{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:DJA5MYL47G6PTIXJEELL6F77GF","short_pith_number":"pith:DJA5MYL4","canonical_record":{"source":{"id":"0712.4047","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2007-12-25T05:15:38Z","cross_cats_sorted":[],"title_canon_sha256":"c10ae1adad212b22b6c98ef19a9e4956bcd077b41d60d7a3e286388ebae1f81c","abstract_canon_sha256":"c8255a9b653c0fd5ff4dcae4ff3c22fa8090647af597f91cbdebd6dcd9c048ee"},"schema_version":"1.0"},"canonical_sha256":"1a41d6617cf9bcf9a2e92116bf17ff3149bd1d0740b0ed27a220e717a99d9ef4","source":{"kind":"arxiv","id":"0712.4047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.4047","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"0712.4047v1","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.4047","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"DJA5MYL47G6P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DJA5MYL47G6PTIXJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DJA5MYL4","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:DJA5MYL47G6PTIXJEELL6F77GF","target":"record","payload":{"canonical_record":{"source":{"id":"0712.4047","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2007-12-25T05:15:38Z","cross_cats_sorted":[],"title_canon_sha256":"c10ae1adad212b22b6c98ef19a9e4956bcd077b41d60d7a3e286388ebae1f81c","abstract_canon_sha256":"c8255a9b653c0fd5ff4dcae4ff3c22fa8090647af597f91cbdebd6dcd9c048ee"},"schema_version":"1.0"},"canonical_sha256":"1a41d6617cf9bcf9a2e92116bf17ff3149bd1d0740b0ed27a220e717a99d9ef4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:02.506838Z","signature_b64":"CmqhpoDAYdz+pMbkxAvmkzUgUg5/mS37QC6zXgJcwkmrjg9qQP69cFmfYTuKlhBMdTBdrhV+5IwAGpI9XD3pDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a41d6617cf9bcf9a2e92116bf17ff3149bd1d0740b0ed27a220e717a99d9ef4","last_reissued_at":"2026-05-18T02:16:02.506405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:02.506405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.4047","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":"2026-05-18T02:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L+JhISjipJSLBkzPYW9R1xv90rMpqPBDO90GBQUYwoI9Pp3fMps/ZXmikDnhlvqaHC4E2bf8RUsa26pa5R3QAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:12:56.217762Z"},"content_sha256":"e12757e9e44ad51dc198bb8f9c51ebb2be41f9090328cba7c8b3dcde987f9ffd","schema_version":"1.0","event_id":"sha256:e12757e9e44ad51dc198bb8f9c51ebb2be41f9090328cba7c8b3dcde987f9ffd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:DJA5MYL47G6PTIXJEELL6F77GF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Yositake Takane","submitted_at":"2007-12-25T05:15:38Z","abstract_excerpt":"We study the conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation for transmission eigenvalues, we obtain the average and second moment of the conductance in the long-wire regime. For comparison, we employ the three-edge Chalker-Coddington model as the simplest example of channel-number-imbalanced systems with $m = 1$, and obtain the average and second moment of the condu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.4047","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":"2026-05-18T02:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"njzGU9a6UXlLDOdwLe8nS+d+rWzyoWUFcTwBPZZnG5A9vUsKuT6VXht93UX+22pQzQcZSokPib4kHfMYgPK7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:12:56.218156Z"},"content_sha256":"95d6ee19c0a202d390dd963f8db9609fc1a0731a1262703b02d299c5e3c11a92","schema_version":"1.0","event_id":"sha256:95d6ee19c0a202d390dd963f8db9609fc1a0731a1262703b02d299c5e3c11a92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJA5MYL47G6PTIXJEELL6F77GF/bundle.json","state_url":"https://pith.science/pith/DJA5MYL47G6PTIXJEELL6F77GF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJA5MYL47G6PTIXJEELL6F77GF/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":"2026-05-30T21:12:56Z","links":{"resolver":"https://pith.science/pith/DJA5MYL47G6PTIXJEELL6F77GF","bundle":"https://pith.science/pith/DJA5MYL47G6PTIXJEELL6F77GF/bundle.json","state":"https://pith.science/pith/DJA5MYL47G6PTIXJEELL6F77GF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJA5MYL47G6PTIXJEELL6F77GF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:DJA5MYL47G6PTIXJEELL6F77GF","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":"c8255a9b653c0fd5ff4dcae4ff3c22fa8090647af597f91cbdebd6dcd9c048ee","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2007-12-25T05:15:38Z","title_canon_sha256":"c10ae1adad212b22b6c98ef19a9e4956bcd077b41d60d7a3e286388ebae1f81c"},"schema_version":"1.0","source":{"id":"0712.4047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.4047","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"0712.4047v1","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.4047","created_at":"2026-05-18T02:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"DJA5MYL47G6P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"DJA5MYL47G6PTIXJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"DJA5MYL4","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:95d6ee19c0a202d390dd963f8db9609fc1a0731a1262703b02d299c5e3c11a92","target":"graph","created_at":"2026-05-18T02:16:02Z","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 conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation for transmission eigenvalues, we obtain the average and second moment of the conductance in the long-wire regime. For comparison, we employ the three-edge Chalker-Coddington model as the simplest example of channel-number-imbalanced systems with $m = 1$, and obtain the average and second moment of the condu","authors_text":"Yositake Takane","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2007-12-25T05:15:38Z","title":"Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.4047","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:e12757e9e44ad51dc198bb8f9c51ebb2be41f9090328cba7c8b3dcde987f9ffd","target":"record","created_at":"2026-05-18T02:16:02Z","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":"c8255a9b653c0fd5ff4dcae4ff3c22fa8090647af597f91cbdebd6dcd9c048ee","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2007-12-25T05:15:38Z","title_canon_sha256":"c10ae1adad212b22b6c98ef19a9e4956bcd077b41d60d7a3e286388ebae1f81c"},"schema_version":"1.0","source":{"id":"0712.4047","kind":"arxiv","version":1}},"canonical_sha256":"1a41d6617cf9bcf9a2e92116bf17ff3149bd1d0740b0ed27a220e717a99d9ef4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a41d6617cf9bcf9a2e92116bf17ff3149bd1d0740b0ed27a220e717a99d9ef4","first_computed_at":"2026-05-18T02:16:02.506405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:02.506405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CmqhpoDAYdz+pMbkxAvmkzUgUg5/mS37QC6zXgJcwkmrjg9qQP69cFmfYTuKlhBMdTBdrhV+5IwAGpI9XD3pDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:02.506838Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.4047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e12757e9e44ad51dc198bb8f9c51ebb2be41f9090328cba7c8b3dcde987f9ffd","sha256:95d6ee19c0a202d390dd963f8db9609fc1a0731a1262703b02d299c5e3c11a92"],"state_sha256":"fbc09abfd70ae860c1d841c75a3ae6859abab140fb07d08482df8b110f2ff72a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9Rq4EYeH2mupT0Okrrij/gTxF4B3hWGlkhoDbqv7MzIazyaS9X97fxpbVUyA98UCqEMXaPVgjypliOmrhQZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T21:12:56.220137Z","bundle_sha256":"71642bd236d6f874819a18a9559c00dd01b45451c0a5da4b2f5a992ee58351d2"}}