{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5MHT5HKAMDMXGVDJHHHG7QINYG","short_pith_number":"pith:5MHT5HKA","canonical_record":{"source":{"id":"2606.01525","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-01T01:14:00Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"3e4b7815cd23b9451d8991c69cc936daebfb25054ded43ac5b0fa791a8d2b220","abstract_canon_sha256":"63dd68e18ce4ff4678654f417df5c98590a965264d3e58ab216d01391cd5e018"},"schema_version":"1.0"},"canonical_sha256":"eb0f3e9d4060d973546939ce6fc10dc1901061d0831b3ece7cbd051cc64bc78b","source":{"kind":"arxiv","id":"2606.01525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01525","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01525v1","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01525","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"5MHT5HKAMDMX","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_16","alias_value":"5MHT5HKAMDMXGVDJ","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_8","alias_value":"5MHT5HKA","created_at":"2026-06-02T02:04:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5MHT5HKAMDMXGVDJHHHG7QINYG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.01525","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-01T01:14:00Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"3e4b7815cd23b9451d8991c69cc936daebfb25054ded43ac5b0fa791a8d2b220","abstract_canon_sha256":"63dd68e18ce4ff4678654f417df5c98590a965264d3e58ab216d01391cd5e018"},"schema_version":"1.0"},"canonical_sha256":"eb0f3e9d4060d973546939ce6fc10dc1901061d0831b3ece7cbd051cc64bc78b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:35.574399Z","signature_b64":"ceg/66k1RBHK8asYzxssDwTSNTr+inNRyqaB31X7+hbQPtFSE3QRy5ohEKr7Ru6M/bm3ChgEA/GEqEtVLjAzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb0f3e9d4060d973546939ce6fc10dc1901061d0831b3ece7cbd051cc64bc78b","last_reissued_at":"2026-06-02T02:04:35.573995Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:35.573995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.01525","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":"2026-06-02T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zp5c7LjL2AP8pjEcpyOVGaIXFAUOOdTAXMP9WPU27GsBZGfTzzYLFiLE1hLWU+yQPGpSfI8aAlbkzAFE/r0GDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:01:12.310429Z"},"content_sha256":"56037f7ed8c62edd1e25d798896cf5432d1f77a412ad2c60b7e43129d11f629b","schema_version":"1.0","event_id":"sha256:56037f7ed8c62edd1e25d798896cf5432d1f77a412ad2c60b7e43129d11f629b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5MHT5HKAMDMXGVDJHHHG7QINYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-Supervised Hyperbolic Hierarchical Clustering with Set-Level Structural Priors","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Chengliang Song, Junjing Zheng, Weidong Jiang, Xiangfeng Qiu, Xinyu Zhang","submitted_at":"2026-06-01T01:14:00Z","abstract_excerpt":"Semi-supervised hierarchical clustering aims to learn a tree structure consistent with data patterns and user-provided supervision. Supervision is usually given as leaf-level relations, such as pairwise must-link/cannot-link constraints or triplet-wise must-link-before constraints. Although useful for regulating local sample relations, such supervision does not directly indicate which samples should form coherent subtrees. Consequently, the non-leaf structure of the learned tree may deviate from the hierarchical organization preferred by ground-truth labels. To address this limitation, we prop"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01525","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/2606.01525/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":"2026-06-02T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3R0jCx3KKGCPM3y3zFXFsN+HiwlWOPCYeLkT7GrXs5xRuLHtPO/qO4reiSmjC6c/7HM0xIZCQEtRaHC7bq8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:01:12.310808Z"},"content_sha256":"45de40ac568420e1a3dbfff0e663fa24e35e2e5643510b5a851d86194e2d8897","schema_version":"1.0","event_id":"sha256:45de40ac568420e1a3dbfff0e663fa24e35e2e5643510b5a851d86194e2d8897"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/bundle.json","state_url":"https://pith