{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DQGHR6CLG6Z24UXQ5GKBC37E5I","short_pith_number":"pith:DQGHR6CL","canonical_record":{"source":{"id":"1002.0794","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T17:04:22Z","cross_cats_sorted":[],"title_canon_sha256":"cf2215b73cc7a400d7240661cfac314448e438fa610cea1a3bc25602180ac290","abstract_canon_sha256":"4aac7c6729a1b4d83bf1db6fd9121ebf4bc8e746827cc71e456dc7e991178981"},"schema_version":"1.0"},"canonical_sha256":"1c0c78f84b37b3ae52f0e994116fe4ea39b714d8d0fbb95b9b0a80b4d8db8316","source":{"kind":"arxiv","id":"1002.0794","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0794","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0794v2","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0794","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"pith_short_12","alias_value":"DQGHR6CLG6Z2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DQGHR6CLG6Z24UXQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DQGHR6CL","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DQGHR6CLG6Z24UXQ5GKBC37E5I","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0794","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T17:04:22Z","cross_cats_sorted":[],"title_canon_sha256":"cf2215b73cc7a400d7240661cfac314448e438fa610cea1a3bc25602180ac290","abstract_canon_sha256":"4aac7c6729a1b4d83bf1db6fd9121ebf4bc8e746827cc71e456dc7e991178981"},"schema_version":"1.0"},"canonical_sha256":"1c0c78f84b37b3ae52f0e994116fe4ea39b714d8d0fbb95b9b0a80b4d8db8316","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:52.764228Z","signature_b64":"YEOue6Uh+XRCA9WGcbAgH9Fq/yF5U8zxVHwYxsfjE4O04+DJnTvy4EaMCfq36JeJIMBWneMJyhaAe653uK82AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c0c78f84b37b3ae52f0e994116fe4ea39b714d8d0fbb95b9b0a80b4d8db8316","last_reissued_at":"2026-05-18T00:51:52.763542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:52.763542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0794","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":"2026-05-18T00:51:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vwUK2hq7tYxm4BJUv423YC5S5B9EJ0pFhNWcf3wM1h3OuKTHdFnExXbOGxAY0bJXC32HVKM/Tx++LXe8j11OBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:32:07.580499Z"},"content_sha256":"e78d92b5ca06ec97d83269cbd53695a8bcaa2d5e38e19997206e264474d81b06","schema_version":"1.0","event_id":"sha256:e78d92b5ca06ec97d83269cbd53695a8bcaa2d5e38e19997206e264474d81b06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DQGHR6CLG6Z24UXQ5GKBC37E5I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonequilibrium Stefan-Boltzmann law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Agustin Perez-Madrid, J. Miguel Rubi, Luciano C. Lapas","submitted_at":"2010-02-03T17:04:22Z","abstract_excerpt":"We study thermal radiation outside equilibrium. The situation considered consists of two bodies emitting photons at two different temperatures. We show that the system evolves to a stationary state characterized by an energy current which satisfies a Stefan-Boltzmann-like law expressing it as the difference of the temperatures to the fourth power of the emitters . The results obtained show how the classical laws governing the thermal radiation at equlibrium can be generalized away from equilibrium situations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0794","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":"2026-05-18T00:51:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qvFBvUIphtkr1zHoV5uo4Vghn2J3DiNb0HvK0C5kVHISG17LU9nbZmR3X+JhqEwNA3AttQNDJoYwO7YvwVryDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:32:07.580853Z"},"content_sha256":"f3b56cb909875928b8f5d731524d8bd2cda72ffc88f6eab6a43fee9bd62af839","schema_version":"1.0","event_id":"sha256:f3b56cb909875928b8f5d731524d8bd2cda72ffc88f6eab6a43fee9bd62af839"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/bundle.json","state_url":"https://pith.science/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/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":"2026-05-30T18:32:07Z","links":{"resolver":"https://pith.science/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I","bundle":"https://pith.science/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/bundle.json","state":"https://pith.science/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DQGHR6CLG6Z24UXQ5GKBC37E5I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DQGHR6CLG6Z24UXQ5GKBC37E5I","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":"4aac7c6729a1b4d83bf1db6fd9121ebf4bc8e746827cc71e456dc7e991178981","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T17:04:22Z","title_canon_sha256":"cf2215b73cc7a400d7240661cfac314448e438fa610cea1a3bc25602180ac290"},"schema_version":"1.0","source":{"id":"1002.0794","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0794","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0794v2","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0794","created_at":"2026-05-18T00:51:52Z"},{"alias_kind":"pith_short_12","alias_value":"DQGHR6CLG6Z2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DQGHR6CLG6Z24UXQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DQGHR6CL","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:f3b56cb909875928b8f5d731524d8bd2cda72ffc88f6eab6a43fee9bd62af839","target":"graph","created_at":"2026-05-18T00:51:52Z","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":"We study thermal radiation outside equilibrium. The situation considered consists of two bodies emitting photons at two different temperatures. We show that the system evolves to a stationary state characterized by an energy current which satisfies a Stefan-Boltzmann-like law expressing it as the difference of the temperatures to the fourth power of the emitters . The results obtained show how the classical laws governing the thermal radiation at equlibrium can be generalized away from equilibrium situations.","authors_text":"Agustin Perez-Madrid, J. Miguel Rubi, Luciano C. Lapas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T17:04:22Z","title":"Nonequilibrium Stefan-Boltzmann law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0794","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:e78d92b5ca06ec97d83269cbd53695a8bcaa2d5e38e19997206e264474d81b06","target":"record","created_at":"2026-05-18T00:51:52Z","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":"4aac7c6729a1b4d83bf1db6fd9121ebf4bc8e746827cc71e456dc7e991178981","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T17:04:22Z","title_canon_sha256":"cf2215b73cc7a400d7240661cfac314448e438fa610cea1a3bc25602180ac290"},"schema_version":"1.0","source":{"id":"1002.0794","kind":"arxiv","version":2}},"canonical_sha256":"1c0c78f84b37b3ae52f0e994116fe4ea39b714d8d0fbb95b9b0a80b4d8db8316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c0c78f84b37b3ae52f0e994116fe4ea39b714d8d0fbb95b9b0a80b4d8db8316","first_computed_at":"2026-05-18T00:51:52.763542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:52.763542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YEOue6Uh+XRCA9WGcbAgH9Fq/yF5U8zxVHwYxsfjE4O04+DJnTvy4EaMCfq36JeJIMBWneMJyhaAe653uK82AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:52.764228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0794","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e78d92b5ca06ec97d83269cbd53695a8bcaa2d5e38e19997206e264474d81b06","sha256:f3b56cb909875928b8f5d731524d8bd2cda72ffc88f6eab6a43fee9bd62af839"],"state_sha256":"d2bb6b20f71e72ff08e849c92786aa5a64a18f9786c40be24c61e428d242417a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7s4AD16gD/Wh+WXoZh5j8hGvbX/6VYtYbojcrQffQf6LVK9W08UDh+SSqsZ1OfpNrntqwfN56ilkjFlwo4JAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:32:07.583378Z","bundle_sha256":"38b5b6bcfb829a5860a84ff611a13a7c70e63313d53f19d5726ec6909644e563"}}