{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7VUHQBIQ7CUOFSYKUYUQB4B4QZ","short_pith_number":"pith:7VUHQBIQ","canonical_record":{"source":{"id":"2606.26418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-24T22:20:13Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"af0a7971081812370a720b9695eaab2bdd2e4f41dd1f0bcbe63581250db73673","abstract_canon_sha256":"40302f7be9aeecaf983658cb59a77dc8c535dc6a618a3fe8c8b19f20d5b83a43"},"schema_version":"1.0"},"canonical_sha256":"fd68780510f8a8e2cb0aa62900f03c8674aeddabb56a8b661ddbe707295b1948","source":{"kind":"arxiv","id":"2606.26418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26418","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26418v1","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26418","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_12","alias_value":"7VUHQBIQ7CUO","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_16","alias_value":"7VUHQBIQ7CUOFSYK","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_8","alias_value":"7VUHQBIQ","created_at":"2026-06-26T00:15:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7VUHQBIQ7CUOFSYKUYUQB4B4QZ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.26418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-24T22:20:13Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"af0a7971081812370a720b9695eaab2bdd2e4f41dd1f0bcbe63581250db73673","abstract_canon_sha256":"40302f7be9aeecaf983658cb59a77dc8c535dc6a618a3fe8c8b19f20d5b83a43"},"schema_version":"1.0"},"canonical_sha256":"fd68780510f8a8e2cb0aa62900f03c8674aeddabb56a8b661ddbe707295b1948","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:40.383902Z","signature_b64":"7AGx90nFGzzRLm+avnPdC+EXrFBqsgj0nuaEBcT6ADmG9b7obNJoNC4viGPLLulQWSyznfoo5oZgCE7upLijCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd68780510f8a8e2cb0aa62900f03c8674aeddabb56a8b661ddbe707295b1948","last_reissued_at":"2026-06-26T00:15:40.383519Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:40.383519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.26418","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":"2026-06-26T00:15:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0g0QlDx09EY6co7Norb5PkVwY3fzJNn+Ji9/DCodGam2Kfbn9FqKFBfXjXSVP6MGMaK14Get/oVIsR/JqwvICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:03:37.399177Z"},"content_sha256":"5ad142ffb2675d7d6c40224c5b80b84a7acca456670b710797838cad2866201b","schema_version":"1.0","event_id":"sha256:5ad142ffb2675d7d6c40224c5b80b84a7acca456670b710797838cad2866201b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7VUHQBIQ7CUOFSYKUYUQB4B4QZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unbiased Canonical Set-Valued Oracles Via Lattice Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.AI","authors_text":"Jobst Heitzig","submitted_at":"2026-06-24T22:20:13Z","abstract_excerpt":"A non-agentic \"oracle\" AI that estimates probabilities of future events faces a self-reference problem: once its answer is learned and acted upon, it can change the very probability it was asked to report. One response, advocated for the Scientist AI programme, is to ask only counterfactual questions, evaluated as if the answer had no influence. We observe that such answers tend to become irrelevant the moment they are learned, precisely because their premise is then false. We therefore explore a self-referential alternative in which the oracle reports not a single probability but a credal set"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26418","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/2606.26418/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":"2026-06-26T00:15:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBSZo8vIVN9x9JDEejhuLug9fA8Iik5sFOO9w+Vlqw4iY02Ce1NRwCEIeHfkfPX13307R8+NuVGyd3EfWIeNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:03:37.399569Z"},"content_sha256":"59f680fd40bed63dac2d0d0c3370aad92108c7b6f8be36aa3e9bcef391cddab7","schema_version":"1.0","event_id":"sha256:59f680fd40bed63dac2d0d0c3370aad92108c7b6f8be36aa3e9bcef391cddab7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/bundle.json","state_url":"https://pith.science/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/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":"2026-07-02T01:03:37Z","links":{"resolver":"https://pith.science/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ","bundle":"https://pith.science/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/bundle.json","state":"https://pith.science/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VUHQBIQ7CUOFSYKUYUQB4B4QZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7VUHQBIQ7CUOFSYKUYUQB4B4QZ","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":"40302f7be9aeecaf983658cb59a77dc8c535dc6a618a3fe8c8b19f20d5b83a43","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-24T22:20:13Z","title_canon_sha256":"af0a7971081812370a720b9695eaab2bdd2e4f41dd1f0bcbe63581250db73673"},"schema_version":"1.0","source":{"id":"2606.26418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26418","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26418v1","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26418","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_12","alias_value":"7VUHQBIQ7CUO","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_16","alias_value":"7VUHQBIQ7CUOFSYK","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_8","alias_value":"7VUHQBIQ","created_at":"2026-06-26T00:15:40Z"}],"graph_snapshots":[{"event_id":"sha256:59f680fd40bed63dac2d0d0c3370aad92108c7b6f8be36aa3e9bcef391cddab7","target":"graph","created_at":"2026-06-26T00:15:40Z","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/2606.26418/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A non-agentic \"oracle\" AI that estimates probabilities of future events faces a self-reference problem: once its answer is learned and acted upon, it can change the very probability it was asked to report. One response, advocated for the Scientist AI programme, is to ask only counterfactual questions, evaluated as if the answer had no influence. We observe that such answers tend to become irrelevant the moment they are learned, precisely because their premise is then false. We therefore explore a self-referential alternative in which the oracle reports not a single probability but a credal set","authors_text":"Jobst Heitzig","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-24T22:20:13Z","title":"Unbiased Canonical Set-Valued Oracles Via Lattice Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26418","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":"sha256:5ad142ffb2675d7d6c40224c5b80b84a7acca456670b710797838cad2866201b","target":"record","created_at":"2026-06-26T00:15:40Z","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":"40302f7be9aeecaf983658cb59a77dc8c535dc6a618a3fe8c8b19f20d5b83a43","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-24T22:20:13Z","title_canon_sha256":"af0a7971081812370a720b9695eaab2bdd2e4f41dd1f0bcbe63581250db73673"},"schema_version":"1.0","source":{"id":"2606.26418","kind":"arxiv","version":1}},"canonical_sha256":"fd68780510f8a8e2cb0aa62900f03c8674aeddabb56a8b661ddbe707295b1948","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd68780510f8a8e2cb0aa62900f03c8674aeddabb56a8b661ddbe707295b1948","first_computed_at":"2026-06-26T00:15:40.383519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:40.383519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7AGx90nFGzzRLm+avnPdC+EXrFBqsgj0nuaEBcT6ADmG9b7obNJoNC4viGPLLulQWSyznfoo5oZgCE7upLijCw==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:40.383902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ad142ffb2675d7d6c40224c5b80b84a7acca456670b710797838cad2866201b","sha256:59f680fd40bed63dac2d0d0c3370aad92108c7b6f8be36aa3e9bcef391cddab7"],"state_sha256":"84441d132f282baba0e1ade610b1d935beb2e3f009d865095ef7074d4ebbf04b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgDouksVEi2Q2PilyxEw/8Zjt/afxvnKKg/AIDyjkr5qZUHtgQtn1LpDy9Wd2rxbz6M7Km8CtZyF9pYDUG78BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T01:03:37.401526Z","bundle_sha256":"9407d24f4e428c5a15d2eed12a2ae9f586b6992366f137a98ca1d4df9dc23276"}}