GFSC27M/bundle.json","state_url":"https://pith.science/pith/PZWHAXGZVERPDPQHTI4GFSC27M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZWHAXGZVERPDPQHTI4GFSC27M/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":"2026-08-17T18:06:48Z","links":{"resolver":"https://pith.science/pith/PZWHAXGZVERPDPQHTI4GFSC27M","bundle":"https://pith.science/pith/PZWHAXGZVERPDPQHTI4GFSC27M/bundle.json","state":"https://pith.science/pith/PZWHAXGZVERPDPQHTI4GFSC27M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZWHAXGZVERPDPQHTI4GFSC27M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PZWHAXGZVERPDPQHTI4GFSC27M","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":"3a055a986a41147093562ea1cf805e68612bff4853ded0e4f17c79d9793ec1d0","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CV","submitted_at":"2023-03-10T03:44:01Z","title_canon_sha256":"ffc084ec314d8930fae76a104135749bc903dbe057c5e8abcd591a9c03ad92ab"},"schema_version":"1.0","source":{"id":"2303.05689","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.05689","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"2303.05689v2","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.05689","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"PZWHAXGZVERP","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_16","alias_value":"PZWHAXGZVERPDPQH","created_at":"2026-07-05T06:39:33Z"},{"alias_kind":"pith_short_8","alias_value":"PZWHAXGZ","created_at":"2026-07-05T06:39:33Z"}],"graph_snapshots":[{"event_id":"sha256:fea74ea4aff8b04af6753b16a809256aac15a3c0fa8914341aed943d46051d86","target":"graph","created_at":"2026-07-05T06:39:33Z","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/2303.05689/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is a recently discovered and intriguing phenomenon called Neural Collapse: at the terminal phase of training a deep neural network for classification, the within-class penultimate feature means and the associated classifier vectors of all flat classes collapse to the vertices of a simplex Equiangular Tight Frame (ETF). Recent work has tried to exploit this phenomenon by fixing the related classifier weights to a pre-computed ETF to induce neural collapse and maximize the separation of the learned features when training with imbalanced data. In this work, we propose to fix the linear clas","authors_text":"Jim Davis, Tong Liang","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CV","submitted_at":"2023-03-10T03:44:01Z","title":"Inducing Neural Collapse to a Fixed Hierarchy-Aware Frame for Reducing Mistake Severity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05689","kind":"arxiv","version":2},"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:e02af28ffd44c81a03a8c7708168a3b3f68a3b6c33b3d972b8eebc62ca9f7904","target":"record","created_at":"2026-07-05T06:39:33Z","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":"3a055a986a41147093562ea1cf805e68612bff4853ded0e4f17c79d9793ec1d0","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CV","submitted_at":"2023-03-10T03:44:01Z","title_canon_sha256":"ffc084ec314d8930fae76a104135749bc903dbe057c5e8abcd591a9c03ad92ab"},"schema_version":"1.0","source":{"id":"2303.05689","kind":"arxiv","version":2}},"canonical_sha256":"7e6c705cd9a922f1be079a3862c85afb12abce769ccbccefcaa3f2d40b97fe9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e6c705cd9a922f1be079a3862c85afb12abce769ccbccefcaa3f2d40b97fe9d","first_computed_at":"2026-07-05T06:39:33.300586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:33.300586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rfoDEXY9d8iTmASHbn1K37jzn67HNa5dkIFTRkQVenDT4HD9KakqQhTA2MCbLv2JacbegA7Zo+hHDWLQwq3tBA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:33.301004Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.05689","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e02af28ffd44c81a03a8c7708168a3b3f68a3b6c33b3d972b8eebc62ca9f7904","sha256:fea74ea4aff8b04af6753b16a809256aac15a3c0fa8914341aed943d46051d86"],"state_sha256":"082c513c2337348e04f6ef366d442ecf604f8051a424754fdba4ad5c317906a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rDyCb/8B115HWgjQApYx2rdZbaIGv4Mv7jUipraJK6GeDGR34IOrqWAv7i7Ny0uX38pS5+Tak0Z4B4+v811CDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T18:06:48.848410Z","bundle_sha256":"d1ca1f573de2ffe60e233c87fe0db6f83090778747ec1c1d345941554c48ca21"}}