{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:L7M6CLW7ZCXX6EDEU3U2C3J2OQ","short_pith_number":"pith:L7M6CLW7","canonical_record":{"source":{"id":"2410.03052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-10-04T00:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"bafcabdedd22616e5635b6524953ee403de7901c81cadbd126a106b55cf6d1bc","abstract_canon_sha256":"5835c847a915974810b3b84582c1ce622be3c536a5fe4dccdcd81d08b81e3f66"},"schema_version":"1.0"},"canonical_sha256":"5fd9e12edfc8af7f1064a6e9a16d3a7409cd33f35d8d646a0af810e2e458ed18","source":{"kind":"arxiv","id":"2410.03052","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.03052","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"2410.03052v2","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.03052","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"L7M6CLW7ZCXX","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_16","alias_value":"L7M6CLW7ZCXX6EDE","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_8","alias_value":"L7M6CLW7","created_at":"2026-07-05T10:51:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:L7M6CLW7ZCXX6EDEU3U2C3J2OQ","target":"record","payload":{"canonical_record":{"source":{"id":"2410.03052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-10-04T00:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"bafcabdedd22616e5635b6524953ee403de7901c81cadbd126a106b55cf6d1bc","abstract_canon_sha256":"5835c847a915974810b3b84582c1ce622be3c536a5fe4dccdcd81d08b81e3f66"},"schema_version":"1.0"},"canonical_sha256":"5fd9e12edfc8af7f1064a6e9a16d3a7409cd33f35d8d646a0af810e2e458ed18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:25.861735Z","signature_b64":"Lp1rzNrhISMsR/E+OStX2LAyDKHjPp1C1joahc1xzoMHyRm+FkZAnv3mjOlvWBmCnkayR+l+UI5lC61atkwyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fd9e12edfc8af7f1064a6e9a16d3a7409cd33f35d8d646a0af810e2e458ed18","last_reissued_at":"2026-07-05T10:51:25.861280Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:25.861280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.03052","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":"2026-07-05T10:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5++hpfF6GVCccgp3CvtzN0Se9PhZInPK6enAXlX7XSh3/jAgRNHyfDdDv0iZwNpOLUo75aCwy1DkhnTsvaQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:13:34.917550Z"},"content_sha256":"4ab86040ba1b258b6f7a3a8c7be215d21a895d7f614d6bb604280cfa2fdd1ce9","schema_version":"1.0","event_id":"sha256:4ab86040ba1b258b6f7a3a8c7be215d21a895d7f614d6bb604280cfa2fdd1ce9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:L7M6CLW7ZCXX6EDEU3U2C3J2OQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning Structured Representations by Embedding Class Hierarchy with Fast Optimal Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Han Zhao, Makoto Yamada, Siqi Zeng, Sixian Du","submitted_at":"2024-10-04T00:20:34Z","abstract_excerpt":"To embed structured knowledge within labels into feature representations, prior work [Zeng et al., 2022] proposed to use the Cophenetic Correlation Coefficient (CPCC) as a regularizer during supervised learning. This regularizer calculates pairwise Euclidean distances of class means and aligns them with the corresponding shortest path distances derived from the label hierarchy tree. However, class means may not be good representatives of the class conditional distributions, especially when they are multi-mode in nature. To address this limitation, under the CPCC framework, we propose to use th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.03052","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/2410.03052/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":"2026-07-05T10:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0YlWNxzvxVsPLL/gfeQjjrRnSJYFJ+IcSbxPTEpYvEDloIoUqQsditNF1Sj0hgzUfrA512vZDohH6R8Nnj6cCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:13:34.918408Z"},"content_sha256":"dd2ab66dd23ccd43b43e535cedee576c989908406f92805187d4306422aa05be","schema_version":"1.0","event_id":"sha256:dd2ab66dd23ccd43b43e535cedee576c989908406f92805187d4306422aa05be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/bundle.json","state_url":"https://pith.science/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/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":"2026-08-09T23:13:34Z","links":{"resolver":"https://pith.science/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ","bundle":"https://pith.science/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/bundle.json","state":"https://pith.science/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7M6CLW7ZCXX6EDEU3U2C3J2OQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L7M6CLW7ZCXX6EDEU3U2C3J2OQ","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":"5835c847a915974810b3b84582c1ce622be3c536a5fe4dccdcd81d08b81e3f66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-10-04T00:20:34Z","title_canon_sha256":"bafcabdedd22616e5635b6524953ee403de7901c81cadbd126a106b55cf6d1bc"},"schema_version":"1.0","source":{"id":"2410.03052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.03052","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"2410.03052v2","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.03052","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"L7M6CLW7ZCXX","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_16","alias_value":"L7M6CLW7ZCXX6EDE","created_at":"2026-07-05T10:51:25Z"},{"alias_kind":"pith_short_8","alias_value":"L7M6CLW7","created_at":"2026-07-05T10:51:25Z"}],"graph_snapshots":[{"event_id":"sha256:dd2ab66dd23ccd43b43e535cedee576c989908406f92805187d4306422aa05be","target":"graph","created_at":"2026-07-05T10:51:25Z","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/2410.03052/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To embed structured knowledge within labels into feature representations, prior work [Zeng et al., 2022] proposed to use the Cophenetic Correlation Coefficient (CPCC) as a regularizer during supervised learning. This regularizer calculates pairwise Euclidean distances of class means and aligns them with the corresponding shortest path distances derived from the label hierarchy tree. However, class means may not be good representatives of the class conditional distributions, especially when they are multi-mode in nature. To address this limitation, under the CPCC framework, we propose to use th","authors_text":"Han Zhao, Makoto Yamada, Siqi Zeng, Sixian Du","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-10-04T00:20:34Z","title":"Learning Structured Representations by Embedding Class Hierarchy with Fast Optimal Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.03052","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":"sha256:4ab86040ba1b258b6f7a3a8c7be215d21a895d7f614d6bb604280cfa2fdd1ce9","target":"record","created_at":"2026-07-05T10:51:25Z","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":"5835c847a915974810b3b84582c1ce622be3c536a5fe4dccdcd81d08b81e3f66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-10-04T00:20:34Z","title_canon_sha256":"bafcabdedd22616e5635b6524953ee403de7901c81cadbd126a106b55cf6d1bc"},"schema_version":"1.0","source":{"id":"2410.03052","kind":"arxiv","version":2}},"canonical_sha256":"5fd9e12edfc8af7f1064a6e9a16d3a7409cd33f35d8d646a0af810e2e458ed18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fd9e12edfc8af7f1064a6e9a16d3a7409cd33f35d8d646a0af810e2e458ed18","first_computed_at":"2026-07-05T10:51:25.861280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:25.861280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lp1rzNrhISMsR/E+OStX2LAyDKHjPp1C1joahc1xzoMHyRm+FkZAnv3mjOlvWBmCnkayR+l+UI5lC61atkwyCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:25.861735Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.03052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ab86040ba1b258b6f7a3a8c7be215d21a895d7f614d6bb604280cfa2fdd1ce9","sha256:dd2ab66dd23ccd43b43e535cedee576c989908406f92805187d4306422aa05be"],"state_sha256":"f3967e7e67ca74a69c878c29216a82fd79059ca0072c926292d9e8a05a1bad68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8CDYFo97QIs3jfqM9yvvLX1MP+tWR8YfUIfKxwXEaWXWgZiWEfW7jZ1HDrIgnHV5nktVdJKgACI2OI9efOPeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:13:34.924509Z","bundle_sha256":"2fb601b72890408c0eadbe6c2256161edf70a6530bbf56d29f26267d0a5b335f"}}