{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:D5G3EE2F3EAFP3EQJP3MFED4JS","short_pith_number":"pith:D5G3EE2F","canonical_record":{"source":{"id":"1106.0524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-02T22:03:24Z","cross_cats_sorted":[],"title_canon_sha256":"2e34e1d811d881709fb98e4045c89adc328f701cb2abcacbd95c0ab360811196","abstract_canon_sha256":"1afbe4e4628b4931f3abec73fb76ec6d9604d182b9d00f3744b6d6e835357771"},"schema_version":"1.0"},"canonical_sha256":"1f4db21345d90057ec904bf6c2907c4c9b4087813b1d1dca3880e8f3f12c4608","source":{"kind":"arxiv","id":"1106.0524","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0524","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0524v2","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0524","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"D5G3EE2F3EAF","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D5G3EE2F3EAFP3EQ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D5G3EE2F","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:D5G3EE2F3EAFP3EQJP3MFED4JS","target":"record","payload":{"canonical_record":{"source":{"id":"1106.0524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-02T22:03:24Z","cross_cats_sorted":[],"title_canon_sha256":"2e34e1d811d881709fb98e4045c89adc328f701cb2abcacbd95c0ab360811196","abstract_canon_sha256":"1afbe4e4628b4931f3abec73fb76ec6d9604d182b9d00f3744b6d6e835357771"},"schema_version":"1.0"},"canonical_sha256":"1f4db21345d90057ec904bf6c2907c4c9b4087813b1d1dca3880e8f3f12c4608","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:34.240531Z","signature_b64":"LN7mGTPr3ObyIm7SS1k6yxyF8bqsJa1CCOG/8CqAlv1KAPfnAXwJ7aXhGrh5Mk3NJkQ9zgCzu7G/tWdgrZLOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f4db21345d90057ec904bf6c2907c4c9b4087813b1d1dca3880e8f3f12c4608","last_reissued_at":"2026-05-18T01:33:34.239874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:34.239874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.0524","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":"2026-05-18T01:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nhF5eM7IZ9/LJIjvjojlX8f53I0EkkjXcon9auBBclmSUJdrn5oVAZtRJVrbq0upEhQM1IPfHMUnhca3aMIACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:39:03.185998Z"},"content_sha256":"c765e30a77e2d3d44d92554a06d2c9782f8c23c9e79c48074b94ce77e7348cea","schema_version":"1.0","event_id":"sha256:c765e30a77e2d3d44d92554a06d2c9782f8c23c9e79c48074b94ce77e7348cea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:D5G3EE2F3EAFP3EQJP3MFED4JS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy Production in Relativistic Binary Mixtures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. L. Garcia-Perciante, L. S. Garcia-Colin, Valdemar Moratto","submitted_at":"2011-06-02T22:03:24Z","abstract_excerpt":"In this paper we calculate the entropy production of a relativistic binary mixture of inert dilute gases using kinetic theory. For this purpose we use the covariant form of Boltzmann's equation which, when suitably transformed, yields a formal expression for such quantity. Its physical meaning is extracted when the distribution function is expanded in the gradients using the well-known Chapman-Enskog method. Retaining the terms to first order, consistently with Linear Irreversible Thermodynamics we show that indeed, the entropy production can be expressed as a bilinear form of products between"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0524","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":"2026-05-18T01:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rDEBEMRvxKILm2aamSqR4hIowOxKu5jDt5Lb0wGPj/PrAaeUBvH+yPr1ekScRB0FahVPCCWHPPhOPraiqlnMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:39:03.186354Z"},"content_sha256":"01e7ed7a7e869a04c5e5f8b57bd5f9adbc2266ab870bb96cdf8725fb88191a77","schema_version":"1.0","event_id":"sha256:01e7ed7a7e869a04c5e5f8b57bd5f9adbc2266ab870bb96cdf8725fb88191a77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/bundle.json","state_url":"https://pith.science/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/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":"2026-06-24T22:39:03Z","links":{"resolver":"https://pith.science/pith/D5G3EE2F3EAFP3EQJP3MFED4JS","bundle":"https://pith.science/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/bundle.json","state":"https://pith.science/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5G3EE2F3EAFP3EQJP3MFED4JS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:D5G3EE2F3EAFP3EQJP3MFED4JS","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":"1afbe4e4628b4931f3abec73fb76ec6d9604d182b9d00f3744b6d6e835357771","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-02T22:03:24Z","title_canon_sha256":"2e34e1d811d881709fb98e4045c89adc328f701cb2abcacbd95c0ab360811196"},"schema_version":"1.0","source":{"id":"1106.0524","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0524","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0524v2","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0524","created_at":"2026-05-18T01:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"D5G3EE2F3EAF","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D5G3EE2F3EAFP3EQ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D5G3EE2F","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:01e7ed7a7e869a04c5e5f8b57bd5f9adbc2266ab870bb96cdf8725fb88191a77","target":"graph","created_at":"2026-05-18T01:33:34Z","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 calculate the entropy production of a relativistic binary mixture of inert dilute gases using kinetic theory. For this purpose we use the covariant form of Boltzmann's equation which, when suitably transformed, yields a formal expression for such quantity. Its physical meaning is extracted when the distribution function is expanded in the gradients using the well-known Chapman-Enskog method. Retaining the terms to first order, consistently with Linear Irreversible Thermodynamics we show that indeed, the entropy production can be expressed as a bilinear form of products between","authors_text":"A. L. Garcia-Perciante, L. S. Garcia-Colin, Valdemar Moratto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-02T22:03:24Z","title":"Entropy Production in Relativistic Binary Mixtures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0524","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:c765e30a77e2d3d44d92554a06d2c9782f8c23c9e79c48074b94ce77e7348cea","target":"record","created_at":"2026-05-18T01:33:34Z","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":"1afbe4e4628b4931f3abec73fb76ec6d9604d182b9d00f3744b6d6e835357771","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-02T22:03:24Z","title_canon_sha256":"2e34e1d811d881709fb98e4045c89adc328f701cb2abcacbd95c0ab360811196"},"schema_version":"1.0","source":{"id":"1106.0524","kind":"arxiv","version":2}},"canonical_sha256":"1f4db21345d90057ec904bf6c2907c4c9b4087813b1d1dca3880e8f3f12c4608","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f4db21345d90057ec904bf6c2907c4c9b4087813b1d1dca3880e8f3f12c4608","first_computed_at":"2026-05-18T01:33:34.239874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:34.239874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LN7mGTPr3ObyIm7SS1k6yxyF8bqsJa1CCOG/8CqAlv1KAPfnAXwJ7aXhGrh5Mk3NJkQ9zgCzu7G/tWdgrZLOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:34.240531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.0524","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c765e30a77e2d3d44d92554a06d2c9782f8c23c9e79c48074b94ce77e7348cea","sha256:01e7ed7a7e869a04c5e5f8b57bd5f9adbc2266ab870bb96cdf8725fb88191a77"],"state_sha256":"3d42d87b629eeff18be5f275879ce4c41f2cac292f8abf685cf13e1a67f2fb1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9kk+ZKiU9TxsqmDBW/gAKEroO3XRSZQPmBg94Ef+on84Trs91so/rlSNslUOtI3aALJQCA0vU7DmS7tySnYNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:39:03.188301Z","bundle_sha256":"be730ecdcb98892c469d701f0c6838d7af0dc6a0fad2c58189d3c1c45bbf2d5d"}}