{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:3CZ4IN6XH7X72ZL6HYNLWCOLL7","short_pith_number":"pith:3CZ4IN6X","canonical_record":{"source":{"id":"cond-mat/0302285","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-14T08:05:32Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"c3496e4d949ca440a9a18f7338ed6ad9e15edc43db84a7ce10c3491f90e31795","abstract_canon_sha256":"6dad8e60d763bbb923652675d91475be1f2b9e4a4e1e61fdf0d54f85d1a32a32"},"schema_version":"1.0"},"canonical_sha256":"d8b3c437d73feffd657e3e1abb09cb5fec026ec2277d080464f7119787913f47","source":{"kind":"arxiv","id":"cond-mat/0302285","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0302285","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0302285v2","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0302285","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"pith_short_12","alias_value":"3CZ4IN6XH7X7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"3CZ4IN6XH7X72ZL6","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"3CZ4IN6X","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:3CZ4IN6XH7X72ZL6HYNLWCOLL7","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0302285","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-14T08:05:32Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"c3496e4d949ca440a9a18f7338ed6ad9e15edc43db84a7ce10c3491f90e31795","abstract_canon_sha256":"6dad8e60d763bbb923652675d91475be1f2b9e4a4e1e61fdf0d54f85d1a32a32"},"schema_version":"1.0"},"canonical_sha256":"d8b3c437d73feffd657e3e1abb09cb5fec026ec2277d080464f7119787913f47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:57.983532Z","signature_b64":"Rp2EtOd8vH6of1GWLN7ANoPPt80NBRL+MU4oYwop/f8zwjb8dQSWnjr8MMlpPhAS8sy6ExL95VdiATfCOqeIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8b3c437d73feffd657e3e1abb09cb5fec026ec2277d080464f7119787913f47","last_reissued_at":"2026-05-18T01:06:57.982875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:57.982875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0302285","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QZs2VR+azkf2kc9QFhg2ZiGyUM7pM6pmQdTkwIS77HWU0Lmi/YFqeo4P7Hl8g/1Z/e8Bl+csVwfi9B9n13TAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:35:08.273025Z"},"content_sha256":"406b8fe29d92312774a640f5ae204197770a55a9985da1c83ed5a1d2c470e4c6","schema_version":"1.0","event_id":"sha256:406b8fe29d92312774a640f5ae204197770a55a9985da1c83ed5a1d2c470e4c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:3CZ4IN6XH7X72ZL6HYNLWCOLL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact steady state solution of the Boltzmann equation: A driven 1-D inelastic Maxwell gas","license":"","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Santos, M. H. Ernst","submitted_at":"2003-02-14T08:05:32Z","abstract_excerpt":"The exact nonequilibrium steady state solution of the nonlinear Boltzmann equation for a driven inelastic Maxwell model was obtained by Ben-Naim and Krapivsky [Phys. Rev. E 61, R5 (2000)] in the form of an infinite product for the Fourier transform of the distribution function $f(c)$. In this paper we have inverted the Fourier transform to express $f(c)$ in the form of an infinite series of exponentially decaying terms. The dominant high energy tail is exponential, $f(c)\\simeq A_0\\exp(-a|c|)$, where $a\\equiv 2/\\sqrt{1-\\alpha^2}$ and the amplitude $A_0$ is given in terms of a converging sum. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0302285","kind":"arxiv","version":2},"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":"2026-05-18T01:06:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mxCr9nF8pxwr1OesqSMo0Jgcy1LHqnDIpZvB0HXAhlaJOyg6JiJhre1CsqXFWgh1rK0wwMxegvU08k63HKNLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:35:08.273383Z"},"content_sha256":"7d10bfaee185a9524614bfd006334d9224d48ed96f24ad21c20c9c448f713941","schema_version":"1.0","event_id":"sha256:7d10bfaee185a9524614bfd006334d9224d48ed96f24ad21c20c9c448f713941"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/bundle.json","state_url":"https://pith.science/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