{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZV6NNBFBRKPX3TEX7HSVWPIT75","short_pith_number":"pith:ZV6NNBFB","schema_version":"1.0","canonical_sha256":"cd7cd684a18a9f7dcc97f9e55b3d13ff776876f4f810d65c54ef83fde735f8ab","source":{"kind":"arxiv","id":"1408.2307","version":1},"attestation_state":"computed","paper":{"title":"Hotspots in two-phase conducting media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","physics.comp-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Glatz, I.A. Sadovskyy, P.N. Kropotin, T.I. Baturina, V.M. Vinokur","submitted_at":"2014-08-11T04:46:08Z","abstract_excerpt":"We study electric properties of random resistor networks consisting of resistors of two kinds numerically, focusing on the power loss across each bond. Tuning the ratio of the resistances $r$ and their respective fraction $\\alpha$ we find that at large $r$ the conductance of the network is dominated by a few optimal, percolation-like, conducting paths. We demonstrate that the distribution of the local power losses $P$ is exponential, $\\propto\\exp(-P/\\langle P\\rangle)$, and reveal the spatial distribution of hotspots concentrating the main part of the dissipated power."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1408.2307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-08-11T04:46:08Z","cross_cats_sorted":["cond-mat.dis-nn","physics.comp-ph"],"title_canon_sha256":"ad48b896574fa299b5847c3c46806902874c1bf34873a39f5f4e9ca554845b1a","abstract_canon_sha256":"42b0ca715328313407cfc1dc3b8f9832c364ed5843c81885778c416a065aefed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:29.762005Z","signature_b64":"KeRHAylOyLCdlu0paUm5ebOhCu92SEdveVfnRSnPzTFqarschm+dsRkyDpuX9KtJa1FeUusEYAeCkxvzhIOEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd7cd684a18a9f7dcc97f9e55b3d13ff776876f4f810d65c54ef83fde735f8ab","last_reissued_at":"2026-05-18T02:45:29.761344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:29.761344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hotspots in two-phase conducting media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","physics.comp-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Glatz, I.A. Sadovskyy, P.N. Kropotin, T.I. Baturina, V.M. Vinokur","submitted_at":"2014-08-11T04:46:08Z","abstract_excerpt":"We study electric properties of random resistor networks consisting of resistors of two kinds numerically, focusing on the power loss across each bond. Tuning the ratio of the resistances $r$ and their respective fraction $\\alpha$ we find that at large $r$ the conductance of the network is dominated by a few optimal, percolation-like, conducting paths. We demonstrate that the distribution of the local power losses $P$ is exponential, $\\propto\\exp(-P/\\langle P\\rangle)$, and reveal the spatial distribution of hotspots concentrating the main part of the dissipated power."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2307","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.2307","created_at":"2026-05-18T02:45:29.761425+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.2307v1","created_at":"2026-05-18T02:45:29.761425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2307","created_at":"2026-05-18T02:45:29.761425+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZV6NNBFBRKPX","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZV6NNBFBRKPX3TEX","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZV6NNBFB","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75","json":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75.json","graph_json":"https://pith.science/api/pith-number/ZV6NNBFBRKPX3TEX7HSVWPIT75/graph.json","events_json":"https://pith.science/api/pith-number/ZV6NNBFBRKPX3TEX7HSVWPIT75/events.json","paper":"https://pith.science/paper/ZV6NNBFB"},"agent_actions":{"view_html":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75","download_json":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75.json","view_paper":"https://pith.science/paper/ZV6NNBFB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.2307&json=true","fetch_graph":"https://pith.science/api/pith-number/ZV6NNBFBRKPX3TEX7HSVWPIT75/graph.json","fetch_events":"https://pith.science/api/pith-number/ZV6NNBFBRKPX3TEX7HSVWPIT75/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75/action/storage_attestation","attest_author":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75/action/author_attestation","sign_citation":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75/action/citation_signature","submit_replication":"https://pith.science/pith/ZV6NNBFBRKPX3TEX7HSVWPIT75/action/replication_record"}},"created_at":"2026-05-18T02:45:29.761425+00:00","updated_at":"2026-05-18T02:45:29.761425+00:00"}