{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:REJG5FYRH6T2FU3A2Q4SMJME4M","short_pith_number":"pith:REJG5FYR","canonical_record":{"source":{"id":"1609.03543","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-12T19:30:56Z","cross_cats_sorted":["cs.LO","math.LO","math.PR"],"title_canon_sha256":"928023ff8b9770fedc577c3f9395eaa87034c77f5d737f8925e443fe98f63807","abstract_canon_sha256":"b2b3d9b99ac64683ea4d8db037dc5a0bf71d8fff50277b06acacd67f58ca4ee5"},"schema_version":"1.0"},"canonical_sha256":"89126e97113fa7a2d360d439262584e33dc00c83a9924fb49619eef43c8289a7","source":{"kind":"arxiv","id":"1609.03543","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03543","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03543v5","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03543","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_12","alias_value":"REJG5FYRH6T2","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_16","alias_value":"REJG5FYRH6T2FU3A","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_8","alias_value":"REJG5FYR","created_at":"2026-07-05T01:57:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:REJG5FYRH6T2FU3A2Q4SMJME4M","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03543","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-12T19:30:56Z","cross_cats_sorted":["cs.LO","math.LO","math.PR"],"title_canon_sha256":"928023ff8b9770fedc577c3f9395eaa87034c77f5d737f8925e443fe98f63807","abstract_canon_sha256":"b2b3d9b99ac64683ea4d8db037dc5a0bf71d8fff50277b06acacd67f58ca4ee5"},"schema_version":"1.0"},"canonical_sha256":"89126e97113fa7a2d360d439262584e33dc00c83a9924fb49619eef43c8289a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:57:35.630387Z","signature_b64":"SUxLkGjZlH7fgss7XQn9Br6uV8k2c4ScMGiLorSeeQwvVJIz8JYbfrKPPtpSp4JgUoiOG3SlGs32IIzpbo7YCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89126e97113fa7a2d360d439262584e33dc00c83a9924fb49619eef43c8289a7","last_reissued_at":"2026-07-05T01:57:35.629850Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:57:35.629850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03543","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:57:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"js9owOi//GPA7XzrjtQOCs/4eL6OefpGLC+rjqCjlsiD5TK9FYH4z0ocYUqNFdpN4lD6DAbEZAoiIBkuCQtQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:17:52.809018Z"},"content_sha256":"301674cc7cbfd08fc8ead157de169064ea6b56154a02cca706c9e022231c4a51","schema_version":"1.0","event_id":"sha256:301674cc7cbfd08fc8ead157de169064ea6b56154a02cca706c9e022231c4a51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:REJG5FYRH6T2FU3A2Q4SMJME4M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logical Induction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO","math.LO","math.PR"],"primary_cat":"cs.AI","authors_text":"Andrew Critch, Jessica Taylor, Nate Soares, Scott Garrabrant, Tsvi Benson-Tilsen","submitted_at":"2016-09-12T19:30:56Z","abstract_excerpt":"We present a computable algorithm that assigns probabilities to every logical statement in a given formal language, and refines those probabilities over time. For instance, if the language is Peano arithmetic, it assigns probabilities to all arithmetical statements, including claims about the twin prime conjecture, the outputs of long-running computations, and its own probabilities. We show that our algorithm, an instance of what we call a logical inductor, satisfies a number of intuitive desiderata, including: (1) it learns to predict patterns of truth and falsehood in logical statements, oft"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03543","kind":"arxiv","version":5},"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/1609.03543/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":"2026-07-05T01:57:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/wYeEMHtVz/QL4nRLdW+iJcOcH0EisPr6aW5/zX2hVHTzSk+7MQRLzfVVaatPKO0VwNkVDxoX8QF0+ZsZBICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:17:52.809518Z"},"content_sha256":"67840fd92de0d05275041cacaaa116e67c8ad2ddae205a2e2be2e0b0fa5979dc","schema_version":"1.0","event_id":"sha256:67840fd92de0d05275041cacaaa116e67c8ad2ddae205a2e2be2e0b0fa5979dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/bundle.json","state_url":"https://pith