{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5CJBF74DRMUKZL22QFIGBZ72VT","short_pith_number":"pith:5CJBF74D","canonical_record":{"source":{"id":"2607.25273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T04:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"e16e5f8a87db27827a42e3ca65fd45222c16132afe2372b9ef1413ed0c44d4b0","abstract_canon_sha256":"24d292b272a85832bb90ddb1dc0180af731c5e643ebd389e491b4c7413ff9f2d"},"schema_version":"1.0"},"canonical_sha256":"e89212ff838b28acaf5a815060e7faaccf7a7ccd38aa4301813bfbabfcd797c2","source":{"kind":"arxiv","id":"2607.25273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25273","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25273v1","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25273","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"5CJBF74DRMUK","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_16","alias_value":"5CJBF74DRMUKZL22","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_8","alias_value":"5CJBF74D","created_at":"2026-07-29T00:25:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5CJBF74DRMUKZL22QFIGBZ72VT","target":"record","payload":{"canonical_record":{"source":{"id":"2607.25273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T04:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"e16e5f8a87db27827a42e3ca65fd45222c16132afe2372b9ef1413ed0c44d4b0","abstract_canon_sha256":"24d292b272a85832bb90ddb1dc0180af731c5e643ebd389e491b4c7413ff9f2d"},"schema_version":"1.0"},"canonical_sha256":"e89212ff838b28acaf5a815060e7faaccf7a7ccd38aa4301813bfbabfcd797c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:25:12.142354Z","signature_b64":"JM4PN9oTR7fzEZeH4pOx7C2ZrV9frdWYM7IBy6CCJduRirTcPgaUqHetWuyqAkSWQRU4UDAmxJOiRdUj0iIMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89212ff838b28acaf5a815060e7faaccf7a7ccd38aa4301813bfbabfcd797c2","last_reissued_at":"2026-07-29T00:25:12.141479Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:25:12.141479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.25273","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":"2026-07-29T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8RHG2eA1X514/Sxl9BNaou/0osqFSj39jp/mDxHn7K4pMffAkSg/SRn7AcdqvFJEuDI0Zhf5QehtaRkoU2+CAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:02:02.485277Z"},"content_sha256":"bd1a6b0dcdbfd681b4af8ee5d7277f9425626b6b50d4fab0652371b0df827485","schema_version":"1.0","event_id":"sha256:bd1a6b0dcdbfd681b4af8ee5d7277f9425626b6b50d4fab0652371b0df827485"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5CJBF74DRMUKZL22QFIGBZ72VT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"HeAD-CP: Heterophily-Aware Diffused Conformal Prediction Sets for Graph Neural Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Nguyen Thai Anh, Phan Binh Nguyen Lam","submitted_at":"2026-07-28T04:20:34Z","abstract_excerpt":"Conformal prediction (CP) provides distribution-free uncertainty quantification, and its extension to graphs is an active research direction. Diffused Adaptive Prediction Sets (DAPS) is a widely used graph-aware diffusion baseline, propagating Adaptive Prediction Sets (APS) non-conformity scores along edges with a uniform coefficient $\\lambda$. We identify a fundamental shortcoming of this design: the uniform low-pass diffusion presupposes graph homophily and proves detrimental on heterophilic graphs, enlarging the mean prediction-set size by up to 10.6% relative to plain APS. To mitigate this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25273","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/2607.25273/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":"2026-07-29T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/o/0uFOBr5wYjRWaUyakVyxT7D+G1whFubbBILmz3Y1yB/Z9Y9sZ/ZKZgSAsrhrLZafF/Q9jixj1zj/0QO7NBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:02:02.486146Z"},"content_sha256":"1b29a5596ebe3bd329af2d0dce097f87df9cd8edf0ca3180575309911563c29c","schema_version":"1.0","event_id":"sha256:1b29a5596ebe3bd329af2d0dce097f87df9cd8edf0ca3180575309911563c29c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CJBF74DRMUKZL22QFIGBZ72VT/bundle.json","state