{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZKDPENBXTD5IBJW6K2MDQLJJFD","short_pith_number":"pith:ZKDPENBX","canonical_record":{"source":{"id":"1203.5951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-27T12:26:16Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f7c4a747e2068dca6105265e15ea71e7906505015a48ad3bd95cce48a624cfe7","abstract_canon_sha256":"12000fad9f4afb56c089e84621af347c3121fe77abe3d5ffe21e5005f9118298"},"schema_version":"1.0"},"canonical_sha256":"ca86f2343798fa80a6de5698382d2928c963f3c369c94a07fbc1832883e3583a","source":{"kind":"arxiv","id":"1203.5951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5951","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5951v1","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5951","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"ZKDPENBXTD5I","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZKDPENBXTD5IBJW6","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZKDPENBX","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZKDPENBXTD5IBJW6K2MDQLJJFD","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-27T12:26:16Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f7c4a747e2068dca6105265e15ea71e7906505015a48ad3bd95cce48a624cfe7","abstract_canon_sha256":"12000fad9f4afb56c089e84621af347c3121fe77abe3d5ffe21e5005f9118298"},"schema_version":"1.0"},"canonical_sha256":"ca86f2343798fa80a6de5698382d2928c963f3c369c94a07fbc1832883e3583a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:12.932660Z","signature_b64":"Jf2LuVp4hInEfCqeMr3YoQHWURYsRThaejTbkQ2J70c2x6JlHhWY5PCVA12a5lXfTQ13qNS+VAjX5yJOw7lMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca86f2343798fa80a6de5698382d2928c963f3c369c94a07fbc1832883e3583a","last_reissued_at":"2026-05-18T03:59:12.931907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:12.931907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5951","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":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/bJLYr7i291JCW1H16i+e1MKYOwNO/WjbvHcrMx45D9GHzj/7vo0yVfzaO2PMjjNo3/sj8HH5Mb1w3vhaQFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:50:27.032693Z"},"content_sha256":"9da4799f5edd730fab5bff8429f1882f37a2c1cb0d8d4de7d9a6636f5c0480f1","schema_version":"1.0","event_id":"sha256:9da4799f5edd730fab5bff8429f1882f37a2c1cb0d8d4de7d9a6636f5c0480f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZKDPENBXTD5IBJW6K2MDQLJJFD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass fluctuations and diffusion in time-dependent random environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Giorgio Krstulovic, Jeremie Bec, Rehab Bitane","submitted_at":"2012-03-27T12:26:16Z","abstract_excerpt":"A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large times with a displacement distribution that approaches a Gaussian. The collective dynamics of diffusing particles reaches a statistically stationary state, which is characterized in terms of a fluctuating mass density field. The probability distribution of density is studied numerically for both smooth and non-smooth scale-invariant random environments. A compe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5951","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":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qXoXgzrxTAae5ZZMq3RBOplAV+A3nxsq9TLZ/yWVLWPNQ+RxJ5SJRZdjo4N1oEfB+WUD8NNIj7n8sb9chigcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:50:27.033360Z"},"content_sha256":"09e65a2ab5d146bcaa85e92d4ab66429de699136fe1962511521cdad6c638859","schema_version":"1.0","event_id":"sha256:09e65a2ab5d146bcaa85e92d4ab66429de699136fe1962511521cdad6c638859"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/bundle.json","state_url":"https://pith.science/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/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":"2026-05-26T11:50:27Z","links":{"resolver":"https://pith.science/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD","bundle":"https://pith.science/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/bundle.json","state":"https://pith.science/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZKDPENBXTD5IBJW6K2MDQLJJFD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZKDPENBXTD5IBJW6K2MDQLJJFD","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":"12000fad9f4afb56c089e84621af347c3121fe77abe3d5ffe21e5005f9118298","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-27T12:26:16Z","title_canon_sha256":"f7c4a747e2068dca6105265e15ea71e7906505015a48ad3bd95cce48a624cfe7"},"schema_version":"1.0","source":{"id":"1203.5951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5951","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5951v1","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5951","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"ZKDPENBXTD5I","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZKDPENBXTD5IBJW6","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZKDPENBX","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:09e65a2ab5d146bcaa85e92d4ab66429de699136fe1962511521cdad6c638859","target":"graph","created_at":"2026-05-18T03:59:12Z","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":"A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large times with a displacement distribution that approaches a Gaussian. The collective dynamics of diffusing particles reaches a statistically stationary state, which is characterized in terms of a fluctuating mass density field. The probability distribution of density is studied numerically for both smooth and non-smooth scale-invariant random environments. A compe","authors_text":"Giorgio Krstulovic, Jeremie Bec, Rehab Bitane","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-27T12:26:16Z","title":"Mass fluctuations and diffusion in time-dependent random environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5951","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":"sha256:9da4799f5edd730fab5bff8429f1882f37a2c1cb0d8d4de7d9a6636f5c0480f1","target":"record","created_at":"2026-05-18T03:59:12Z","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":"12000fad9f4afb56c089e84621af347c3121fe77abe3d5ffe21e5005f9118298","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-27T12:26:16Z","title_canon_sha256":"f7c4a747e2068dca6105265e15ea71e7906505015a48ad3bd95cce48a624cfe7"},"schema_version":"1.0","source":{"id":"1203.5951","kind":"arxiv","version":1}},"canonical_sha256":"ca86f2343798fa80a6de5698382d2928c963f3c369c94a07fbc1832883e3583a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca86f2343798fa80a6de5698382d2928c963f3c369c94a07fbc1832883e3583a","first_computed_at":"2026-05-18T03:59:12.931907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:12.931907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jf2LuVp4hInEfCqeMr3YoQHWURYsRThaejTbkQ2J70c2x6JlHhWY5PCVA12a5lXfTQ13qNS+VAjX5yJOw7lMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:12.932660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9da4799f5edd730fab5bff8429f1882f37a2c1cb0d8d4de7d9a6636f5c0480f1","sha256:09e65a2ab5d146bcaa85e92d4ab66429de699136fe1962511521cdad6c638859"],"state_sha256":"0f85e492571be98357d96f835be24aba7c7c1c6f680898c4bae8d64124660f20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSHLIUYOrMLDhbWLQvOuUq9hIZcQRxZYL1b5Sd8abE+VtHD3Wk8cqqEMwMcJxEAnQWPuJXX1U32NcUmEUOOFBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:50:27.036831Z","bundle_sha256":"406305f84c51992aa9c09648764f5ad4759dc58a80c224004d7837a2d61e2b00"}}