{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:V4SIMN25SG4F3ZITMAHCP56YXH","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":"8d2fa4cdb9eae06cfcccea40bf3993559837ae63cbd7834241f33a1bd0abef6b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-04-02T16:06:39Z","title_canon_sha256":"fa245a206de2928fc05e6fffc4206c3d197feabccab2e48951b55b4b01daccd3"},"schema_version":"1.0","source":{"id":"cond-mat/0604015","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604015","created_at":"2026-07-04T14:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604015v3","created_at":"2026-07-04T14:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604015","created_at":"2026-07-04T14:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"V4SIMN25SG4F","created_at":"2026-07-04T14:53:47Z"},{"alias_kind":"pith_short_16","alias_value":"V4SIMN25SG4F3ZIT","created_at":"2026-07-04T14:53:47Z"},{"alias_kind":"pith_short_8","alias_value":"V4SIMN25","created_at":"2026-07-04T14:53:47Z"}],"graph_snapshots":[{"event_id":"sha256:afa00fd49b234e4bb6fb99f17d5f73da2f841ba9ee0068c0c47f570bc8861ff5","target":"graph","created_at":"2026-07-04T14:53:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0604015/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Due to the chiral nature of electrons in a monolayer of graphite (graphene) one can expect weak antilocalisation and a positive weak-field magnetoresistance in it. However, trigonal warping (which breaks p/-p symmetry of the Fermi line in each valley) suppresses antilocalisation, while inter-valley scattering due to atomically sharp scatterers in a realistic graphene sheet or by edges in a narrow wire tends to restore conventional negative magnetoresistance. We show this by evaluating the dependence of the magnetoresistance of graphene on relaxation rates associated with various possible ways ","authors_text":"B.L. Altshuler, E. McCann, H. Suzuura, K. Kechedzhi, T. Ando, Vladimir I. Fal'ko","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-04-02T16:06:39Z","title":"Weak localisation magnetoresistance and valley symmetry in graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604015","kind":"arxiv","version":3},"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:fbe1962b5b430349ff4f086f061ef03acb0ca115664523408901c4323b92afb3","target":"record","created_at":"2026-07-04T14:53:47Z","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":"8d2fa4cdb9eae06cfcccea40bf3993559837ae63cbd7834241f33a1bd0abef6b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-04-02T16:06:39Z","title_canon_sha256":"fa245a206de2928fc05e6fffc4206c3d197feabccab2e48951b55b4b01daccd3"},"schema_version":"1.0","source":{"id":"cond-mat/0604015","kind":"arxiv","version":3}},"canonical_sha256":"af2486375d91b85de513600e27f7d8b9d9fbd1fdbcaa4594c94e2783e323e1b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af2486375d91b85de513600e27f7d8b9d9fbd1fdbcaa4594c94e2783e323e1b7","first_computed_at":"2026-07-04T14:53:47.700856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:53:47.700856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zLl0BWBTh6Kqih6EYotFwal0L5RGx9EgafSvwH0622YIJehjw4F3RSqNGA0+hT+j8LToacZ8/OQBx0PaX08TCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:53:47.701272Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0604015","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbe1962b5b430349ff4f086f061ef03acb0ca115664523408901c4323b92afb3","sha256:afa00fd49b234e4bb6fb99f17d5f73da2f841ba9ee0068c0c47f570bc8861ff5"],"state_sha256":"d8657e48d80bd6de7cc08f355b32ad292da117f79578f938c0e494ffe9ec7d8d"}