{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:S2B2SBXECVQSBBCCOZBMZJI54L","short_pith_number":"pith:S2B2SBXE","canonical_record":{"source":{"id":"2506.16189","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-06-19T10:12:02Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"6429a52322908ec0dd304528d002815e0dd0e0423a92f2b469792efcd97fbc2c","abstract_canon_sha256":"0dda1af81d3e18ce0ae2cbc6c3e1ac8948bde4d6900e373ee8f1b969c1f02028"},"schema_version":"1.0"},"canonical_sha256":"9683a906e415612084427642cca51de2f819b99b0388972baf74b36b7b86aab5","source":{"kind":"arxiv","id":"2506.16189","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16189","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16189v1","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16189","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"S2B2SBXECVQS","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_16","alias_value":"S2B2SBXECVQSBBCC","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_8","alias_value":"S2B2SBXE","created_at":"2026-07-05T11:24:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:S2B2SBXECVQSBBCCOZBMZJI54L","target":"record","payload":{"canonical_record":{"source":{"id":"2506.16189","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-06-19T10:12:02Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"6429a52322908ec0dd304528d002815e0dd0e0423a92f2b469792efcd97fbc2c","abstract_canon_sha256":"0dda1af81d3e18ce0ae2cbc6c3e1ac8948bde4d6900e373ee8f1b969c1f02028"},"schema_version":"1.0"},"canonical_sha256":"9683a906e415612084427642cca51de2f819b99b0388972baf74b36b7b86aab5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:24:32.405008Z","signature_b64":"+igXjDlaNb0GHqcPRlFhYzXp2EMuFC4Gh3R8o4KQHhtf3DxE/gOdD3kxWMSgTx+by+pCGE5jgwN/szl0wAARCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9683a906e415612084427642cca51de2f819b99b0388972baf74b36b7b86aab5","last_reissued_at":"2026-07-05T11:24:32.404495Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:24:32.404495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.16189","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":"2026-07-05T11:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctjgs93gLxnjgHvbTPyx6oESLOyTHtVP9cPL7MO5U76h1mK6dQ6A75RiWiJkiWO9YiWtJEAYPeVBw3wAGM9hDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:09:42.193760Z"},"content_sha256":"6dda5d1fc55117182fad26ab5c05b883668bbedde7adc4becfeb8f5fae127dba","schema_version":"1.0","event_id":"sha256:6dda5d1fc55117182fad26ab5c05b883668bbedde7adc4becfeb8f5fae127dba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:S2B2SBXECVQSBBCCOZBMZJI54L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CP$^2$: Leveraging Geometry for Conformal Prediction via Canonicalization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"stat.ML","authors_text":"Alexander Timans, Erik J. Bekkers, Putri A. van der Linden","submitted_at":"2025-06-19T10:12:02Z","abstract_excerpt":"We study the problem of conformal prediction (CP) under geometric data shifts, where data samples are susceptible to transformations such as rotations or flips. While CP endows prediction models with post-hoc uncertainty quantification and formal coverage guarantees, their practicality breaks under distribution shifts that deteriorate model performance. To address this issue, we propose integrating geometric information--such as geometric pose--into the conformal procedure to reinstate its guarantees and ensure robustness under geometric shifts. In particular, we explore recent advancements on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16189","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/2506.16189/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":"2026-07-05T11:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y9j0NKo4XZXGT5v73t10LLyDzE7e64QEWAEzSZsu7jG9EC9+9z6W1DKfVbBG2+VGD1GIufZWn4ifwaHNFE3aDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:09:42.194342Z"},"content_sha256":"1a6dad1a5028ed70723b97ea36602b6bb9235770f35c39ae1804d5174e221d7e","schema_version":"1.0","event_id":"sha256:1a6dad1a5028ed70723b97ea36602b6bb9235770f35c39ae1804d5174e221d7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S2B2SBXECVQSBBCCOZBMZJI54L/bundle.json","