{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:X52U3DKF2WK5WQBYYYE5D3SXHN","short_pith_number":"pith:X52U3DKF","canonical_record":{"source":{"id":"2608.01005","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T05:22:30Z","cross_cats_sorted":["cs.AI","cs.IT","math.IT"],"title_canon_sha256":"4e0d493d359a52945fff90b64ce76beb24acab8312e0bc149c216f77540b5a61","abstract_canon_sha256":"7dca7ec717625dcf34c05235c85bb1eb3664aeb8fe709da2e28696eb0cd7e718"},"schema_version":"1.0"},"canonical_sha256":"bf754d8d45d595db4038c609d1ee573b6ba2b58a4d3033ef3565112e63254b15","source":{"kind":"arxiv","id":"2608.01005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01005","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01005v1","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01005","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"X52U3DKF2WK5","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"X52U3DKF2WK5WQBY","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"X52U3DKF","created_at":"2026-08-04T01:56:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:X52U3DKF2WK5WQBYYYE5D3SXHN","target":"record","payload":{"canonical_record":{"source":{"id":"2608.01005","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T05:22:30Z","cross_cats_sorted":["cs.AI","cs.IT","math.IT"],"title_canon_sha256":"4e0d493d359a52945fff90b64ce76beb24acab8312e0bc149c216f77540b5a61","abstract_canon_sha256":"7dca7ec717625dcf34c05235c85bb1eb3664aeb8fe709da2e28696eb0cd7e718"},"schema_version":"1.0"},"canonical_sha256":"bf754d8d45d595db4038c609d1ee573b6ba2b58a4d3033ef3565112e63254b15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:56:12.032372Z","signature_b64":"XBFmpuiKwusKUKw4U4w952UL8wPV9QVctS1Avu2ckt2e+Ug9lFs6LxmvSTASLcaZGKe3r3S0sutPuDCTa3bXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf754d8d45d595db4038c609d1ee573b6ba2b58a4d3033ef3565112e63254b15","last_reissued_at":"2026-08-04T01:56:12.030801Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:56:12.030801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.01005","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":"2026-08-04T01:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5rH33+ONmoWfhFWUczvRsEqE2zoqFMTE2PzpjVws8EdhW0f1ljNgQ+XIQRse4/aeWgMn69QiD6a0+das0bf/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:34:34.315199Z"},"content_sha256":"9d8f54a8b4331840be5ff420484f14b1f1f3e8a409c78ed73d7c44491e92b030","schema_version":"1.0","event_id":"sha256:9d8f54a8b4331840be5ff420484f14b1f1f3e8a409c78ed73d7c44491e92b030"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:X52U3DKF2WK5WQBYYYE5D3SXHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchical Solomonoff Induction: An Unbounded Machine Learning Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.IT","math.IT"],"primary_cat":"cs.LG","authors_text":"Nathan Young","submitted_at":"2026-08-02T05:22:30Z","abstract_excerpt":"Solomonoff Induction, or SolInd, provides an ideal unbounded model of a priori sequence prediction but cannot naturally describe extrapolation from a given training dataset, as performed by Large Language Models. We apply de Finetti's theorem on exchangeable distributions to SolInd to produce what we call Hierarchical Solomonoff Induction, or HSI, which maintains a hyperprior over all Solomonoff priors that can be conditioned on previously observed sequences.\n  We extend Wood et al.'s proof that universal mixtures of semimeasures are equivalent to SolInd to show that universal mixtures of thes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01005","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/2608.01005/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":"2026-08-04T01:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M9LZz2ILZMv2DL6gdZHUNFaAjwaTqn3XT0muaIFyR4/9frrZVypf1ZHBtUcPEigGp5EYtT+Egl/w7WLsNGKnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:34:34.316133Z"},"content_sha256":"c034fba1b7852146395f27e6886ffdf5ad6966332bcbddc3772e2c8fe89751bc","schema_version":"1.0","event_id":"sha256:c034fba1b7852146395f27e6886ffdf5ad6966332bcbddc3772e2c8fe89751bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/bundle