.science/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/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":"2026-08-04T06:01:12Z","links":{"resolver":"https://pith.science/pith/5MHT5HKAMDMXGVDJHHHG7QINYG","bundle":"https://pith.science/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/bundle.json","state":"https://pith.science/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MHT5HKAMDMXGVDJHHHG7QINYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5MHT5HKAMDMXGVDJHHHG7QINYG","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":"63dd68e18ce4ff4678654f417df5c98590a965264d3e58ab216d01391cd5e018","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-01T01:14:00Z","title_canon_sha256":"3e4b7815cd23b9451d8991c69cc936daebfb25054ded43ac5b0fa791a8d2b220"},"schema_version":"1.0","source":{"id":"2606.01525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01525","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01525v1","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01525","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"5MHT5HKAMDMX","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_16","alias_value":"5MHT5HKAMDMXGVDJ","created_at":"2026-06-02T02:04:35Z"},{"alias_kind":"pith_short_8","alias_value":"5MHT5HKA","created_at":"2026-06-02T02:04:35Z"}],"graph_snapshots":[{"event_id":"sha256:45de40ac568420e1a3dbfff0e663fa24e35e2e5643510b5a851d86194e2d8897","target":"graph","created_at":"2026-06-02T02:04:35Z","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/2606.01525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Semi-supervised hierarchical clustering aims to learn a tree structure consistent with data patterns and user-provided supervision. Supervision is usually given as leaf-level relations, such as pairwise must-link/cannot-link constraints or triplet-wise must-link-before constraints. Although useful for regulating local sample relations, such supervision does not directly indicate which samples should form coherent subtrees. Consequently, the non-leaf structure of the learned tree may deviate from the hierarchical organization preferred by ground-truth labels. To address this limitation, we prop","authors_text":"Chengliang Song, Junjing Zheng, Weidong Jiang, Xiangfeng Qiu, Xinyu Zhang","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-01T01:14:00Z","title":"Semi-Supervised Hyperbolic Hierarchical Clustering with Set-Level Structural Priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01525","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":"sha256:56037f7ed8c62edd1e25d798896cf5432d1f77a412ad2c60b7e43129d11f629b","target":"record","created_at":"2026-06-02T02:04:35Z","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":"63dd68e18ce4ff4678654f417df5c98590a965264d3e58ab216d01391cd5e018","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-01T01:14:00Z","title_canon_sha256":"3e4b7815cd23b9451d8991c69cc936daebfb25054ded43ac5b0fa791a8d2b220"},"schema_version":"1.0","source":{"id":"2606.01525","kind":"arxiv","version":1}},"canonical_sha256":"eb0f3e9d4060d973546939ce6fc10dc1901061d0831b3ece7cbd051cc64bc78b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb0f3e9d4060d973546939ce6fc10dc1901061d0831b3ece7cbd051cc64bc78b","first_computed_at":"2026-06-02T02:04:35.573995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:35.573995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ceg/66k1RBHK8asYzxssDwTSNTr+inNRyqaB31X7+hbQPtFSE3QRy5ohEKr7Ru6M/bm3ChgEA/GEqEtVLjAzCw==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:35.574399Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.01525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56037f7ed8c62edd1e25d798896cf5432d1f77a412ad2c60b7e43129d11f629b","sha256:45de40ac568420e1a3dbfff0e663fa24e35e2e5643510b5a851d86194e2d8897"],"state_sha256":"d51fcda05a1fe96f35a3ebdfb15d1c5499be2ec9318f36823b703a0ca8c40afd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsX+hhCO9mezrV6e7bx5xsccCpDFQTK+V4+mfT2gfNxY+JfPlMXIJQoUAWziqsd0j/tG3w/jFlmaf2aTdSlFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T06:01:12.313415Z","bundle_sha256":"263d75aefc1b02c91f5a5323a8b6a8fc7c7fdde0b77e141298dd95465a834d94"}}