{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4FZOGKEQVMN7OYUH75BNYLMFT4","short_pith_number":"pith:4FZOGKEQ","schema_version":"1.0","canonical_sha256":"e172e32890ab1bf76287ff42dc2d859f1c337764f87e066719e7a9305f01dc22","source":{"kind":"arxiv","id":"1203.4599","version":1},"attestation_state":"computed","paper":{"title":"Level statistics for quantum $k$-core percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"J. M. Schwarz, L. Cao","submitted_at":"2012-03-20T21:32:47Z","abstract_excerpt":"Quantum $k$-core percolation is the study of quantum transport on $k$-core percolation clusters where each occupied bond must have at least $k$ occupied neighboring bonds. As the bond occupation probability, $p$, is increased from zero to unity, the system undergoes a transition from an insulating phase to a metallic phase. When the lengthscale for the disorder, $l_d$, is much greater than the coherence length, $l_c$, earlier analytical calculations of quantum conduction on the Bethe lattice demonstrate that for $k=3$ the metal-insulator transition (MIT) is discontinuous, suggesting a new univ"},"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":"1203.4599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-03-20T21:32:47Z","cross_cats_sorted":[],"title_canon_sha256":"ce16462c6d552f0005413fdc2bd184eab0713a3a86c37cc893961ac6ba96d198","abstract_canon_sha256":"d985497e932aa84a4e564f53c768eea408acb4cf430ad9978d45c540a5b1f73a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:05.212015Z","signature_b64":"8IN+gVCTLjLi6DNWbYa2LcP35mCCvuddwitbYnDIhqbfCDeG85QOJTBuptbFZPmyC1LkqTIcKpwrLrvTzDr9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e172e32890ab1bf76287ff42dc2d859f1c337764f87e066719e7a9305f01dc22","last_reissued_at":"2026-05-18T01:58:05.211374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:05.211374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Level statistics for quantum $k$-core percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"J. M. Schwarz, L. Cao","submitted_at":"2012-03-20T21:32:47Z","abstract_excerpt":"Quantum $k$-core percolation is the study of quantum transport on $k$-core percolation clusters where each occupied bond must have at least $k$ occupied neighboring bonds. As the bond occupation probability, $p$, is increased from zero to unity, the system undergoes a transition from an insulating phase to a metallic phase. When the lengthscale for the disorder, $l_d$, is much greater than the coherence length, $l_c$, earlier analytical calculations of quantum conduction on the Bethe lattice demonstrate that for $k=3$ the metal-insulator transition (MIT) is discontinuous, suggesting a new univ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4599","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":"1203.4599","created_at":"2026-05-18T01:58:05.211485+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.4599v1","created_at":"2026-05-18T01:58:05.211485+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4599","created_at":"2026-05-18T01:58:05.211485+00:00"},{"alias_kind":"pith_short_12","alias_value":"4FZOGKEQVMN7","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4FZOGKEQVMN7OYUH","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4FZOGKEQ","created_at":"2026-05-18T12:26:53.410803+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/4FZOGKEQVMN7OYUH75BNYLMFT4","json":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4.json","graph_json":"https://pith.science/api/pith-number/4FZOGKEQVMN7OYUH75BNYLMFT4/graph.json","events_json":"https://pith.science/api/pith-number/4FZOGKEQVMN7OYUH75BNYLMFT4/events.json","paper":"https://pith.science/paper/4FZOGKEQ"},"agent_actions":{"view_html":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4","download_json":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4.json","view_paper":"https://pith.science/paper/4FZOGKEQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.4599&json=true","fetch_graph":"https://pith.science/api/pith-number/4FZOGKEQVMN7OYUH75BNYLMFT4/graph.json","fetch_events":"https://pith.science/api/pith-number/4FZOGKEQVMN7OYUH75BNYLMFT4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4/action/storage_attestation","attest_author":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4/action/author_attestation","sign_citation":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4/action/citation_signature","submit_replication":"https://pith.science/pith/4FZOGKEQVMN7OYUH75BNYLMFT4/action/replication_record"}},"created_at":"2026-05-18T01:58:05.211485+00:00","updated_at":"2026-05-18T01:58:05.211485+00:00"}