{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:OQZPIIU522UDF7MGPJF4LCHZSB","short_pith_number":"pith:OQZPIIU5","canonical_record":{"source":{"id":"0806.0722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-06-04T09:22:40Z","cross_cats_sorted":[],"title_canon_sha256":"26732d1ae2383c24fc797a47289bca8625643cdeb4f23733ae14a4c0983b5426","abstract_canon_sha256":"05aca1dd72e94d5178e81ee304fdd6ab320194959cf0ec287e2d5007d2ac7f5f"},"schema_version":"1.0"},"canonical_sha256":"7432f4229dd6a832fd867a4bc588f99055db3c0233025a9176f1af9dd0ade2d7","source":{"kind":"arxiv","id":"0806.0722","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.0722","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0806.0722v1","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0722","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"OQZPIIU522UD","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OQZPIIU522UDF7MG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OQZPIIU5","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:OQZPIIU522UDF7MGPJF4LCHZSB","target":"record","payload":{"canonical_record":{"source":{"id":"0806.0722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-06-04T09:22:40Z","cross_cats_sorted":[],"title_canon_sha256":"26732d1ae2383c24fc797a47289bca8625643cdeb4f23733ae14a4c0983b5426","abstract_canon_sha256":"05aca1dd72e94d5178e81ee304fdd6ab320194959cf0ec287e2d5007d2ac7f5f"},"schema_version":"1.0"},"canonical_sha256":"7432f4229dd6a832fd867a4bc588f99055db3c0233025a9176f1af9dd0ade2d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:01.530582Z","signature_b64":"xG1X6NtbfXyqDJZo61ca0OahQPOxZcGB+JF2+Ay8w6WXaARdn2v0PmbV93KbsRCzezzW863MaLYnjSXUC162Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7432f4229dd6a832fd867a4bc588f99055db3c0233025a9176f1af9dd0ade2d7","last_reissued_at":"2026-05-18T04:34:01.530110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:01.530110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.0722","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":"2026-05-18T04:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PeVPE2jq+xPKemj2KfU/nixJpkhRXZfJTlZiqpCvSxgTpt6/d+fLngH0AtfDmd+egnyVYMKTPva6xxYu/8RpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:00:46.946871Z"},"content_sha256":"14f7bb6e1b932801b1d9c86cf4f2ee4bc5841a399bf992f1fa9718abe0085a4e","schema_version":"1.0","event_id":"sha256:14f7bb6e1b932801b1d9c86cf4f2ee4bc5841a399bf992f1fa9718abe0085a4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:OQZPIIU522UDF7MGPJF4LCHZSB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling long-range memory with stationary Markovian processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Salvatore Miccich\\`e","submitted_at":"2008-06-04T09:22:40Z","abstract_excerpt":"In this paper we give explicit examples of power-law correlated stationary Markovian processes y(t) where the stationary pdf shows tails which are gaussian or exponential. These processes are obtained by simply performing a coordinate transformation of a specific power-law correlated additive process x(t), already known in the literature, whose pdf shows power-law tails 1/x^a. We give analytical and numerical evidence that although the new processes (i) are Markovian and (ii) have gaussian or exponential tails their autocorrelation function still shows a power-law decay <y(t) y(t+T)>=1/T^b whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0722","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":"2026-05-18T04:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VPvdJ85UhbrHVFI+oa+u6LNzJu+B0PxSJvJhceMwsEsyf+NgReAWRVXGi43GyXtyBysruMMSzYsuC/C7YW+VDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:00:46.947630Z"},"content_sha256":"54df40cd33d840a8b413557a9fe092771029f1133a5d8c9afda0110ec259a473","schema_version":"1.0","event_id":"sha256:54df40cd33d840a8b413557a9fe092771029f1133a5d8c9afda0110ec259a473"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OQZPIIU522UDF7MGPJF4LCHZSB/bundle.json","state_url":"https://pith.science/pith/OQZPIIU522UDF7MGPJF4LCHZSB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OQZPIIU522UDF7MGPJF4LCHZSB/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":"2026-06-11T20:00:46Z","links":{"resolver":"https://pith.science/pith/OQZPIIU522UDF7MGPJF4LCHZSB","bundle":"https://pith.science/pith/OQZPIIU522UDF7MGPJF4LCHZSB/bundle.json","state":"https://pith.science/pith/OQZPIIU522UDF7MGPJF4LCHZSB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OQZPIIU522UDF7MGPJF4LCHZSB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OQZPIIU522UDF7MGPJF4LCHZSB","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":"05aca1dd72e94d5178e81ee304fdd6ab320194959cf0ec287e2d5007d2ac7f5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-06-04T09:22:40Z","title_canon_sha256":"26732d1ae2383c24fc797a47289bca8625643cdeb4f23733ae14a4c0983b5426"},"schema_version":"1.0","source":{"id":"0806.0722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.0722","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0806.0722v1","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0722","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"OQZPIIU522UD","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OQZPIIU522UDF7MG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OQZPIIU5","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:54df40cd33d840a8b413557a9fe092771029f1133a5d8c9afda0110ec259a473","target":"graph","created_at":"2026-05-18T04:34:01Z","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":"In this paper we give explicit examples of power-law correlated stationary Markovian processes y(t) where the stationary pdf shows tails which are gaussian or exponential. These processes are obtained by simply performing a coordinate transformation of a specific power-law correlated additive process x(t), already known in the literature, whose pdf shows power-law tails 1/x^a. We give analytical and numerical evidence that although the new processes (i) are Markovian and (ii) have gaussian or exponential tails their autocorrelation function still shows a power-law decay <y(t) y(t+T)>=1/T^b whe","authors_text":"Salvatore Miccich\\`e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-06-04T09:22:40Z","title":"Modeling long-range memory with stationary Markovian processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0722","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":"sha256:14f7bb6e1b932801b1d9c86cf4f2ee4bc5841a399bf992f1fa9718abe0085a4e","target":"record","created_at":"2026-05-18T04:34:01Z","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":"05aca1dd72e94d5178e81ee304fdd6ab320194959cf0ec287e2d5007d2ac7f5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-06-04T09:22:40Z","title_canon_sha256":"26732d1ae2383c24fc797a47289bca8625643cdeb4f23733ae14a4c0983b5426"},"schema_version":"1.0","source":{"id":"0806.0722","kind":"arxiv","version":1}},"canonical_sha256":"7432f4229dd6a832fd867a4bc588f99055db3c0233025a9176f1af9dd0ade2d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7432f4229dd6a832fd867a4bc588f99055db3c0233025a9176f1af9dd0ade2d7","first_computed_at":"2026-05-18T04:34:01.530110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:01.530110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xG1X6NtbfXyqDJZo61ca0OahQPOxZcGB+JF2+Ay8w6WXaARdn2v0PmbV93KbsRCzezzW863MaLYnjSXUC162Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:01.530582Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.0722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14f7bb6e1b932801b1d9c86cf4f2ee4bc5841a399bf992f1fa9718abe0085a4e","sha256:54df40cd33d840a8b413557a9fe092771029f1133a5d8c9afda0110ec259a473"],"state_sha256":"263958a46cc0312dd2254ab77dc59591d8947d18cb094351979f73d2e2272865"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HNHOyZNWzZ/PQ7Ox0fWc2MpVWscDaEy6ZSoqRzkMQbU7O6zB9hMAhaFdv4AzuQ0oE/ld3pdukJ/1kYVTu4PeCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:00:46.952136Z","bundle_sha256":"7c2889b980708c86c64b57a0fc9be1535a295f0f00bce814297c0746752bd158"}}