{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:HMYYHARCRGNZ7YGDTZIWLXXR57","short_pith_number":"pith:HMYYHARC","canonical_record":{"source":{"id":"cond-mat/9912407","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-22T13:49:40Z","cross_cats_sorted":[],"title_canon_sha256":"aafc063609a7df37d50379bf780f158fbbac7690cb20541d31c030b2f13a2be4","abstract_canon_sha256":"73839eaef97bcf836881510727620efab38fd63517601282dafeea0675f3ee5b"},"schema_version":"1.0"},"canonical_sha256":"3b31838222899b9fe0c39e5165def1eff424ca955cf102d4c65e4997b15de9fe","source":{"kind":"arxiv","id":"cond-mat/9912407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9912407","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9912407v1","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9912407","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"pith_short_12","alias_value":"HMYYHARCRGNZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"HMYYHARCRGNZ7YGD","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"HMYYHARC","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:HMYYHARCRGNZ7YGDTZIWLXXR57","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9912407","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-22T13:49:40Z","cross_cats_sorted":[],"title_canon_sha256":"aafc063609a7df37d50379bf780f158fbbac7690cb20541d31c030b2f13a2be4","abstract_canon_sha256":"73839eaef97bcf836881510727620efab38fd63517601282dafeea0675f3ee5b"},"schema_version":"1.0"},"canonical_sha256":"3b31838222899b9fe0c39e5165def1eff424ca955cf102d4c65e4997b15de9fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:32.022079Z","signature_b64":"rw3yb2FGIHx3/jg9+qFPo2KhD5ieymuaPCk+Uq7oPPf2Sp9NJZ+oYDviG18eYL0bqL5iVuv0CTWzMY48ou/1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b31838222899b9fe0c39e5165def1eff424ca955cf102d4c65e4997b15de9fe","last_reissued_at":"2026-05-18T01:36:32.021451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:32.021451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9912407","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":"2026-05-18T01:36:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXhLGBGl/Tf6vhHY+sO7escsVgCsvvxscBWPcokICBugkJ2qY3C1oAL4tZkhlsqtdNuJ7qP77vGTMd4PUCogBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:27:54.262100Z"},"content_sha256":"87e5954ec75c3081e4cd9ce770e40dd06694cd169ab423eb14bc2ab40f077ab8","schema_version":"1.0","event_id":"sha256:87e5954ec75c3081e4cd9ce770e40dd06694cd169ab423eb14bc2ab40f077ab8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:HMYYHARCRGNZ7YGDTZIWLXXR57","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Paradox in the Langevin Equation with Long-Time Noise Correlations","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"T. Srokowski","submitted_at":"1999-12-22T13:49:40Z","abstract_excerpt":"We solve the generalized Langevin equation driven by a stochastic force with power-law autocorrelation function. A stationary Markov process has been applied as a model of the noise. However, the resulting velocity variance does not stabilizes but diminishes with time. It is shown that algebraic distributions can induce such non-stationary affects. Results are compared to those obtained with a deterministic random force. Consequences for the diffusion process are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912407","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":"2026-05-18T01:36:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+kcavTFz40Z6Ga1NASkd8wwaDBfoA9/OvDUZsm+/pCsGeuLKB671smjwjIPXvEx5xGiSLp7Gd6HnSMkHtMkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:27:54.262441Z"},"content_sha256":"9e91a9ab41aa950146a33fb70d4a6ad4c1aa0cde47bffc683de2ef6cfc86a549","schema_version":"1.0","event_id":"sha256:9e91a9ab41aa950146a33fb70d4a6ad4c1aa0cde47bffc683de2ef6cfc86a549"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/bundle.json","state_url":"https://pith.science/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/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":"2026-06-26T19:27:54Z","links":{"resolver":"https://pith.science/pith/HMYYHARCRGNZ7YGDTZIWLXXR57","bundle":"https://pith.science/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/bundle.json","state":"https://pith.science/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HMYYHARCRGNZ7YGDTZIWLXXR57/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:HMYYHARCRGNZ7YGDTZIWLXXR57","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":"73839eaef97bcf836881510727620efab38fd63517601282dafeea0675f3ee5b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-22T13:49:40Z","title_canon_sha256":"aafc063609a7df37d50379bf780f158fbbac7690cb20541d31c030b2f13a2be4"},"schema_version":"1.0","source":{"id":"cond-mat/9912407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9912407","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9912407v1","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9912407","created_at":"2026-05-18T01:36:32Z"},{"alias_kind":"pith_short_12","alias_value":"HMYYHARCRGNZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"HMYYHARCRGNZ7YGD","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"HMYYHARC","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:9e91a9ab41aa950146a33fb70d4a6ad4c1aa0cde47bffc683de2ef6cfc86a549","target":"graph","created_at":"2026-05-18T01:36:32Z","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":"We solve the generalized Langevin equation driven by a stochastic force with power-law autocorrelation function. A stationary Markov process has been applied as a model of the noise. However, the resulting velocity variance does not stabilizes but diminishes with time. It is shown that algebraic distributions can induce such non-stationary affects. Results are compared to those obtained with a deterministic random force. Consequences for the diffusion process are also discussed.","authors_text":"T. Srokowski","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-22T13:49:40Z","title":"A Paradox in the Langevin Equation with Long-Time Noise Correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912407","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":"sha256:87e5954ec75c3081e4cd9ce770e40dd06694cd169ab423eb14bc2ab40f077ab8","target":"record","created_at":"2026-05-18T01:36:32Z","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":"73839eaef97bcf836881510727620efab38fd63517601282dafeea0675f3ee5b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-22T13:49:40Z","title_canon_sha256":"aafc063609a7df37d50379bf780f158fbbac7690cb20541d31c030b2f13a2be4"},"schema_version":"1.0","source":{"id":"cond-mat/9912407","kind":"arxiv","version":1}},"canonical_sha256":"3b31838222899b9fe0c39e5165def1eff424ca955cf102d4c65e4997b15de9fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b31838222899b9fe0c39e5165def1eff424ca955cf102d4c65e4997b15de9fe","first_computed_at":"2026-05-18T01:36:32.021451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:32.021451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rw3yb2FGIHx3/jg9+qFPo2KhD5ieymuaPCk+Uq7oPPf2Sp9NJZ+oYDviG18eYL0bqL5iVuv0CTWzMY48ou/1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:32.022079Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9912407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87e5954ec75c3081e4cd9ce770e40dd06694cd169ab423eb14bc2ab40f077ab8","sha256:9e91a9ab41aa950146a33fb70d4a6ad4c1aa0cde47bffc683de2ef6cfc86a549"],"state_sha256":"0061e811b00f936c44b2f3f4465fc0f5d9733350a9d6b5f46635dafbfb6521b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dk/ata40AW6GJiJG0SQlXpoTK8ZPx9AzXtTKZVTvEl7xUsr8yqMQjtpUiMAJ3Zc8x5wTfnSWgYmJ7AqDRJERBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T19:27:54.264237Z","bundle_sha256":"cf063df922c8e2acd7900bdd87749a5f8100ba3dcf911987959cac594adf4d7c"}}