{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XQNFUU72BZHP5UQSP5WQQMCGDL","short_pith_number":"pith:XQNFUU72","canonical_record":{"source":{"id":"1012.0622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T02:05:51Z","cross_cats_sorted":[],"title_canon_sha256":"64aabf9e6fef8e137ff51fc173f3135ee666a4612e29dcd5025e404855d0be94","abstract_canon_sha256":"38672ee277e26740cb434610b59009c6ae2c2a2e17cfa4b528f4465b0e6a9c3f"},"schema_version":"1.0"},"canonical_sha256":"bc1a5a53fa0e4efed2127f6d0830461adad154046de281515530b30c7604b282","source":{"kind":"arxiv","id":"1012.0622","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0622","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0622v2","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0622","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"XQNFUU72BZHP","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XQNFUU72BZHP5UQS","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XQNFUU72","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XQNFUU72BZHP5UQSP5WQQMCGDL","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T02:05:51Z","cross_cats_sorted":[],"title_canon_sha256":"64aabf9e6fef8e137ff51fc173f3135ee666a4612e29dcd5025e404855d0be94","abstract_canon_sha256":"38672ee277e26740cb434610b59009c6ae2c2a2e17cfa4b528f4465b0e6a9c3f"},"schema_version":"1.0"},"canonical_sha256":"bc1a5a53fa0e4efed2127f6d0830461adad154046de281515530b30c7604b282","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:35.633408Z","signature_b64":"HXcbwknYF85nX0zMnV91LCFGtH8/XqUS0qgK+E5iyqSa7pDDp25hOnBYwUZuV0Xk5Q0gzBSYAdX587+LsdMxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc1a5a53fa0e4efed2127f6d0830461adad154046de281515530b30c7604b282","last_reissued_at":"2026-05-18T02:04:35.632799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:35.632799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0622","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":"2026-05-18T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A6Mxh4DfInNg90OsbucFtcVzg7oc6CNmemd7uG42FFvkrT6sVYK545PA2Cyf3RPjxs7f9Y6/e8iffcN3jdAVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:48:21.388704Z"},"content_sha256":"eff64bd34215a318aad5ae265b3321ea95213df5cc0987172efd4ece3e066c42","schema_version":"1.0","event_id":"sha256:eff64bd34215a318aad5ae265b3321ea95213df5cc0987172efd4ece3e066c42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XQNFUU72BZHP5UQSP5WQQMCGDL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generating Function Formula of Heat Transfer in Harmonic Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhishek Dhar, Keiji Saito","submitted_at":"2010-12-03T02:05:51Z","abstract_excerpt":"We consider heat transfer across an arbitrary harmonic network connected to two heat baths at different temperatures. The network has $N$ positional degrees of freedom, of which $N_L$ are connected to a bath at temperature $T_L$ and $N_R$ are connected to a bath at temperature $T_R$. We derive an exact formula for the cumulant generating function for heat transfer between the two baths. The formula is valid even for $N_L \\ne N_R$ and satisfies the Gallavotti-Cohen fluctuation symmetry. Since harmonic crystals in three dimensions are known to exhibit different regimes of transport such as balli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0622","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":"2026-05-18T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIDQs1aFGiDD7If0/DPsxYkjMrLPhyWtj1FV4SPXSL5LHUeNWnXzOiKwDJjutrGGyCjzJekTXp7fOaomVoz3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:48:21.389387Z"},"content_sha256":"66233eb3741af4aea165163925ddbdc3aeff9f68223f14ba22b43c17278c5c51","schema_version":"1.0","event_id":"sha256:66233eb3741af4aea165163925ddbdc3aeff9f68223f14ba22b43c17278c5c51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/bundle.json","state_url":"https://pith.science/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/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":"2026-05-25T18:48:21Z","links":{"resolver":"https://pith.science/pith/XQNFUU72BZHP5UQSP5WQQMCGDL","bundle":"https://pith.science/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/bundle.json","state":"https://pith.science/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XQNFUU72BZHP5UQSP5WQQMCGDL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XQNFUU72BZHP5UQSP5WQQMCGDL","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":"38672ee277e26740cb434610b59009c6ae2c2a2e17cfa4b528f4465b0e6a9c3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T02:05:51Z","title_canon_sha256":"64aabf9e6fef8e137ff51fc173f3135ee666a4612e29dcd5025e404855d0be94"},"schema_version":"1.0","source":{"id":"1012.0622","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0622","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0622v2","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0622","created_at":"2026-05-18T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"XQNFUU72BZHP","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XQNFUU72BZHP5UQS","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XQNFUU72","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:66233eb3741af4aea165163925ddbdc3aeff9f68223f14ba22b43c17278c5c51","target":"graph","created_at":"2026-05-18T02:04:35Z","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 consider heat transfer across an arbitrary harmonic network connected to two heat baths at different temperatures. The network has $N$ positional degrees of freedom, of which $N_L$ are connected to a bath at temperature $T_L$ and $N_R$ are connected to a bath at temperature $T_R$. We derive an exact formula for the cumulant generating function for heat transfer between the two baths. The formula is valid even for $N_L \\ne N_R$ and satisfies the Gallavotti-Cohen fluctuation symmetry. Since harmonic crystals in three dimensions are known to exhibit different regimes of transport such as balli","authors_text":"Abhishek Dhar, Keiji Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T02:05:51Z","title":"Generating Function Formula of Heat Transfer in Harmonic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0622","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:eff64bd34215a318aad5ae265b3321ea95213df5cc0987172efd4ece3e066c42","target":"record","created_at":"2026-05-18T02:04:35Z","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":"38672ee277e26740cb434610b59009c6ae2c2a2e17cfa4b528f4465b0e6a9c3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-03T02:05:51Z","title_canon_sha256":"64aabf9e6fef8e137ff51fc173f3135ee666a4612e29dcd5025e404855d0be94"},"schema_version":"1.0","source":{"id":"1012.0622","kind":"arxiv","version":2}},"canonical_sha256":"bc1a5a53fa0e4efed2127f6d0830461adad154046de281515530b30c7604b282","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc1a5a53fa0e4efed2127f6d0830461adad154046de281515530b30c7604b282","first_computed_at":"2026-05-18T02:04:35.632799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:35.632799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HXcbwknYF85nX0zMnV91LCFGtH8/XqUS0qgK+E5iyqSa7pDDp25hOnBYwUZuV0Xk5Q0gzBSYAdX587+LsdMxCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:35.633408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0622","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eff64bd34215a318aad5ae265b3321ea95213df5cc0987172efd4ece3e066c42","sha256:66233eb3741af4aea165163925ddbdc3aeff9f68223f14ba22b43c17278c5c51"],"state_sha256":"0bc74a67d8f84f35def08097414262fa30e03b5dd11c34e233c9a1fdb3d6fc23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0IBtUZITJn6zGQkQqXhpQ4pCIx91cJ/lfI3HTxsJpE+Vm13YyS/Fx8OSOimEUWus8dpaR1wfW+8iKurRvv2UDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:48:21.393685Z","bundle_sha256":"86c3e70e29384b6836651fc6345f93e0987ea0ad4688904c400fcd2ea3a22b14"}}