{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:TCYIDKNCXMJVRVUUBCZWAXK4ID","short_pith_number":"pith:TCYIDKNC","canonical_record":{"source":{"id":"0712.2430","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2007-12-14T19:08:07Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"0118facd08d75f0f2698e649d639b8c1cbed8e4cd5d99292e4de21119f4b491e","abstract_canon_sha256":"717b881db9ec17a677c46da01356eb476bf67b62e80dd88f74345c15713fc88d"},"schema_version":"1.0"},"canonical_sha256":"98b081a9a2bb1358d69408b3605d5c40fc193cade51c316e374f1a235afac57b","source":{"kind":"arxiv","id":"0712.2430","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.2430","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"arxiv_version","alias_value":"0712.2430v1","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.2430","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"pith_short_12","alias_value":"TCYIDKNCXMJV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"TCYIDKNCXMJVRVUU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"TCYIDKNC","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:TCYIDKNCXMJVRVUUBCZWAXK4ID","target":"record","payload":{"canonical_record":{"source":{"id":"0712.2430","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2007-12-14T19:08:07Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"0118facd08d75f0f2698e649d639b8c1cbed8e4cd5d99292e4de21119f4b491e","abstract_canon_sha256":"717b881db9ec17a677c46da01356eb476bf67b62e80dd88f74345c15713fc88d"},"schema_version":"1.0"},"canonical_sha256":"98b081a9a2bb1358d69408b3605d5c40fc193cade51c316e374f1a235afac57b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:25.852349Z","signature_b64":"/zUYoZl4PXiezqIPOGJihtnhvb7yul7Hw3XEsXq2hayCToalRZUM4bgmoZHEyncP3WMqEw0NNvNgq2J1PhPoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b081a9a2bb1358d69408b3605d5c40fc193cade51c316e374f1a235afac57b","last_reissued_at":"2026-05-18T00:58:25.851662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:25.851662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.2430","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":"2026-05-18T00:58:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jylJSZl8NVi80Nri6csAUJvi6imr1GZdvoIlCIBLROu37gQbZU/Ur9xDlGGoj4ILjlQVUSnI2rVJntHfD5LSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:26:51.702069Z"},"content_sha256":"6231496d4b575af981767b1fa6e17cffb4e1b93c663e0598f5f21137f99c3b15","schema_version":"1.0","event_id":"sha256:6231496d4b575af981767b1fa6e17cffb4e1b93c663e0598f5f21137f99c3b15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:TCYIDKNCXMJVRVUUBCZWAXK4ID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limits to consistent on-line forecasting for ergodic time series","license":"","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.PR","authors_text":"G. Morvai, L. Gyorfi, S. Yakowitz","submitted_at":"2007-12-14T19:08:07Z","abstract_excerpt":"This study concerns problems of time-series forecasting under the weakest of assumptions. Related results are surveyed and are points of departure for the developments here, some of which are new and others are new derivations of previous findings. The contributions in this study are all negative, showing that various plausible prediction problems are unsolvable, or in other cases, are not solvable by predictors which are known to be consistent when mixing conditions hold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2430","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":""},"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":"2026-05-18T00:58:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vmg4DwBNNuDHb06sMaLf7QaYxgzcPzRhQSNPzivuO4XFUN1d+6C4qkNVNIv5zMkr5YvyZTykiG8uAxZXIL3+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T12:26:51.702427Z"},"content_sha256":"bafcc8f6979e30b67217a13fbf258d96892f379b71899e3ac8e2de388c3ec9fc","schema_version":"1.0","event_id":"sha256:bafcc8f6979e30b67217a13fbf258d96892f379b71899e3ac8e2de388c3ec9fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/bundle.json","state_url":"https://pith.science/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/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":"2026-06-25T12:26:51Z","links":{"resolver":"https://pith.science/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID","bundle":"https://pith.science/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/bundle.json","state":"https://pith.science/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCYIDKNCXMJVRVUUBCZWAXK4ID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:TCYIDKNCXMJVRVUUBCZWAXK4ID","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":"717b881db9ec17a677c46da01356eb476bf67b62e80dd88f74345c15713fc88d","cross_cats_sorted":["cs.IT","math.IT"],"license":"","primary_cat":"math.PR","submitted_at":"2007-12-14T19:08:07Z","title_canon_sha256":"0118facd08d75f0f2698e649d639b8c1cbed8e4cd5d99292e4de21119f4b491e"},"schema_version":"1.0","source":{"id":"0712.2430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.2430","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"arxiv_version","alias_value":"0712.2430v1","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.2430","created_at":"2026-05-18T00:58:25Z"},{"alias_kind":"pith_short_12","alias_value":"TCYIDKNCXMJV","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"TCYIDKNCXMJVRVUU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"TCYIDKNC","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:bafcc8f6979e30b67217a13fbf258d96892f379b71899e3ac8e2de388c3ec9fc","target":"graph","created_at":"2026-05-18T00:58:25Z","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":"This study concerns problems of time-series forecasting under the weakest of assumptions. Related results are surveyed and are points of departure for the developments here, some of which are new and others are new derivations of previous findings. The contributions in this study are all negative, showing that various plausible prediction problems are unsolvable, or in other cases, are not solvable by predictors which are known to be consistent when mixing conditions hold.","authors_text":"G. Morvai, L. Gyorfi, S. Yakowitz","cross_cats":["cs.IT","math.IT"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2007-12-14T19:08:07Z","title":"Limits to consistent on-line forecasting for ergodic time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2430","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":"sha256:6231496d4b575af981767b1fa6e17cffb4e1b93c663e0598f5f21137f99c3b15","target":"record","created_at":"2026-05-18T00:58:25Z","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":"717b881db9ec17a677c46da01356eb476bf67b62e80dd88f74345c15713fc88d","cross_cats_sorted":["cs.IT","math.IT"],"license":"","primary_cat":"math.PR","submitted_at":"2007-12-14T19:08:07Z","title_canon_sha256":"0118facd08d75f0f2698e649d639b8c1cbed8e4cd5d99292e4de21119f4b491e"},"schema_version":"1.0","source":{"id":"0712.2430","kind":"arxiv","version":1}},"canonical_sha256":"98b081a9a2bb1358d69408b3605d5c40fc193cade51c316e374f1a235afac57b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98b081a9a2bb1358d69408b3605d5c40fc193cade51c316e374f1a235afac57b","first_computed_at":"2026-05-18T00:58:25.851662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:25.851662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/zUYoZl4PXiezqIPOGJihtnhvb7yul7Hw3XEsXq2hayCToalRZUM4bgmoZHEyncP3WMqEw0NNvNgq2J1PhPoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:25.852349Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.2430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6231496d4b575af981767b1fa6e17cffb4e1b93c663e0598f5f21137f99c3b15","sha256:bafcc8f6979e30b67217a13fbf258d96892f379b71899e3ac8e2de388c3ec9fc"],"state_sha256":"818c1d2f7ee036ca310c00b33d102550298bcc1de8d1ee64463eb92b857b863a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t+8i7XHkx92nd8Wsi8nbblji3m4Sd9bjUsnON2LQ4JPdDz/n5DyyrHKD/NOCH+F529u277iVbpYVVmOPS0e5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T12:26:51.704332Z","bundle_sha256":"bb95b750b076914eb217efc0ada2c06dcbf639bd1f30a4788267f03e39abaccd"}}