{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:WSTBS6APZ32RWNDW3TMBNUISI6","short_pith_number":"pith:WSTBS6AP","canonical_record":{"source":{"id":"0910.1625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-08T22:14:04Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"d1a0d199c4e64502fc54fa69d731298a15ae14a909b458ec08483fa4f61ef986","abstract_canon_sha256":"f5513d5bd343289a17039eb1e3965e278b05f2684be484a0eeb0186f32133b51"},"schema_version":"1.0"},"canonical_sha256":"b4a619780fcef51b3476dcd816d11247906df0775f7e66340892ee152372d19a","source":{"kind":"arxiv","id":"0910.1625","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1625","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1625v1","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1625","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"pith_short_12","alias_value":"WSTBS6APZ32R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WSTBS6APZ32RWNDW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WSTBS6AP","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:WSTBS6APZ32RWNDW3TMBNUISI6","target":"record","payload":{"canonical_record":{"source":{"id":"0910.1625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-08T22:14:04Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"d1a0d199c4e64502fc54fa69d731298a15ae14a909b458ec08483fa4f61ef986","abstract_canon_sha256":"f5513d5bd343289a17039eb1e3965e278b05f2684be484a0eeb0186f32133b51"},"schema_version":"1.0"},"canonical_sha256":"b4a619780fcef51b3476dcd816d11247906df0775f7e66340892ee152372d19a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:25.328776Z","signature_b64":"PyfDoD+MCbnoeRqm7KIgCBlZuGFE84e9ELaW7UsyOZMXf8mY+z0q4MA79lzf3RgiDkRGpsYSQMYHxzAC7j0ABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a619780fcef51b3476dcd816d11247906df0775f7e66340892ee152372d19a","last_reissued_at":"2026-05-18T02:11:25.328113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:25.328113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.1625","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":"2026-05-18T02:11:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vphtgBfITWkHEAeoxgmvp8m+VCOclnV8Jct+O3j3UlzQsjJ3eVTdqnxQ/7HZGnOHDMvSkQ01n1YTSCo0t8b/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:31:38.083743Z"},"content_sha256":"68406ade6e0c3bbadd82843873b1d6c0eb69d9ebea6e1cb362480799ae74fb01","schema_version":"1.0","event_id":"sha256:68406ade6e0c3bbadd82843873b1d6c0eb69d9ebea6e1cb362480799ae74fb01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:WSTBS6APZ32RWNDW3TMBNUISI6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Manifestly Covariant Juttner Distribution and Equipartition Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Guillermo Chacon-Acosta, Hugo A. Morales-Tecotl, Leonardo Dagdug","submitted_at":"2009-10-08T22:14:04Z","abstract_excerpt":"The relativistic equilibrium velocity distribution plays a key role in describing several high-energy and astrophysical effects. Recently, computer simulations favored Juttner's as the relativistic generalization of Maxwell's distribution for d=1,2,3 spatial dimensions and pointed to an invariant temperature. In this work we argue an invariant temperature naturally follows from manifest covariance. We present a new derivation of the manifestly covariant Juttner's distribution and Equipartition Theorem. The standard procedure to get the equilibrium distribution as a solution of the relativistic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1625","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":"2026-05-18T02:11:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tm48xJgO5xHZRvAHAeDXGmL1Nqk6x0oHEmvMXmsBEzKzo5h+7DULntJqapZwxdfQY32j34nIIbbg+zheDLBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:31:38.084446Z"},"content_sha256":"3bd17b58bb0684b88bf319ed907f03ea63a75e0fe0ef0e20f2fdff693e799c91","schema_version":"1.0","event_id":"sha256:3bd17b58bb0684b88bf319ed907f03ea63a75e0fe0ef0e20f2fdff693e799c91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSTBS6APZ32RWNDW3TMBNUISI6/bundle.json","state_url":"https://pith.science/pith/WSTBS6APZ32RWNDW3TMBNUISI6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSTBS6APZ32RWNDW3TMBNUISI6/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":"2026-06-07T18:31:38Z","links":{"resolver":"https://pith.science/pith/WSTBS6APZ32RWNDW3TMBNUISI6","bundle":"https://pith.science/pith/WSTBS6APZ32RWNDW3TMBNUISI6/bundle.json","state":"https://pith.science/pith/WSTBS6APZ32RWNDW3TMBNUISI6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSTBS6APZ32RWNDW3TMBNUISI6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WSTBS6APZ32RWNDW3TMBNUISI6","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":"f5513d5bd343289a17039eb1e3965e278b05f2684be484a0eeb0186f32133b51","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-08T22:14:04Z","title_canon_sha256":"d1a0d199c4e64502fc54fa69d731298a15ae14a909b458ec08483fa4f61ef986"},"schema_version":"1.0","source":{"id":"0910.1625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1625","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1625v1","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1625","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"pith_short_12","alias_value":"WSTBS6APZ32R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WSTBS6APZ32RWNDW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WSTBS6AP","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:3bd17b58bb0684b88bf319ed907f03ea63a75e0fe0ef0e20f2fdff693e799c91","target":"graph","created_at":"2026-05-18T02:11:25Z","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 relativistic equilibrium velocity distribution plays a key role in describing several high-energy and astrophysical effects. Recently, computer simulations favored Juttner's as the relativistic generalization of Maxwell's distribution for d=1,2,3 spatial dimensions and pointed to an invariant temperature. In this work we argue an invariant temperature naturally follows from manifest covariance. We present a new derivation of the manifestly covariant Juttner's distribution and Equipartition Theorem. The standard procedure to get the equilibrium distribution as a solution of the relativistic","authors_text":"Guillermo Chacon-Acosta, Hugo A. Morales-Tecotl, Leonardo Dagdug","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-08T22:14:04Z","title":"On the Manifestly Covariant Juttner Distribution and Equipartition Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1625","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":"sha256:68406ade6e0c3bbadd82843873b1d6c0eb69d9ebea6e1cb362480799ae74fb01","target":"record","created_at":"2026-05-18T02:11:25Z","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":"f5513d5bd343289a17039eb1e3965e278b05f2684be484a0eeb0186f32133b51","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-08T22:14:04Z","title_canon_sha256":"d1a0d199c4e64502fc54fa69d731298a15ae14a909b458ec08483fa4f61ef986"},"schema_version":"1.0","source":{"id":"0910.1625","kind":"arxiv","version":1}},"canonical_sha256":"b4a619780fcef51b3476dcd816d11247906df0775f7e66340892ee152372d19a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a619780fcef51b3476dcd816d11247906df0775f7e66340892ee152372d19a","first_computed_at":"2026-05-18T02:11:25.328113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:25.328113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PyfDoD+MCbnoeRqm7KIgCBlZuGFE84e9ELaW7UsyOZMXf8mY+z0q4MA79lzf3RgiDkRGpsYSQMYHxzAC7j0ABw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:25.328776Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.1625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68406ade6e0c3bbadd82843873b1d6c0eb69d9ebea6e1cb362480799ae74fb01","sha256:3bd17b58bb0684b88bf319ed907f03ea63a75e0fe0ef0e20f2fdff693e799c91"],"state_sha256":"12ee4c910606a7e1545488d0a03258b5e34b93c20a47765af9454f86d2e4addd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+JIxA8F732oF04R3rsje6W47h+qZTYakIyediBv755KHN0TbEsTFps16/+iov3wSBo0g58sewHwLwdSofzDJBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:31:38.088244Z","bundle_sha256":"54b37ee9aa740ea3e29ab27635628fb8ce7f1e65292081d994cc756e1ab1c2fc"}}