{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7PUD5QRW6RLNX7QSWG5NPPDNKZ","short_pith_number":"pith:7PUD5QRW","canonical_record":{"source":{"id":"1108.4650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-23T16:27:27Z","cross_cats_sorted":[],"title_canon_sha256":"004df0beb1f76aa40dda489ac65151305d3513897c9a6bf8db32c4d0cd31ff1e","abstract_canon_sha256":"21c23f806cb729746d90cb43d8895d7ddc2837ffa1e995cad57ffd3ccbd35912"},"schema_version":"1.0"},"canonical_sha256":"fbe83ec236f456dbfe12b1bad7bc6d56656faee908bdcef1a6ebd68aaeb731a9","source":{"kind":"arxiv","id":"1108.4650","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4650","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4650v2","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4650","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"7PUD5QRW6RLN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7PUD5QRW6RLNX7QS","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7PUD5QRW","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7PUD5QRW6RLNX7QSWG5NPPDNKZ","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-23T16:27:27Z","cross_cats_sorted":[],"title_canon_sha256":"004df0beb1f76aa40dda489ac65151305d3513897c9a6bf8db32c4d0cd31ff1e","abstract_canon_sha256":"21c23f806cb729746d90cb43d8895d7ddc2837ffa1e995cad57ffd3ccbd35912"},"schema_version":"1.0"},"canonical_sha256":"fbe83ec236f456dbfe12b1bad7bc6d56656faee908bdcef1a6ebd68aaeb731a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:49.186222Z","signature_b64":"9nNG+smRMzzM6ZtSIWfmWZh1xxxClR6gGgzPBxjOwwgtAN/ZL9XOyiysvp/s4Im8+G7qhy4WbyIugP2LvVppBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbe83ec236f456dbfe12b1bad7bc6d56656faee908bdcef1a6ebd68aaeb731a9","last_reissued_at":"2026-05-18T02:00:49.185645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:49.185645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4650","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":"2026-05-18T02:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jWz1V8QCdsxSOo3qHkU2H+f1zyjTO2YQug6P2O6pQFm/U2ZqWgjveweA924eW4J6xdQDpTa6temkFglNPLBJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:01:58.218841Z"},"content_sha256":"0100bb5720a7b094b8420575797f8ad94775330f73be50f9f5a6e6590ba94a5f","schema_version":"1.0","event_id":"sha256:0100bb5720a7b094b8420575797f8ad94775330f73be50f9f5a6e6590ba94a5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7PUD5QRW6RLNX7QSWG5NPPDNKZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering-matrix approach to Casimir-Lifshitz force and heat transfer out of thermal equilibrium between arbitrary bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mauro Antezza, Riccardo Messina","submitted_at":"2011-08-23T16:27:27Z","abstract_excerpt":"We study the radiative heat transfer and the Casimir-Lifshitz force occurring between two bodies in a system out of thermal equilibrium. We consider bodies of arbitrary shape and dielectric properties, held at two different temperatures, and immersed in a environmental radiation at a third different temperature. We derive explicit closed-form analytic expressions for the correlations of the electromagnetic field, and for the heat transfer and Casimir-Lifshitz force, in terms of the bodies scattering matrices. We then consider some particular cases which we investigate in detail: the atom-surfa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4650","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":"2026-05-18T02:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBRcIagE2rWa+nFXqYpbi2+noUMEzcHshb4MzKtWnGMVcTSsYtMpTdex82h9rUSUoRC1OydzW9ADbCD5pG/sDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:01:58.219601Z"},"content_sha256":"2e0e4f804d7093de4e692876c8fe6b297230d8a04fe2c1fae074ae6ac062dd58","schema_version":"1.0","event_id":"sha256:2e0e4f804d7093de4e692876c8fe6b297230d8a04fe2c1fae074ae6ac062dd58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/bundle.json","state_url":"https://pith.science/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/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":"2026-06-07T09:01:58Z","links":{"resolver":"https://pith.science/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ","bundle":"https://pith.science/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/bundle.json","state":"https://pith.science/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PUD5QRW6RLNX7QSWG5NPPDNKZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7PUD5QRW6RLNX7QSWG5NPPDNKZ","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":"21c23f806cb729746d90cb43d8895d7ddc2837ffa1e995cad57ffd3ccbd35912","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-23T16:27:27Z","title_canon_sha256":"004df0beb1f76aa40dda489ac65151305d3513897c9a6bf8db32c4d0cd31ff1e"},"schema_version":"1.0","source":{"id":"1108.4650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4650","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4650v2","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4650","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"7PUD5QRW6RLN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7PUD5QRW6RLNX7QS","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7PUD5QRW","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:2e0e4f804d7093de4e692876c8fe6b297230d8a04fe2c1fae074ae6ac062dd58","target":"graph","created_at":"2026-05-18T02:00:49Z","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 the radiative heat transfer and the Casimir-Lifshitz force occurring between two bodies in a system out of thermal equilibrium. We consider bodies of arbitrary shape and dielectric properties, held at two different temperatures, and immersed in a environmental radiation at a third different temperature. We derive explicit closed-form analytic expressions for the correlations of the electromagnetic field, and for the heat transfer and Casimir-Lifshitz force, in terms of the bodies scattering matrices. We then consider some particular cases which we investigate in detail: the atom-surfa","authors_text":"Mauro Antezza, Riccardo Messina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-23T16:27:27Z","title":"Scattering-matrix approach to Casimir-Lifshitz force and heat transfer out of thermal equilibrium between arbitrary bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4650","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":"sha256:0100bb5720a7b094b8420575797f8ad94775330f73be50f9f5a6e6590ba94a5f","target":"record","created_at":"2026-05-18T02:00:49Z","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":"21c23f806cb729746d90cb43d8895d7ddc2837ffa1e995cad57ffd3ccbd35912","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-23T16:27:27Z","title_canon_sha256":"004df0beb1f76aa40dda489ac65151305d3513897c9a6bf8db32c4d0cd31ff1e"},"schema_version":"1.0","source":{"id":"1108.4650","kind":"arxiv","version":2}},"canonical_sha256":"fbe83ec236f456dbfe12b1bad7bc6d56656faee908bdcef1a6ebd68aaeb731a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbe83ec236f456dbfe12b1bad7bc6d56656faee908bdcef1a6ebd68aaeb731a9","first_computed_at":"2026-05-18T02:00:49.185645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:49.185645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9nNG+smRMzzM6ZtSIWfmWZh1xxxClR6gGgzPBxjOwwgtAN/ZL9XOyiysvp/s4Im8+G7qhy4WbyIugP2LvVppBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:49.186222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0100bb5720a7b094b8420575797f8ad94775330f73be50f9f5a6e6590ba94a5f","sha256:2e0e4f804d7093de4e692876c8fe6b297230d8a04fe2c1fae074ae6ac062dd58"],"state_sha256":"2a429aebefc75d9533e7bcd26749d84ab20a81d3d9565094b48d560d3d4adb3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCJWrdi1vgrinGCl7Hxrq6Ak9waoQqopGF3j8hLSEpGk1nBsFRjUw+FmH02AVExE+3IlpaV+aYAiJvWO8kZjDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T09:01:58.223139Z","bundle_sha256":"6286c0cd79795431f9e937a49663a5b163d90582fd588e45e967663ced124432"}}