{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:AYRK4MN4STPH6LPPSLFSART2JD","short_pith_number":"pith:AYRK4MN4","schema_version":"1.0","canonical_sha256":"0622ae31bc94de7f2def92cb20467a48e30e93739244bfd63a959ec257dbf45d","source":{"kind":"arxiv","id":"cond-mat/0612420","version":1},"attestation_state":"computed","paper":{"title":"Effect of long range connections on an infinite randomness fixed point associated with the quantum phase transitions in a transverse Ising model","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Amit Dutta, R. Loganayagam","submitted_at":"2006-12-16T06:27:44Z","abstract_excerpt":"We study the effect of long-range connections on the infinite-randomness fixed point associated with the quantum phase transitions in a transverse Ising model (TIM). The TIM resides on a long-range connected lattice where any two sites at a distance r are connected with a non-random ferromagnetic bond with a probability that falls algebraically with the distance between the sites as 1/r^{d+\\sigma}. The interplay of the fluctuations due to dilutions together with the quantum fluctuations due to the transverse field leads to an interesting critical behaviour. The exponents at the critical fixed "},"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":"cond-mat/0612420","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-12-16T06:27:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b0cb882793a56edd4939648879b79252c7619020e414ce2b04e619a20a40c5b3","abstract_canon_sha256":"4179c4d062c17e2b975d928291913265acc53d9247029b5c99372966a54efc28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:38.751134Z","signature_b64":"PVG/pXYku9EKnaBmUtobspXX534cMwnZp2c20fHP/rBN2P1+daRdlZ1iFTvG94Wwb1L+plevqfqeigQurjFfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0622ae31bc94de7f2def92cb20467a48e30e93739244bfd63a959ec257dbf45d","last_reissued_at":"2026-05-18T01:39:38.750405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:38.750405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of long range connections on an infinite randomness fixed point associated with the quantum phase transitions in a transverse Ising model","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Amit Dutta, R. Loganayagam","submitted_at":"2006-12-16T06:27:44Z","abstract_excerpt":"We study the effect of long-range connections on the infinite-randomness fixed point associated with the quantum phase transitions in a transverse Ising model (TIM). The TIM resides on a long-range connected lattice where any two sites at a distance r are connected with a non-random ferromagnetic bond with a probability that falls algebraically with the distance between the sites as 1/r^{d+\\sigma}. The interplay of the fluctuations due to dilutions together with the quantum fluctuations due to the transverse field leads to an interesting critical behaviour. The exponents at the critical fixed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0612420","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":"cond-mat/0612420","created_at":"2026-05-18T01:39:38.750527+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0612420v1","created_at":"2026-05-18T01:39:38.750527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0612420","created_at":"2026-05-18T01:39:38.750527+00:00"},{"alias_kind":"pith_short_12","alias_value":"AYRK4MN4STPH","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"AYRK4MN4STPH6LPP","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"AYRK4MN4","created_at":"2026-05-18T12:25:53.939244+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/AYRK4MN4STPH6LPPSLFSART2JD","json":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD.json","graph_json":"https://pith.science/api/pith-number/AYRK4MN4STPH6LPPSLFSART2JD/graph.json","events_json":"https://pith.science/api/pith-number/AYRK4MN4STPH6LPPSLFSART2JD/events.json","paper":"https://pith.science/paper/AYRK4MN4"},"agent_actions":{"view_html":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD","download_json":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD.json","view_paper":"https://pith.science/paper/AYRK4MN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0612420&json=true","fetch_graph":"https://pith.science/api/pith-number/AYRK4MN4STPH6LPPSLFSART2JD/graph.json","fetch_events":"https://pith.science/api/pith-number/AYRK4MN4STPH6LPPSLFSART2JD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD/action/storage_attestation","attest_author":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD/action/author_attestation","sign_citation":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD/action/citation_signature","submit_replication":"https://pith.science/pith/AYRK4MN4STPH6LPPSLFSART2JD/action/replication_record"}},"created_at":"2026-05-18T01:39:38.750527+00:00","updated_at":"2026-05-18T01:39:38.750527+00:00"}