{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TF6B3MSYOQA3GXLBG4TZN77NWH","short_pith_number":"pith:TF6B3MSY","canonical_record":{"source":{"id":"1207.1184","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-05T08:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"97dcf60785b123f42a0e12a749b1194e7ec38a4349c7fe2dd16a4e0069f3c8d8","abstract_canon_sha256":"40faaefc7484f06f9a31aaa29647830792dbbe13c4d487b268ea6f8a6b1b9a46"},"schema_version":"1.0"},"canonical_sha256":"997c1db2587401b35d61372796ffedb1e5576ce460ed85346d0dbcea00badb11","source":{"kind":"arxiv","id":"1207.1184","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1184","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1184v2","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1184","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"TF6B3MSYOQA3","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TF6B3MSYOQA3GXLB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TF6B3MSY","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TF6B3MSYOQA3GXLBG4TZN77NWH","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1184","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-05T08:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"97dcf60785b123f42a0e12a749b1194e7ec38a4349c7fe2dd16a4e0069f3c8d8","abstract_canon_sha256":"40faaefc7484f06f9a31aaa29647830792dbbe13c4d487b268ea6f8a6b1b9a46"},"schema_version":"1.0"},"canonical_sha256":"997c1db2587401b35d61372796ffedb1e5576ce460ed85346d0dbcea00badb11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:34.495789Z","signature_b64":"d6Szw/3vnX3Ouy8u4eIIYb8pi0rvAs2ryfuieNHrlzV3/NB7h5nKOAOSJ6/AEgrQcK8adlbgBLIy77weIISsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"997c1db2587401b35d61372796ffedb1e5576ce460ed85346d0dbcea00badb11","last_reissued_at":"2026-05-18T01:56:34.495108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:34.495108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1184","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":"2026-05-18T01:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4xmmTz9etb/ngJtS30qFMj27owZwnItxnh9L5rfz4yY0Ofs1qzqNYcTc5vmwDMWJ5eUKu+M3Xbb9xCR8CC/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:46:40.226395Z"},"content_sha256":"5dad3d07fe1f4c99610f77789e1ddac515136a5daa9073af874c6f3ef787acf5","schema_version":"1.0","event_id":"sha256:5dad3d07fe1f4c99610f77789e1ddac515136a5daa9073af874c6f3ef787acf5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TF6B3MSYOQA3GXLBG4TZN77NWH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of a Levy walk model for anomalous heat transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhishek Dhar, Bernard Derrida, Keiji Saito","submitted_at":"2012-07-05T08:17:08Z","abstract_excerpt":"The Levy walk model is studied in the context of the anomalous heat conduction of one dimensional systems. In this model the heat carriers execute Levy-walks instead of normal diffusion as expected in systems where Fourier's law holds. Here we calculate exactly the average heat current, the large deviation function of its fluctuations and the temperature profile of the Levy-walk model maintained in a steady state by contact with two heat baths (the open geometry). We find that the current is non-locally connected to the temperature gradient. As observed in recent simulations of mechanical mode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1184","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":"2026-05-18T01:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P5YkxP5NFXruH6hlMyrkijAGyTIkNaO9SHM6CIx/UjZaYjVrtWjXxjCe2lbjkjmsGRqsomGuQSYWtURoSuMYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:46:40.227116Z"},"content_sha256":"7c7b255ef2990e354fa26eb2b82985275e2c027ae7caf40da147c480aa0eab8d","schema_version":"1.0","event_id":"sha256:7c7b255ef2990e354fa26eb2b82985275e2c027ae7caf40da147c480aa0eab8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/bundle.json","state_url":"https://pith.science/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/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":"2026-05-25T17:46:40Z","links":{"resolver":"https://pith.science/pith/TF6B3MSYOQA3GXLBG4TZN77NWH","bundle":"https://pith.science/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/bundle.json","state":"https://pith.science/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TF6B3MSYOQA3GXLBG4TZN77NWH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TF6B3MSYOQA3GXLBG4TZN77NWH","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":"40faaefc7484f06f9a31aaa29647830792dbbe13c4d487b268ea6f8a6b1b9a46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-05T08:17:08Z","title_canon_sha256":"97dcf60785b123f42a0e12a749b1194e7ec38a4349c7fe2dd16a4e0069f3c8d8"},"schema_version":"1.0","source":{"id":"1207.1184","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1184","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1184v2","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1184","created_at":"2026-05-18T01:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"TF6B3MSYOQA3","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TF6B3MSYOQA3GXLB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TF6B3MSY","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:7c7b255ef2990e354fa26eb2b82985275e2c027ae7caf40da147c480aa0eab8d","target":"graph","created_at":"2026-05-18T01:56:34Z","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":"The Levy walk model is studied in the context of the anomalous heat conduction of one dimensional systems. In this model the heat carriers execute Levy-walks instead of normal diffusion as expected in systems where Fourier's law holds. Here we calculate exactly the average heat current, the large deviation function of its fluctuations and the temperature profile of the Levy-walk model maintained in a steady state by contact with two heat baths (the open geometry). We find that the current is non-locally connected to the temperature gradient. As observed in recent simulations of mechanical mode","authors_text":"Abhishek Dhar, Bernard Derrida, Keiji Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-05T08:17:08Z","title":"Exact solution of a Levy walk model for anomalous heat transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1184","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":"sha256:5dad3d07fe1f4c99610f77789e1ddac515136a5daa9073af874c6f3ef787acf5","target":"record","created_at":"2026-05-18T01:56:34Z","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":"40faaefc7484f06f9a31aaa29647830792dbbe13c4d487b268ea6f8a6b1b9a46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-05T08:17:08Z","title_canon_sha256":"97dcf60785b123f42a0e12a749b1194e7ec38a4349c7fe2dd16a4e0069f3c8d8"},"schema_version":"1.0","source":{"id":"1207.1184","kind":"arxiv","version":2}},"canonical_sha256":"997c1db2587401b35d61372796ffedb1e5576ce460ed85346d0dbcea00badb11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"997c1db2587401b35d61372796ffedb1e5576ce460ed85346d0dbcea00badb11","first_computed_at":"2026-05-18T01:56:34.495108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:34.495108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d6Szw/3vnX3Ouy8u4eIIYb8pi0rvAs2ryfuieNHrlzV3/NB7h5nKOAOSJ6/AEgrQcK8adlbgBLIy77weIISsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:34.495789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1184","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dad3d07fe1f4c99610f77789e1ddac515136a5daa9073af874c6f3ef787acf5","sha256:7c7b255ef2990e354fa26eb2b82985275e2c027ae7caf40da147c480aa0eab8d"],"state_sha256":"a39d732bea77ca83418fd1e1633e22f56c944a7d8c993f7ab924f3adf1aae217"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dp1wYdSxyA4nljfJ+5KhuuorUtTlCtrRj73bQRwVb2bPq9lEedJHvD4aUViS1l7cU2sAWJ/eR3QyCnmcI/7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:46:40.231239Z","bundle_sha256":"e4f96719f2ec248bb1736ed1e372a07ea984c2726c65a6968b0e26e4a68a20d8"}}