{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PVRBA4ZZFYS4UMT5NBAWCBPLLC","short_pith_number":"pith:PVRBA4ZZ","canonical_record":{"source":{"id":"1109.1585","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-07T21:35:52Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"60b2185533b7a548b3967bbadd4bd01f47f39ecee925900e00c27b02df1731ac","abstract_canon_sha256":"a36e32faa785007fcd759da0422a33df7532e11bd522297ae6b20c5c2ea71f74"},"schema_version":"1.0"},"canonical_sha256":"7d621073392e25ca327d68416105eb58bd73b21d09945d26bf5511504fa085b6","source":{"kind":"arxiv","id":"1109.1585","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1585","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1585v1","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1585","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"pith_short_12","alias_value":"PVRBA4ZZFYS4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PVRBA4ZZFYS4UMT5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PVRBA4ZZ","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PVRBA4ZZFYS4UMT5NBAWCBPLLC","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1585","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-07T21:35:52Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"60b2185533b7a548b3967bbadd4bd01f47f39ecee925900e00c27b02df1731ac","abstract_canon_sha256":"a36e32faa785007fcd759da0422a33df7532e11bd522297ae6b20c5c2ea71f74"},"schema_version":"1.0"},"canonical_sha256":"7d621073392e25ca327d68416105eb58bd73b21d09945d26bf5511504fa085b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:54.855202Z","signature_b64":"BcMWqjPirzc1EI9IvycFQc93YFt/uvmwTAFiw6TRHwiI3x2q4vf5bImCPtMlb9ntExozqP86nCvrcQyjl9OXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d621073392e25ca327d68416105eb58bd73b21d09945d26bf5511504fa085b6","last_reissued_at":"2026-05-18T04:13:54.854538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:54.854538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1585","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":"2026-05-18T04:13:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSJDhsO2U5gKGty4HZTjY8m+fCCBWWNZV2DP/HbrGU4q0bSiDOfCwivLVPt1mmx4GBo+0C1/uI8t/QG2PLghCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:22.819160Z"},"content_sha256":"d412d962fdfc074ceb3029c04a146013a18d84d49cc889a54a7c7f116153a2ce","schema_version":"1.0","event_id":"sha256:d412d962fdfc074ceb3029c04a146013a18d84d49cc889a54a7c7f116153a2ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PVRBA4ZZFYS4UMT5NBAWCBPLLC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the wiedemann-franz law in thermoelectric composites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A.A. Snarskii, I. V. Bezsudnov, M. I. Zhenirovskii","submitted_at":"2011-09-07T21:35:52Z","abstract_excerpt":"Theoretical analysis of the effect of thermoelectric phenomena on the relation of effective electrical and thermal conductivity in the macroscopically inhomogeneous media is carried out. Plane-layered structures, two-dimensional self-dual and three-dimensional randomly inhomogeneous media are examined. It is shown that the relation of effective electrical to thermal conductivity, which is independent of concentration in so-called Wiedemann-Franz media, in the case of high values of internal thermoelectric figure of merit can be considerably different from the one for the local values in each p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1585","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":"2026-05-18T04:13:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cloT1NJ8xRHwp27uFXP7sL4QUiIYr+siD1N3HR6b7vetv1TwAEgq/bZBkC7lwMfEJHyTeWDFDEmZDwElvqqCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:25:22.819520Z"},"content_sha256":"ab1c4427a81d11892b98da0f3ad7309a8b8c50e1c573f3f66d0dcf1652697df5","schema_version":"1.0","event_id":"sha256:ab1c4427a81d11892b98da0f3ad7309a8b8c50e1c573f3f66d0dcf1652697df5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/bundle.json","state_url":"https://pith.science/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/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":"2026-06-02T19:25:22Z","links":{"resolver":"https://pith.science/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC","bundle":"https://pith.science/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/bundle.json","state":"https://pith.science/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PVRBA4ZZFYS4UMT5NBAWCBPLLC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PVRBA4ZZFYS4UMT5NBAWCBPLLC","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":"a36e32faa785007fcd759da0422a33df7532e11bd522297ae6b20c5c2ea71f74","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-07T21:35:52Z","title_canon_sha256":"60b2185533b7a548b3967bbadd4bd01f47f39ecee925900e00c27b02df1731ac"},"schema_version":"1.0","source":{"id":"1109.1585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1585","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1585v1","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1585","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"pith_short_12","alias_value":"PVRBA4ZZFYS4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PVRBA4ZZFYS4UMT5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PVRBA4ZZ","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:ab1c4427a81d11892b98da0f3ad7309a8b8c50e1c573f3f66d0dcf1652697df5","target":"graph","created_at":"2026-05-18T04:13:54Z","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":"Theoretical analysis of the effect of thermoelectric phenomena on the relation of effective electrical and thermal conductivity in the macroscopically inhomogeneous media is carried out. Plane-layered structures, two-dimensional self-dual and three-dimensional randomly inhomogeneous media are examined. It is shown that the relation of effective electrical to thermal conductivity, which is independent of concentration in so-called Wiedemann-Franz media, in the case of high values of internal thermoelectric figure of merit can be considerably different from the one for the local values in each p","authors_text":"A.A. Snarskii, I. V. Bezsudnov, M. I. Zhenirovskii","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-07T21:35:52Z","title":"On the wiedemann-franz law in thermoelectric composites"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1585","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:d412d962fdfc074ceb3029c04a146013a18d84d49cc889a54a7c7f116153a2ce","target":"record","created_at":"2026-05-18T04:13:54Z","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":"a36e32faa785007fcd759da0422a33df7532e11bd522297ae6b20c5c2ea71f74","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-09-07T21:35:52Z","title_canon_sha256":"60b2185533b7a548b3967bbadd4bd01f47f39ecee925900e00c27b02df1731ac"},"schema_version":"1.0","source":{"id":"1109.1585","kind":"arxiv","version":1}},"canonical_sha256":"7d621073392e25ca327d68416105eb58bd73b21d09945d26bf5511504fa085b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d621073392e25ca327d68416105eb58bd73b21d09945d26bf5511504fa085b6","first_computed_at":"2026-05-18T04:13:54.854538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:54.854538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BcMWqjPirzc1EI9IvycFQc93YFt/uvmwTAFiw6TRHwiI3x2q4vf5bImCPtMlb9ntExozqP86nCvrcQyjl9OXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:54.855202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d412d962fdfc074ceb3029c04a146013a18d84d49cc889a54a7c7f116153a2ce","sha256:ab1c4427a81d11892b98da0f3ad7309a8b8c50e1c573f3f66d0dcf1652697df5"],"state_sha256":"5f955ee9f958bda14851f78e235f01b49c9864440ed37b94eef5a8e7db7c588d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cZ0gmduR1HQD3rt+KhwqylGMonTepm7naq5pwwIG9+YwzqDQHOkfHBwKjqoo8p6F8MWJqQC5TDcyTwhFR9GXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:25:22.821525Z","bundle_sha256":"206f354e75205bda5f5a161814070a8e7023dc1f06cceb05f2de9b63589ff8e9"}}