{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:MORLUQ7D6I2FV5OUBFIEHSPSYN","short_pith_number":"pith:MORLUQ7D","canonical_record":{"source":{"id":"cond-mat/0307410","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-07-17T09:20:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c61100c0f967a970ccdb9236787fd52f9ee0e3a14fe853672b456660e8fdf52","abstract_canon_sha256":"d06a3c2e7fe23587ea5f55dfc0c7ba4634e7ad14105502a7e22a3af8ae09d8a6"},"schema_version":"1.0"},"canonical_sha256":"63a2ba43e3f2345af5d4095043c9f2c35efd0580bf31a84868083cfe3d2c9ada","source":{"kind":"arxiv","id":"cond-mat/0307410","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0307410","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0307410v1","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0307410","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"MORLUQ7D6I2F","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_16","alias_value":"MORLUQ7D6I2FV5OU","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_8","alias_value":"MORLUQ7D","created_at":"2026-07-04T16:39:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:MORLUQ7D6I2FV5OUBFIEHSPSYN","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0307410","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-07-17T09:20:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c61100c0f967a970ccdb9236787fd52f9ee0e3a14fe853672b456660e8fdf52","abstract_canon_sha256":"d06a3c2e7fe23587ea5f55dfc0c7ba4634e7ad14105502a7e22a3af8ae09d8a6"},"schema_version":"1.0"},"canonical_sha256":"63a2ba43e3f2345af5d4095043c9f2c35efd0580bf31a84868083cfe3d2c9ada","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:39:11.549125Z","signature_b64":"quJP9UjDNKNhe68x4DsWcKI4e0CzmI8dhFCSoxnI4Y9+2iTsXFYj/ErLwYnilzkpJ2eXB2caUE2TumS15heFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63a2ba43e3f2345af5d4095043c9f2c35efd0580bf31a84868083cfe3d2c9ada","last_reissued_at":"2026-07-04T16:39:11.548729Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:39:11.548729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0307410","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":"2026-07-04T16:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lqFJZqmiBCVGNLFR4v/I1VHxYzf6QXkXzDgnP788RzB8nqE/PJeZ2wgb3pd/evgpBr3D0bjrrL+2A86RPw+LAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T16:02:19.962224Z"},"content_sha256":"8de393b4a26432486dffad5ee12065f5cc07bafcbc0c6de60f41524aeda50f31","schema_version":"1.0","event_id":"sha256:8de393b4a26432486dffad5ee12065f5cc07bafcbc0c6de60f41524aeda50f31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:MORLUQ7D6I2FV5OUBFIEHSPSYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the validity of the Boltzmann equation to describe low density granular systems","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Javier Brey, M.J. Ruiz-Montero","submitted_at":"2003-07-17T09:20:23Z","abstract_excerpt":"The departure of a granular gas in the instable region of parameters from the initial homogeneous cooling state is studied. Results from Molecular Dynamics and from Direct Monte Carlo simulation of the Boltzmann equation are compared. It is shown that the Boltzmann equation accurately predicts the low density limit of the system. The relevant role played by the parallelization of the velocities as time proceeds and the dependence of this effect on the density is analyzed in detail."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0307410","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/cond-mat/0307410/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":"2026-07-04T16:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NRvKo1dFwfNb00V8PtEdLAaj6jTwXU+bShmZdhL2kHzUx/BvYAgGEc/R0VwVZAumEm/qoq7Qd7LXL+U8p0avAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T16:02:19.962621Z"},"content_sha256":"ddd39bd7540781e1849dfa456b892de84adb72a1f1e6fa77894cb8a4979725c4","schema_version":"1.0","event_id":"sha256:ddd39bd7540781e1849dfa456b892de84adb72a1f1e6fa77894cb8a4979725c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/bundle.json","state_url":"https://pith.science/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/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":"2026-07-20T16:02:19Z","links":{"resolver":"https://pith.science/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN","bundle":"https://pith.science/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/bundle.json","state":"https://pith.science/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MORLUQ7D6I2FV5OUBFIEHSPSYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:MORLUQ7D6I2FV5OUBFIEHSPSYN","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":"d06a3c2e7fe23587ea5f55dfc0c7ba4634e7ad14105502a7e22a3af8ae09d8a6","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-07-17T09:20:23Z","title_canon_sha256":"2c61100c0f967a970ccdb9236787fd52f9ee0e3a14fe853672b456660e8fdf52"},"schema_version":"1.0","source":{"id":"cond-mat/0307410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0307410","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0307410v1","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0307410","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"MORLUQ7D6I2F","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_16","alias_value":"MORLUQ7D6I2FV5OU","created_at":"2026-07-04T16:39:11Z"},{"alias_kind":"pith_short_8","alias_value":"MORLUQ7D","created_at":"2026-07-04T16:39:11Z"}],"graph_snapshots":[{"event_id":"sha256:ddd39bd7540781e1849dfa456b892de84adb72a1f1e6fa77894cb8a4979725c4","target":"graph","created_at":"2026-07-04T16:39:11Z","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/cond-mat/0307410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The departure of a granular gas in the instable region of parameters from the initial homogeneous cooling state is studied. Results from Molecular Dynamics and from Direct Monte Carlo simulation of the Boltzmann equation are compared. It is shown that the Boltzmann equation accurately predicts the low density limit of the system. The relevant role played by the parallelization of the velocities as time proceeds and the dependence of this effect on the density is analyzed in detail.","authors_text":"J. Javier Brey, M.J. Ruiz-Montero","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-07-17T09:20:23Z","title":"On the validity of the Boltzmann equation to describe low density granular systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0307410","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":"sha256:8de393b4a26432486dffad5ee12065f5cc07bafcbc0c6de60f41524aeda50f31","target":"record","created_at":"2026-07-04T16:39:11Z","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":"d06a3c2e7fe23587ea5f55dfc0c7ba4634e7ad14105502a7e22a3af8ae09d8a6","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-07-17T09:20:23Z","title_canon_sha256":"2c61100c0f967a970ccdb9236787fd52f9ee0e3a14fe853672b456660e8fdf52"},"schema_version":"1.0","source":{"id":"cond-mat/0307410","kind":"arxiv","version":1}},"canonical_sha256":"63a2ba43e3f2345af5d4095043c9f2c35efd0580bf31a84868083cfe3d2c9ada","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63a2ba43e3f2345af5d4095043c9f2c35efd0580bf31a84868083cfe3d2c9ada","first_computed_at":"2026-07-04T16:39:11.548729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:39:11.548729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"quJP9UjDNKNhe68x4DsWcKI4e0CzmI8dhFCSoxnI4Y9+2iTsXFYj/ErLwYnilzkpJ2eXB2caUE2TumS15heFDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:39:11.549125Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0307410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8de393b4a26432486dffad5ee12065f5cc07bafcbc0c6de60f41524aeda50f31","sha256:ddd39bd7540781e1849dfa456b892de84adb72a1f1e6fa77894cb8a4979725c4"],"state_sha256":"e3f4cfcfeb749dfb4576a367cd089f2a6db53e275b683cbc76a533799d93d307"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"haWONHajhjnBgq47SK6sjA9LIJfddS2/JPuLevqiM3UkGKh+vw5SHbpx0cIcx2v0CvVVs5r0noscr30/7sg0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-20T16:02:19.965122Z","bundle_sha256":"60bc0447d48756f2eef103502a4aa2d08358f2c06440ebfd9e3e25ab735005b7"}}