.json","state_url":"https://pith.science/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/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":"2026-08-10T07:34:34Z","links":{"resolver":"https://pith.science/pith/X52U3DKF2WK5WQBYYYE5D3SXHN","bundle":"https://pith.science/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/bundle.json","state":"https://pith.science/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X52U3DKF2WK5WQBYYYE5D3SXHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X52U3DKF2WK5WQBYYYE5D3SXHN","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":"7dca7ec717625dcf34c05235c85bb1eb3664aeb8fe709da2e28696eb0cd7e718","cross_cats_sorted":["cs.AI","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T05:22:30Z","title_canon_sha256":"4e0d493d359a52945fff90b64ce76beb24acab8312e0bc149c216f77540b5a61"},"schema_version":"1.0","source":{"id":"2608.01005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01005","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01005v1","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01005","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"X52U3DKF2WK5","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"X52U3DKF2WK5WQBY","created_at":"2026-08-04T01:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"X52U3DKF","created_at":"2026-08-04T01:56:12Z"}],"graph_snapshots":[{"event_id":"sha256:c034fba1b7852146395f27e6886ffdf5ad6966332bcbddc3772e2c8fe89751bc","target":"graph","created_at":"2026-08-04T01:56:12Z","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/2608.01005/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Solomonoff Induction, or SolInd, provides an ideal unbounded model of a priori sequence prediction but cannot naturally describe extrapolation from a given training dataset, as performed by Large Language Models. We apply de Finetti's theorem on exchangeable distributions to SolInd to produce what we call Hierarchical Solomonoff Induction, or HSI, which maintains a hyperprior over all Solomonoff priors that can be conditioned on previously observed sequences.\n  We extend Wood et al.'s proof that universal mixtures of semimeasures are equivalent to SolInd to show that universal mixtures of thes","authors_text":"Nathan Young","cross_cats":["cs.AI","cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T05:22:30Z","title":"Hierarchical Solomonoff Induction: An Unbounded Machine Learning Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01005","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":"sha256:9d8f54a8b4331840be5ff420484f14b1f1f3e8a409c78ed73d7c44491e92b030","target":"record","created_at":"2026-08-04T01:56:12Z","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":"7dca7ec717625dcf34c05235c85bb1eb3664aeb8fe709da2e28696eb0cd7e718","cross_cats_sorted":["cs.AI","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T05:22:30Z","title_canon_sha256":"4e0d493d359a52945fff90b64ce76beb24acab8312e0bc149c216f77540b5a61"},"schema_version":"1.0","source":{"id":"2608.01005","kind":"arxiv","version":1}},"canonical_sha256":"bf754d8d45d595db4038c609d1ee573b6ba2b58a4d3033ef3565112e63254b15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf754d8d45d595db4038c609d1ee573b6ba2b58a4d3033ef3565112e63254b15","first_computed_at":"2026-08-04T01:56:12.030801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:56:12.030801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XBFmpuiKwusKUKw4U4w952UL8wPV9QVctS1Avu2ckt2e+Ug9lFs6LxmvSTASLcaZGKe3r3S0sutPuDCTa3bXCQ==","signature_status":"signed_v1","signed_at":"2026-08-04T01:56:12.032372Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d8f54a8b4331840be5ff420484f14b1f1f3e8a409c78ed73d7c44491e92b030","sha256:c034fba1b7852146395f27e6886ffdf5ad6966332bcbddc3772e2c8fe89751bc"],"state_sha256":"c455d9de77320e86257665a87cbdef2e103ef4bd512c8764ce7fe35b32073d58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kq+/gru7bT2/cz7AyzBWAW8tvOVsDM6Yaz0aNn/4+QgYMY1vyYsUnS8C4b/Wuh9jeAbTx+Cdtg2bQR2WD8N4Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T07:34:34.327065Z","bundle_sha256":"31f8c5008045425d49baa617a2e53f5752fca7cd5124c1f0e000820fe40a648b"}}