/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":"2026-06-01T16:35:08Z","links":{"resolver":"https://pith.science/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7","bundle":"https://pith.science/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/bundle.json","state":"https://pith.science/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CZ4IN6XH7X72ZL6HYNLWCOLL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:3CZ4IN6XH7X72ZL6HYNLWCOLL7","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":"6dad8e60d763bbb923652675d91475be1f2b9e4a4e1e61fdf0d54f85d1a32a32","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-14T08:05:32Z","title_canon_sha256":"c3496e4d949ca440a9a18f7338ed6ad9e15edc43db84a7ce10c3491f90e31795"},"schema_version":"1.0","source":{"id":"cond-mat/0302285","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0302285","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0302285v2","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0302285","created_at":"2026-05-18T01:06:57Z"},{"alias_kind":"pith_short_12","alias_value":"3CZ4IN6XH7X7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"3CZ4IN6XH7X72ZL6","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"3CZ4IN6X","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:7d10bfaee185a9524614bfd006334d9224d48ed96f24ad21c20c9c448f713941","target":"graph","created_at":"2026-05-18T01:06:57Z","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":"The exact nonequilibrium steady state solution of the nonlinear Boltzmann equation for a driven inelastic Maxwell model was obtained by Ben-Naim and Krapivsky [Phys. Rev. E 61, R5 (2000)] in the form of an infinite product for the Fourier transform of the distribution function $f(c)$. In this paper we have inverted the Fourier transform to express $f(c)$ in the form of an infinite series of exponentially decaying terms. The dominant high energy tail is exponential, $f(c)\\simeq A_0\\exp(-a|c|)$, where $a\\equiv 2/\\sqrt{1-\\alpha^2}$ and the amplitude $A_0$ is given in terms of a converging sum. Th","authors_text":"A. Santos, M. H. Ernst","cross_cats":["cond-mat.soft"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-14T08:05:32Z","title":"Exact steady state solution of the Boltzmann equation: A driven 1-D inelastic Maxwell gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0302285","kind":"arxiv","version":2},"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":"sha256:406b8fe29d92312774a640f5ae204197770a55a9985da1c83ed5a1d2c470e4c6","target":"record","created_at":"2026-05-18T01:06:57Z","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":"6dad8e60d763bbb923652675d91475be1f2b9e4a4e1e61fdf0d54f85d1a32a32","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-14T08:05:32Z","title_canon_sha256":"c3496e4d949ca440a9a18f7338ed6ad9e15edc43db84a7ce10c3491f90e31795"},"schema_version":"1.0","source":{"id":"cond-mat/0302285","kind":"arxiv","version":2}},"canonical_sha256":"d8b3c437d73feffd657e3e1abb09cb5fec026ec2277d080464f7119787913f47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8b3c437d73feffd657e3e1abb09cb5fec026ec2277d080464f7119787913f47","first_computed_at":"2026-05-18T01:06:57.982875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:57.982875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rp2EtOd8vH6of1GWLN7ANoPPt80NBRL+MU4oYwop/f8zwjb8dQSWnjr8MMlpPhAS8sy6ExL95VdiATfCOqeIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:57.983532Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0302285","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:406b8fe29d92312774a640f5ae204197770a55a9985da1c83ed5a1d2c470e4c6","sha256:7d10bfaee185a9524614bfd006334d9224d48ed96f24ad21c20c9c448f713941"],"state_sha256":"1971599f85cd748bdba95874a5c63f2c3d3acbb01bc14e6c5a25fe3b7affb890"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ga+RDgntv7Apa8XWTn1qIdCPl4z13yd0FMy0HPULEj1a5hsllP6UH+M2f/B2LWVhkMoVIfIAq5j2b7T70ecBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:35:08.275359Z","bundle_sha256":"18a7433ab618ab71b2d7ebb3b0f98f893df0c1b7a0156d940c8b3ec17c20efdb"}}