{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I65GPXNAGAD3SKMDBAP5KKJEZN","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":"4a026c51eb58114ac309f89c6273a17a4be7d3778b323974d068b5e9ed319cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-05T21:35:19Z","title_canon_sha256":"816b144e03f81956991665a60f296a5c0608e2e7348e09ca94d761a5a00bc822"},"schema_version":"1.0","source":{"id":"1605.01763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01763","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01763v1","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01763","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"I65GPXNAGAD3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I65GPXNAGAD3SKMD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I65GPXNA","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:7136501a40e2ebd656037da2bcdf507f924a6bae561eb278cbd0ad15010c9e42","target":"graph","created_at":"2026-05-18T00:59:58Z","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":"In a previous work [Dillon and Nakanishi, Eur.Phys.J B 87, 286 (2014)], we numerically calculated the transmission coefficient of the two-dimensional quantum percolation problem and mapped out in detail the three regimes of localization, i.e., exponentially localized, power-law localized, and delocalized which had been proposed earlier [Islam and Nakanishi, Phys.Rev. E 77, 061109 (2008)]. We now consider a variation on quantum percolation in which the hopping integral ($w$) associated with bonds that connect to at least one diluted site is not zero, but rather a fraction of the hopping integra","authors_text":"Brianna S. Dillon Thomas, Hisao Nakanishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-05T21:35:19Z","title":"Two-dimensional quantum percolation with binary non-zero hopping integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01763","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":"sha256:478b6b00a2db700d1b6f6d64bcfd8ae211c1a9ae2aa79817aa675b81e8708efb","target":"record","created_at":"2026-05-18T00:59:58Z","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":"4a026c51eb58114ac309f89c6273a17a4be7d3778b323974d068b5e9ed319cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-05T21:35:19Z","title_canon_sha256":"816b144e03f81956991665a60f296a5c0608e2e7348e09ca94d761a5a00bc822"},"schema_version":"1.0","source":{"id":"1605.01763","kind":"arxiv","version":1}},"canonical_sha256":"47ba67dda03007b92983081fd52924cb53945da8210af922529031c7c97bde3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47ba67dda03007b92983081fd52924cb53945da8210af922529031c7c97bde3d","first_computed_at":"2026-05-18T00:59:58.435861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:58.435861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qzxcKdITL7AIEnzFpCY++hYnoin2vOOciZMRF7e5xxGTAcocAMqpbfe1ImV37MkPwxBeMOXiX+lOkwj7SRmqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:58.436337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478b6b00a2db700d1b6f6d64bcfd8ae211c1a9ae2aa79817aa675b81e8708efb","sha256:7136501a40e2ebd656037da2bcdf507f924a6bae561eb278cbd0ad15010c9e42"],"state_sha256":"6b23cc91f4c9ea058c1ee65795d57301e55d7eef8f787844637c2e40a8ecde67"}