{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:ER2JIO264WZMPXSR3T2D3TG3NI","short_pith_number":"pith:ER2JIO26","canonical_record":{"source":{"id":"math/0406077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2004-06-04T09:11:18Z","cross_cats_sorted":["cs.IT","cs.LG","math.IT","stat.TH"],"title_canon_sha256":"006105cee1cf40392523de36308c7c057499a72da4f197b8aad9a44f2b780b70","abstract_canon_sha256":"40a205daf9f8ddb818119d6e3c0059890d7493e92cf94173611b56b54e2a72ed"},"schema_version":"1.0"},"canonical_sha256":"2474943b5ee5b2c7de51dcf43dccdb6a085062d831ece49b01b9f15774eee2e7","source":{"kind":"arxiv","id":"math/0406077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406077","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406077v1","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406077","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_12","alias_value":"ER2JIO264WZM","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_16","alias_value":"ER2JIO264WZMPXSR","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_8","alias_value":"ER2JIO26","created_at":"2026-07-04T15:03:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:ER2JIO264WZMPXSR3T2D3TG3NI","target":"record","payload":{"canonical_record":{"source":{"id":"math/0406077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2004-06-04T09:11:18Z","cross_cats_sorted":["cs.IT","cs.LG","math.IT","stat.TH"],"title_canon_sha256":"006105cee1cf40392523de36308c7c057499a72da4f197b8aad9a44f2b780b70","abstract_canon_sha256":"40a205daf9f8ddb818119d6e3c0059890d7493e92cf94173611b56b54e2a72ed"},"schema_version":"1.0"},"canonical_sha256":"2474943b5ee5b2c7de51dcf43dccdb6a085062d831ece49b01b9f15774eee2e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:03:02.927103Z","signature_b64":"Ssk5cKcapxU6Uf869ANY9JD0Nq/b1OJJiIcJWHXvnwySX2m8in2quvZMbPD0RTK/r7NrZTV0AFE+IdYLT8/aDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2474943b5ee5b2c7de51dcf43dccdb6a085062d831ece49b01b9f15774eee2e7","last_reissued_at":"2026-07-04T15:03:02.926685Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:03:02.926685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0406077","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":"2026-07-04T15:03:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g23/J+uIKuCZlEDq+i2XWc+CMFCV4oL32QqRdqdFS6LRjpGL7EwXwgD62mEgs2w8Xadquu7zIEAmHEBA3fHVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:14:34.237283Z"},"content_sha256":"e1e9bedd0de86af6e6920a8417a5411c6970fc0b2b4023cfb45da35ed005a3d6","schema_version":"1.0","event_id":"sha256:e1e9bedd0de86af6e6920a8417a5411c6970fc0b2b4023cfb45da35ed005a3d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:ER2JIO264WZMPXSR3T2D3TG3NI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A tutorial introduction to the minimum description length principle","license":"","headline":"","cross_cats":["cs.IT","cs.LG","math.IT","stat.TH"],"primary_cat":"math.ST","authors_text":"Peter Grunwald","submitted_at":"2004-06-04T09:11:18Z","abstract_excerpt":"This tutorial provides an overview of and introduction to Rissanen's Minimum Description Length (MDL) Principle. The first chapter provides a conceptual, entirely non-technical introduction to the subject. It serves as a basis for the technical introduction given in the second chapter, in which all the ideas of the first chapter are made mathematically precise. The main ideas are discussed in great conceptual and technical detail. This tutorial is an extended version of the first two chapters of the collection \"Advances in Minimum Description Length: Theory and Application\" (edited by P.Grunwa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406077","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/math/0406077/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":"2026-07-04T15:03:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKnZyKQYvYTFmLrlM11OQuIOhXICi877mAEQ236P0xzNV0wx7a5gZQJeGpB2VgFxtlagXhuqwWAOAaS5q7dtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:14:34.238636Z"},"content_sha256":"9c3bbd8ef8d2d9e6273284f3eff9c7da9c3841d0d706f38dc67fb182951945ec","schema_version":"1.0","event_id":"sha256:9c3bbd8ef8d2d9e6273284f3eff9c7da9c3841d0d706f38dc67fb182951945ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ER2JIO264WZMPXSR3T2D3TG3NI/bundle.json","state_url":"https://pith.science/pith/ER2JIO264WZMPXSR3T2D3TG3NI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ER2JIO264WZMPXSR3T2D3TG3NI/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":"2026-08-05T02:14:34Z","links":{"resolver":"https://pith.science/pith/ER2JIO264WZMPXSR3T2D3TG3NI","bundle":"https://pith.science/pith/ER2JIO264WZMPXSR3T2D3TG3NI/bundle.json","state":"https://pith.science/pith/ER2JIO264WZMPXSR3T2D3TG3NI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ER2JIO264WZMPXSR3T2D3TG3NI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:ER2JIO264WZMPXSR3T2D3TG3NI","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":"40a205daf9f8ddb818119d6e3c0059890d7493e92cf94173611b56b54e2a72ed","cross_cats_sorted":["cs.IT","cs.LG","math.IT","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2004-06-04T09:11:18Z","title_canon_sha256":"006105cee1cf40392523de36308c7c057499a72da4f197b8aad9a44f2b780b70"},"schema_version":"1.0","source":{"id":"math/0406077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406077","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406077v1","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406077","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_12","alias_value":"ER2JIO264WZM","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_16","alias_value":"ER2JIO264WZMPXSR","created_at":"2026-07-04T15:03:02Z"},{"alias_kind":"pith_short_8","alias_value":"ER2JIO26","created_at":"2026-07-04T15:03:02Z"}],"graph_snapshots":[{"event_id":"sha256:9c3bbd8ef8d2d9e6273284f3eff9c7da9c3841d0d706f38dc67fb182951945ec","target":"graph","created_at":"2026-07-04T15:03:02Z","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/math/0406077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This tutorial provides an overview of and introduction to Rissanen's Minimum Description Length (MDL) Principle. The first chapter provides a conceptual, entirely non-technical introduction to the subject. It serves as a basis for the technical introduction given in the second chapter, in which all the ideas of the first chapter are made mathematically precise. The main ideas are discussed in great conceptual and technical detail. This tutorial is an extended version of the first two chapters of the collection \"Advances in Minimum Description Length: Theory and Application\" (edited by P.Grunwa","authors_text":"Peter Grunwald","cross_cats":["cs.IT","cs.LG","math.IT","stat.TH"],"headline":"","license":"","primary_cat":"math.ST","submitted_at":"2004-06-04T09:11:18Z","title":"A tutorial introduction to the minimum description length principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406077","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:e1e9bedd0de86af6e6920a8417a5411c6970fc0b2b4023cfb45da35ed005a3d6","target":"record","created_at":"2026-07-04T15:03:02Z","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":"40a205daf9f8ddb818119d6e3c0059890d7493e92cf94173611b56b54e2a72ed","cross_cats_sorted":["cs.IT","cs.LG","math.IT","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2004-06-04T09:11:18Z","title_canon_sha256":"006105cee1cf40392523de36308c7c057499a72da4f197b8aad9a44f2b780b70"},"schema_version":"1.0","source":{"id":"math/0406077","kind":"arxiv","version":1}},"canonical_sha256":"2474943b5ee5b2c7de51dcf43dccdb6a085062d831ece49b01b9f15774eee2e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2474943b5ee5b2c7de51dcf43dccdb6a085062d831ece49b01b9f15774eee2e7","first_computed_at":"2026-07-04T15:03:02.926685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:03:02.926685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ssk5cKcapxU6Uf869ANY9JD0Nq/b1OJJiIcJWHXvnwySX2m8in2quvZMbPD0RTK/r7NrZTV0AFE+IdYLT8/aDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:03:02.927103Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0406077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1e9bedd0de86af6e6920a8417a5411c6970fc0b2b4023cfb45da35ed005a3d6","sha256:9c3bbd8ef8d2d9e6273284f3eff9c7da9c3841d0d706f38dc67fb182951945ec"],"state_sha256":"4b0c27cd9d3bbe5ef67b0c647fd2f178bf0a40dd00e3bed3cf636bce10b96a1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N3PabUQkzhEKE8h7OsG9E6u+ECBum1a243utMYG4HRiKNoQL1S4pJXcGt75Lq6degVfWOsgvXFtlGts5jA1VDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:14:34.244109Z","bundle_sha256":"5863551bdf9aad690a9485326e3a97b4cc8f54cf32b36e5da08d92c0bc4028b1"}}