{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:C353ASXWWGKVQOXDBIS2TSULCL","short_pith_number":"pith:C353ASXW","canonical_record":{"source":{"id":"1010.2067","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-11T11:31:09Z","cross_cats_sorted":["cs.IT","math.IT","math.MP","quant-ph"],"title_canon_sha256":"04fb0f0c100b0348ffb09b478ceaf8542c54b6d7c66357856124ca13c158664c","abstract_canon_sha256":"ff788ecf5e780e20ce3b83508872b2345842f56f05dc3889d3b4e9b005acf4c5"},"schema_version":"1.0"},"canonical_sha256":"16fbb04af6b195583ae30a25a9ca8b12fe882bfddeab9ebc64c47dbd20aee5ed","source":{"kind":"arxiv","id":"1010.2067","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2067","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2067v2","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2067","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"C353ASXWWGKV","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C353ASXWWGKVQOXD","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C353ASXW","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:C353ASXWWGKVQOXDBIS2TSULCL","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2067","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-11T11:31:09Z","cross_cats_sorted":["cs.IT","math.IT","math.MP","quant-ph"],"title_canon_sha256":"04fb0f0c100b0348ffb09b478ceaf8542c54b6d7c66357856124ca13c158664c","abstract_canon_sha256":"ff788ecf5e780e20ce3b83508872b2345842f56f05dc3889d3b4e9b005acf4c5"},"schema_version":"1.0"},"canonical_sha256":"16fbb04af6b195583ae30a25a9ca8b12fe882bfddeab9ebc64c47dbd20aee5ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:32.055014Z","signature_b64":"D1fnkUyFtIy803VPmLwEBfIgcmUAQ6yoRvgNkbUiWSgp7qy6irq8uZ+P8YMPfpinavlqeflmwbJJe8UsrUfJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16fbb04af6b195583ae30a25a9ca8b12fe882bfddeab9ebc64c47dbd20aee5ed","last_reissued_at":"2026-05-18T03:32:32.054144Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:32.054144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2067","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8CkLGkBQRnioAkJSL445omsPF/3W7eNbiV/7OsDKg5brUUU3f7gw4pXky0V30dmFOIclJfe3FxHSEUrgPZSwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:50:35.818257Z"},"content_sha256":"d7d2af30f05f6b373fb3ef37172f01e4634a2f0ff7f544917d16ae7b314c5412","schema_version":"1.0","event_id":"sha256:d7d2af30f05f6b373fb3ef37172f01e4634a2f0ff7f544917d16ae7b314c5412"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:C353ASXWWGKVQOXDBIS2TSULCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algorithmic Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"John C. Baez, Mike Stay","submitted_at":"2010-10-11T11:31:09Z","abstract_excerpt":"Algorithmic entropy can be seen as a special case of entropy as studied in statistical mechanics. This viewpoint allows us to apply many techniques developed for use in thermodynamics to the subject of algorithmic information theory. In particular, suppose we fix a universal prefix-free Turing machine and let X be the set of programs that halt for this machine. Then we can regard X as a set of 'microstates', and treat any function on X as an 'observable'. For any collection of observables, we can study the Gibbs ensemble that maximizes entropy subject to constraints on expected values of these"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2067","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4g19gAGybZE2gtIrbI7JHgtGut7aPIXJm9rTKQupoNY1eg7XIqXS1wAQBqP3ZZHMfOv/V1znOiepvFp5ajsTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:50:35.818616Z"},"content_sha256":"c275fca0f5d427bc6d91ea005ca195b55d3b7c21d43f506a2f28ecc5883c7580","schema_version":"1.0","event_id":"sha256:c275fca0f5d427bc6d91ea005ca195b55d3b7c21d43f506a2f28ecc5883c7580"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C353ASXWWGKVQOXDBIS2TSULCL/bundle.json","state_url":"https://pith.science/pith/C353ASXWWGKVQOXDBIS2TSULCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C353ASXWWGKVQOXDBIS2TSULCL/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":"2026-06-20T03:50:35Z","links":{"resolver":"https://pith.science/pith/C353ASXWWGKVQOXDBIS2TSULCL","bundle":"https://pith.science/pith/C353ASXWWGKVQOXDBIS2TSULCL/bundle.json","state":"https://pith.science/pith/C353ASXWWGKVQOXDBIS2TSULCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C353ASXWWGKVQOXDBIS2TSULCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:C353ASXWWGKVQOXDBIS2TSULCL","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":"ff788ecf5e780e20ce3b83508872b2345842f56f05dc3889d3b4e9b005acf4c5","cross_cats_sorted":["cs.IT","math.IT","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-11T11:31:09Z","title_canon_sha256":"04fb0f0c100b0348ffb09b478ceaf8542c54b6d7c66357856124ca13c158664c"},"schema_version":"1.0","source":{"id":"1010.2067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2067","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2067v2","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2067","created_at":"2026-05-18T03:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"C353ASXWWGKV","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C353ASXWWGKVQOXD","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C353ASXW","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:c275fca0f5d427bc6d91ea005ca195b55d3b7c21d43f506a2f28ecc5883c7580","target":"graph","created_at":"2026-05-18T03:32:32Z","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"},"paper":{"abstract_excerpt":"Algorithmic entropy can be seen as a special case of entropy as studied in statistical mechanics. This viewpoint allows us to apply many techniques developed for use in thermodynamics to the subject of algorithmic information theory. In particular, suppose we fix a universal prefix-free Turing machine and let X be the set of programs that halt for this machine. Then we can regard X as a set of 'microstates', and treat any function on X as an 'observable'. For any collection of observables, we can study the Gibbs ensemble that maximizes entropy subject to constraints on expected values of these","authors_text":"John C. Baez, Mike Stay","cross_cats":["cs.IT","math.IT","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-11T11:31:09Z","title":"Algorithmic Thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2067","kind":"arxiv","version":2},"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:d7d2af30f05f6b373fb3ef37172f01e4634a2f0ff7f544917d16ae7b314c5412","target":"record","created_at":"2026-05-18T03:32:32Z","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":"ff788ecf5e780e20ce3b83508872b2345842f56f05dc3889d3b4e9b005acf4c5","cross_cats_sorted":["cs.IT","math.IT","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-11T11:31:09Z","title_canon_sha256":"04fb0f0c100b0348ffb09b478ceaf8542c54b6d7c66357856124ca13c158664c"},"schema_version":"1.0","source":{"id":"1010.2067","kind":"arxiv","version":2}},"canonical_sha256":"16fbb04af6b195583ae30a25a9ca8b12fe882bfddeab9ebc64c47dbd20aee5ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16fbb04af6b195583ae30a25a9ca8b12fe882bfddeab9ebc64c47dbd20aee5ed","first_computed_at":"2026-05-18T03:32:32.054144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:32.054144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D1fnkUyFtIy803VPmLwEBfIgcmUAQ6yoRvgNkbUiWSgp7qy6irq8uZ+P8YMPfpinavlqeflmwbJJe8UsrUfJDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:32.055014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7d2af30f05f6b373fb3ef37172f01e4634a2f0ff7f544917d16ae7b314c5412","sha256:c275fca0f5d427bc6d91ea005ca195b55d3b7c21d43f506a2f28ecc5883c7580"],"state_sha256":"2f7edf414dbb67a32780696768f4dcd3ab82e4626e4cd8efd7633993b67813d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3YNKZ15ps0QaTwTyrjxHoGuczqjgNzMz9qxhRZfH4jHGuew5rplF6aNm8ByFA1XvOc6Gv1E2Mjqv1zEFsW7Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:50:35.820475Z","bundle_sha256":"0c49ad881c4659a2a9875074c5c87fef4a2131e4109d69e8229de5d98e73a2f6"}}