_url":"https://pith.science/pith/5CJBF74DRMUKZL22QFIGBZ72VT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CJBF74DRMUKZL22QFIGBZ72VT/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":"2026-08-05T03:02:02Z","links":{"resolver":"https://pith.science/pith/5CJBF74DRMUKZL22QFIGBZ72VT","bundle":"https://pith.science/pith/5CJBF74DRMUKZL22QFIGBZ72VT/bundle.json","state":"https://pith.science/pith/5CJBF74DRMUKZL22QFIGBZ72VT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CJBF74DRMUKZL22QFIGBZ72VT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5CJBF74DRMUKZL22QFIGBZ72VT","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":"24d292b272a85832bb90ddb1dc0180af731c5e643ebd389e491b4c7413ff9f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T04:20:34Z","title_canon_sha256":"e16e5f8a87db27827a42e3ca65fd45222c16132afe2372b9ef1413ed0c44d4b0"},"schema_version":"1.0","source":{"id":"2607.25273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25273","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25273v1","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25273","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"5CJBF74DRMUK","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_16","alias_value":"5CJBF74DRMUKZL22","created_at":"2026-07-29T00:25:12Z"},{"alias_kind":"pith_short_8","alias_value":"5CJBF74D","created_at":"2026-07-29T00:25:12Z"}],"graph_snapshots":[{"event_id":"sha256:1b29a5596ebe3bd329af2d0dce097f87df9cd8edf0ca3180575309911563c29c","target":"graph","created_at":"2026-07-29T00:25:12Z","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/2607.25273/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conformal prediction (CP) provides distribution-free uncertainty quantification, and its extension to graphs is an active research direction. Diffused Adaptive Prediction Sets (DAPS) is a widely used graph-aware diffusion baseline, propagating Adaptive Prediction Sets (APS) non-conformity scores along edges with a uniform coefficient $\\lambda$. We identify a fundamental shortcoming of this design: the uniform low-pass diffusion presupposes graph homophily and proves detrimental on heterophilic graphs, enlarging the mean prediction-set size by up to 10.6% relative to plain APS. To mitigate this","authors_text":"Nguyen Thai Anh, Phan Binh Nguyen Lam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T04:20:34Z","title":"HeAD-CP: Heterophily-Aware Diffused Conformal Prediction Sets for Graph Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25273","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:bd1a6b0dcdbfd681b4af8ee5d7277f9425626b6b50d4fab0652371b0df827485","target":"record","created_at":"2026-07-29T00:25:12Z","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":"24d292b272a85832bb90ddb1dc0180af731c5e643ebd389e491b4c7413ff9f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T04:20:34Z","title_canon_sha256":"e16e5f8a87db27827a42e3ca65fd45222c16132afe2372b9ef1413ed0c44d4b0"},"schema_version":"1.0","source":{"id":"2607.25273","kind":"arxiv","version":1}},"canonical_sha256":"e89212ff838b28acaf5a815060e7faaccf7a7ccd38aa4301813bfbabfcd797c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e89212ff838b28acaf5a815060e7faaccf7a7ccd38aa4301813bfbabfcd797c2","first_computed_at":"2026-07-29T00:25:12.141479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T00:25:12.141479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JM4PN9oTR7fzEZeH4pOx7C2ZrV9frdWYM7IBy6CCJduRirTcPgaUqHetWuyqAkSWQRU4UDAmxJOiRdUj0iIMAA==","signature_status":"signed_v1","signed_at":"2026-07-29T00:25:12.142354Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd1a6b0dcdbfd681b4af8ee5d7277f9425626b6b50d4fab0652371b0df827485","sha256:1b29a5596ebe3bd329af2d0dce097f87df9cd8edf0ca3180575309911563c29c"],"state_sha256":"0d3f036b8051c07b51520a385d512d5c8afc65c6ac2f22aa1b02f916327c544c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qqy9S5xr0QMUDnI8NrMoOWEo7Ryq81etjzz/ZemRcOSa5F3H73grq0U2r6wC7t1L8cltEcmar6LdBtU+DOEXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T03:02:02.491749Z","bundle_sha256":"6fb7786b4f85db1befc8d930d227399b1d03001be66a1d15528cd15942f783df"}}