{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:Y3V4FDDFRARO4HFK2W4F52TXG7","short_pith_number":"pith:Y3V4FDDF","schema_version":"1.0","canonical_sha256":"c6ebc28c658822ee1caad5b85eea7737fe5b56151d116217e346800a3eb5bbf3","source":{"kind":"arxiv","id":"0912.1991","version":2},"attestation_state":"computed","paper":{"title":"Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ke-Lin Wang, Qing-Hu Chen, Yu-Yu Zhang","submitted_at":"2009-12-10T13:14:51Z","abstract_excerpt":"We propose a general  extended coherent state approach to the qubit (or fermion) and  multi-mode boson  coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral density is described in detail, and very accurate solutions can be obtained. The quantum phase transition in the nontrivial sub-Ohmic case can be located  by the fidelity and the  order-parameter critical exponents  for the bath exponents $s<1/2$ can be correctly given by the fidelity susceptibility, demonstrating  the strength of the approach."},"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":"0912.1991","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-12-10T13:14:51Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a54fe26d90536f60d93145f8cbd5d157d38f80b1ace95c13eff5a153a02ea925","abstract_canon_sha256":"f837cf825d2bd0cbe251c35932457758fa6b117c0b00743efd324648da169016"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:24.852591Z","signature_b64":"HuYl7YU6y7EZy6Vw1VqoufHmXznb73MjFLZjoLmFES3Rka7/gmC0wkyU/45guyuHgmM6axYXApCpjxkCiAo6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6ebc28c658822ee1caad5b85eea7737fe5b56151d116217e346800a3eb5bbf3","last_reissued_at":"2026-05-18T02:10:24.851492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:24.851492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ke-Lin Wang, Qing-Hu Chen, Yu-Yu Zhang","submitted_at":"2009-12-10T13:14:51Z","abstract_excerpt":"We propose a general  extended coherent state approach to the qubit (or fermion) and  multi-mode boson  coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral density is described in detail, and very accurate solutions can be obtained. The quantum phase transition in the nontrivial sub-Ohmic case can be located  by the fidelity and the  order-parameter critical exponents  for the bath exponents $s<1/2$ can be correctly given by the fidelity susceptibility, demonstrating  the strength of the approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1991","kind":"arxiv","version":2},"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":"0912.1991","created_at":"2026-05-18T02:10:24.851572+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.1991v2","created_at":"2026-05-18T02:10:24.851572+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1991","created_at":"2026-05-18T02:10:24.851572+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3V4FDDFRARO","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3V4FDDFRARO4HFK","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3V4FDDF","created_at":"2026-05-18T12:26:02.257875+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/Y3V4FDDFRARO4HFK2W4F52TXG7","json":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7.json","graph_json":"https://pith.science/api/pith-number/Y3V4FDDFRARO4HFK2W4F52TXG7/graph.json","events_json":"https://pith.science/api/pith-number/Y3V4FDDFRARO4HFK2W4F52TXG7/events.json","paper":"https://pith.science/paper/Y3V4FDDF"},"agent_actions":{"view_html":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7","download_json":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7.json","view_paper":"https://pith.science/paper/Y3V4FDDF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.1991&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3V4FDDFRARO4HFK2W4F52TXG7/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3V4FDDFRARO4HFK2W4F52TXG7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7/action/storage_attestation","attest_author":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7/action/author_attestation","sign_citation":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7/action/citation_signature","submit_replication":"https://pith.science/pith/Y3V4FDDFRARO4HFK2W4F52TXG7/action/replication_record"}},"created_at":"2026-05-18T02:10:24.851572+00:00","updated_at":"2026-05-18T02:10:24.851572+00:00"}