.science/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/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":"2026-08-09T02:17:52Z","links":{"resolver":"https://pith.science/pith/REJG5FYRH6T2FU3A2Q4SMJME4M","bundle":"https://pith.science/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/bundle.json","state":"https://pith.science/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/REJG5FYRH6T2FU3A2Q4SMJME4M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:REJG5FYRH6T2FU3A2Q4SMJME4M","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":"b2b3d9b99ac64683ea4d8db037dc5a0bf71d8fff50277b06acacd67f58ca4ee5","cross_cats_sorted":["cs.LO","math.LO","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-12T19:30:56Z","title_canon_sha256":"928023ff8b9770fedc577c3f9395eaa87034c77f5d737f8925e443fe98f63807"},"schema_version":"1.0","source":{"id":"1609.03543","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03543","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03543v5","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03543","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_12","alias_value":"REJG5FYRH6T2","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_16","alias_value":"REJG5FYRH6T2FU3A","created_at":"2026-07-05T01:57:35Z"},{"alias_kind":"pith_short_8","alias_value":"REJG5FYR","created_at":"2026-07-05T01:57:35Z"}],"graph_snapshots":[{"event_id":"sha256:67840fd92de0d05275041cacaaa116e67c8ad2ddae205a2e2be2e0b0fa5979dc","target":"graph","created_at":"2026-07-05T01:57:35Z","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/1609.03543/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a computable algorithm that assigns probabilities to every logical statement in a given formal language, and refines those probabilities over time. For instance, if the language is Peano arithmetic, it assigns probabilities to all arithmetical statements, including claims about the twin prime conjecture, the outputs of long-running computations, and its own probabilities. We show that our algorithm, an instance of what we call a logical inductor, satisfies a number of intuitive desiderata, including: (1) it learns to predict patterns of truth and falsehood in logical statements, oft","authors_text":"Andrew Critch, Jessica Taylor, Nate Soares, Scott Garrabrant, Tsvi Benson-Tilsen","cross_cats":["cs.LO","math.LO","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-12T19:30:56Z","title":"Logical Induction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03543","kind":"arxiv","version":5},"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":"sha256:301674cc7cbfd08fc8ead157de169064ea6b56154a02cca706c9e022231c4a51","target":"record","created_at":"2026-07-05T01:57:35Z","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":"b2b3d9b99ac64683ea4d8db037dc5a0bf71d8fff50277b06acacd67f58ca4ee5","cross_cats_sorted":["cs.LO","math.LO","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-09-12T19:30:56Z","title_canon_sha256":"928023ff8b9770fedc577c3f9395eaa87034c77f5d737f8925e443fe98f63807"},"schema_version":"1.0","source":{"id":"1609.03543","kind":"arxiv","version":5}},"canonical_sha256":"89126e97113fa7a2d360d439262584e33dc00c83a9924fb49619eef43c8289a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89126e97113fa7a2d360d439262584e33dc00c83a9924fb49619eef43c8289a7","first_computed_at":"2026-07-05T01:57:35.629850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:57:35.629850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUxLkGjZlH7fgss7XQn9Br6uV8k2c4ScMGiLorSeeQwvVJIz8JYbfrKPPtpSp4JgUoiOG3SlGs32IIzpbo7YCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:57:35.630387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03543","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:301674cc7cbfd08fc8ead157de169064ea6b56154a02cca706c9e022231c4a51","sha256:67840fd92de0d05275041cacaaa116e67c8ad2ddae205a2e2be2e0b0fa5979dc"],"state_sha256":"b6b293042049defff40a307b9700205e5f3c8c6452b63169393260aee88f1dac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IcwtKD1dPbeEsL5YIAXR5pEV4avuRC1zRGRxXlV0g8Ipv3euaPSw+FKehsPSd8QnJPSneHF2rJ2a5LEZgY7DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:17:52.814158Z","bundle_sha256":"3a4dba9508298c2caaaeb7004bd54b4c6098256832a52535ba3bdce1da379c64"}}