state_url":"https://pith.science/pith/S2B2SBXECVQSBBCCOZBMZJI54L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S2B2SBXECVQSBBCCOZBMZJI54L/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":"2026-08-09T22:09:42Z","links":{"resolver":"https://pith.science/pith/S2B2SBXECVQSBBCCOZBMZJI54L","bundle":"https://pith.science/pith/S2B2SBXECVQSBBCCOZBMZJI54L/bundle.json","state":"https://pith.science/pith/S2B2SBXECVQSBBCCOZBMZJI54L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S2B2SBXECVQSBBCCOZBMZJI54L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:S2B2SBXECVQSBBCCOZBMZJI54L","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":"0dda1af81d3e18ce0ae2cbc6c3e1ac8948bde4d6900e373ee8f1b969c1f02028","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-06-19T10:12:02Z","title_canon_sha256":"6429a52322908ec0dd304528d002815e0dd0e0423a92f2b469792efcd97fbc2c"},"schema_version":"1.0","source":{"id":"2506.16189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16189","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16189v1","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16189","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"S2B2SBXECVQS","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_16","alias_value":"S2B2SBXECVQSBBCC","created_at":"2026-07-05T11:24:32Z"},{"alias_kind":"pith_short_8","alias_value":"S2B2SBXE","created_at":"2026-07-05T11:24:32Z"}],"graph_snapshots":[{"event_id":"sha256:1a6dad1a5028ed70723b97ea36602b6bb9235770f35c39ae1804d5174e221d7e","target":"graph","created_at":"2026-07-05T11:24:32Z","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/2506.16189/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of conformal prediction (CP) under geometric data shifts, where data samples are susceptible to transformations such as rotations or flips. While CP endows prediction models with post-hoc uncertainty quantification and formal coverage guarantees, their practicality breaks under distribution shifts that deteriorate model performance. To address this issue, we propose integrating geometric information--such as geometric pose--into the conformal procedure to reinstate its guarantees and ensure robustness under geometric shifts. In particular, we explore recent advancements on","authors_text":"Alexander Timans, Erik J. Bekkers, Putri A. van der Linden","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-06-19T10:12:02Z","title":"CP$^2$: Leveraging Geometry for Conformal Prediction via Canonicalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16189","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":"sha256:6dda5d1fc55117182fad26ab5c05b883668bbedde7adc4becfeb8f5fae127dba","target":"record","created_at":"2026-07-05T11:24:32Z","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":"0dda1af81d3e18ce0ae2cbc6c3e1ac8948bde4d6900e373ee8f1b969c1f02028","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-06-19T10:12:02Z","title_canon_sha256":"6429a52322908ec0dd304528d002815e0dd0e0423a92f2b469792efcd97fbc2c"},"schema_version":"1.0","source":{"id":"2506.16189","kind":"arxiv","version":1}},"canonical_sha256":"9683a906e415612084427642cca51de2f819b99b0388972baf74b36b7b86aab5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9683a906e415612084427642cca51de2f819b99b0388972baf74b36b7b86aab5","first_computed_at":"2026-07-05T11:24:32.404495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:32.404495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+igXjDlaNb0GHqcPRlFhYzXp2EMuFC4Gh3R8o4KQHhtf3DxE/gOdD3kxWMSgTx+by+pCGE5jgwN/szl0wAARCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:32.405008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.16189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dda5d1fc55117182fad26ab5c05b883668bbedde7adc4becfeb8f5fae127dba","sha256:1a6dad1a5028ed70723b97ea36602b6bb9235770f35c39ae1804d5174e221d7e"],"state_sha256":"77fb0afb29d36dc5ddb087fb0100dd838a29a7d089a6d19757a6346235401ee2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6rVzqzv6Go3DfWvNH7KBP4xAzmbHdvN83eTu3j7v8Zzwz9cLBttry72/VRCjFNP2CfplPJd6yeZgBbzrTU5vAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:09:42.199378Z","bundle_sha256":"5ad76969f1400229ad60e60a0cee5f32d9621e3903133581eb5214aaed0fdba2"}}