{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:NJGL7VNYX33DXK3J2BKXDJ5TBT","short_pith_number":"pith:NJGL7VNY","schema_version":"1.0","canonical_sha256":"6a4cbfd5b8bef63bab69d05571a7b30cf74c69b8a7b44ed5a9ef49a435dc121f","source":{"kind":"arxiv","id":"cond-mat/0403175","version":1},"attestation_state":"computed","paper":{"title":"Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Edmond Orignac","submitted_at":"2004-03-05T16:15:06Z","abstract_excerpt":"Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap in a dimerized spin-1/2 chain. This expression is shown to be in good agreement with recent numerical estimates when a marginally irrelevant perturbation is taken into account."},"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/0403175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-03-05T16:15:06Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"59260f4804af9a054aa9a583ded77eb9fbe4162a849342fdc0370a9aceb2393f","abstract_canon_sha256":"f30829528964322164c0843e11b6f500c5a9f672580aba6f924f50e7b7b66182"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:20:56.853270Z","signature_b64":"aQIxUFsqrMZ0TJAUNtOSrzWQ7e1i6+OhBWM3YdECzRdJucSZIl02ShQfDnbn4RT7mKBoYVTxrfmT7vwNOizrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a4cbfd5b8bef63bab69d05571a7b30cf74c69b8a7b44ed5a9ef49a435dc121f","last_reissued_at":"2026-07-04T14:20:56.852855Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:20:56.852855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Edmond Orignac","submitted_at":"2004-03-05T16:15:06Z","abstract_excerpt":"Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap in a dimerized spin-1/2 chain. This expression is shown to be in good agreement with recent numerical estimates when a marginally irrelevant perturbation is taken into account."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0403175","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0403175/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/0403175","created_at":"2026-07-04T14:20:56.852920+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0403175v1","created_at":"2026-07-04T14:20:56.852920+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0403175","created_at":"2026-07-04T14:20:56.852920+00:00"},{"alias_kind":"pith_short_12","alias_value":"NJGL7VNYX33D","created_at":"2026-07-04T14:20:56.852920+00:00"},{"alias_kind":"pith_short_16","alias_value":"NJGL7VNYX33DXK3J","created_at":"2026-07-04T14:20:56.852920+00:00"},{"alias_kind":"pith_short_8","alias_value":"NJGL7VNY","created_at":"2026-07-04T14:20:56.852920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.03629","citing_title":"One dimensional Bose-Hubbard model with long range hopping","ref_index":75,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT","json":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT.json","graph_json":"https://pith.science/api/pith-number/NJGL7VNYX33DXK3J2BKXDJ5TBT/graph.json","events_json":"https://pith.science/api/pith-number/NJGL7VNYX33DXK3J2BKXDJ5TBT/events.json","paper":"https://pith.science/paper/NJGL7VNY"},"agent_actions":{"view_html":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT","download_json":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT.json","view_paper":"https://pith.science/paper/NJGL7VNY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0403175&json=true","fetch_graph":"https://pith.science/api/pith-number/NJGL7VNYX33DXK3J2BKXDJ5TBT/graph.json","fetch_events":"https://pith.science/api/pith-number/NJGL7VNYX33DXK3J2BKXDJ5TBT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT/action/storage_attestation","attest_author":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT/action/author_attestation","sign_citation":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT/action/citation_signature","submit_replication":"https://pith.science/pith/NJGL7VNYX33DXK3J2BKXDJ5TBT/action/replication_record"}},"created_at":"2026-07-04T14:20:56.852920+00:00","updated_at":"2026-07-04T14:20:56.852920+00:00"}