{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:YIS7ROH4RYGQUWG666THY265VY","short_pith_number":"pith:YIS7ROH4","canonical_record":{"source":{"id":"cond-mat/9611049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1996-11-06T22:32:35Z","cross_cats_sorted":[],"title_canon_sha256":"8548fc0bd50df02634af15b421b28069e2012d99173857a5b8bb8780ec8b0ced","abstract_canon_sha256":"efbd1847eb852ec3898d560fc577f8454c5c78879051970013d26274f398953e"},"schema_version":"1.0"},"canonical_sha256":"c225f8b8fc8e0d0a58def7a67c6bddae02bf0559021c7e0e103d70b98fff98ce","source":{"kind":"arxiv","id":"cond-mat/9611049","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9611049","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9611049v1","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9611049","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"pith_short_12","alias_value":"YIS7ROH4RYGQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"YIS7ROH4RYGQUWG6","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"YIS7ROH4","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:YIS7ROH4RYGQUWG666THY265VY","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9611049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1996-11-06T22:32:35Z","cross_cats_sorted":[],"title_canon_sha256":"8548fc0bd50df02634af15b421b28069e2012d99173857a5b8bb8780ec8b0ced","abstract_canon_sha256":"efbd1847eb852ec3898d560fc577f8454c5c78879051970013d26274f398953e"},"schema_version":"1.0"},"canonical_sha256":"c225f8b8fc8e0d0a58def7a67c6bddae02bf0559021c7e0e103d70b98fff98ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:09.108034Z","signature_b64":"dMHc0/UPFm2ewfNyyyrRMpF3jy66ODDZ9qID0kJZT0U+1a5Tl4/XvJX0YsnmcJKjAN7sENlTHztWQ2WDP5DWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c225f8b8fc8e0d0a58def7a67c6bddae02bf0559021c7e0e103d70b98fff98ce","last_reissued_at":"2026-05-18T01:07:09.107612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:09.107612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9611049","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOOCo0MmfuO9q53I4+7bBGPZ3274YYo6fupuTm0ZA/HPQfQfMICUvCstIkaYbF2NgVykQfKhLKQ1wAw9tS84Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:57:24.058185Z"},"content_sha256":"9bcc2c44763fb7acf61e19440ca9c020522c6cceb08911425be5a535e0e53219","schema_version":"1.0","event_id":"sha256:9bcc2c44763fb7acf61e19440ca9c020522c6cceb08911425be5a535e0e53219"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:YIS7ROH4RYGQUWG666THY265VY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incommensurate nodes in the energy spectrum of weakly coupled antiferromagnetic Heisenberg ladders","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"A. Benyoussef (Rabat), B. Dumoulin (Sherbrooke), M. Azzouz","submitted_at":"1996-11-06T22:32:35Z","abstract_excerpt":"Heisenberg ladders are investigated using the bond-mean-field theory [M.Azzouz, Phys. Rev. B 48, 6136 (1993)]. The zero inter-ladder coupling energy gap, the uniform spin susceptibility and the nuclear magnetic resonance spin-relaxation rate are calculated as a function of temperature and magnetic field. For weakly coupled ladders, the energy spectrum vanishes at incommensurate wavevectors giving rise to nodes. As a consequence, the spin susceptibility becomes linear at low temperature. Our results for the single ladder successfully compare to experiments on SrCu_2O_3 and (VO)_2P_2O_7 material"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9611049","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vpt0ehs9BUqgHkd6fpPT5ICscd1AfCbrMylTRlyOVuFslZB1oHUufUx1E6x1TcnLIWonLtuSl1cjLLLuwHMRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:57:24.058542Z"},"content_sha256":"c3ee052231af3348545cd9ec3d65c1f155d26d32aeb6308655225d529f159488","schema_version":"1.0","event_id":"sha256:c3ee052231af3348545cd9ec3d65c1f155d26d32aeb6308655225d529f159488"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YIS7ROH4RYGQUWG666THY265VY/bundle.json","state_url":"https://pith.science/pith/YIS7ROH4RYGQUWG666THY265VY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YIS7ROH4RYGQUWG666THY265VY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T11:57:24Z","links":{"resolver":"https://pith.science/pith/YIS7ROH4RYGQUWG666THY265VY","bundle":"https://pith.science/pith/YIS7ROH4RYGQUWG666THY265VY/bundle.json","state":"https://pith.science/pith/YIS7ROH4RYGQUWG666THY265VY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YIS7ROH4RYGQUWG666THY265VY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:YIS7ROH4RYGQUWG666THY265VY","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":"efbd1847eb852ec3898d560fc577f8454c5c78879051970013d26274f398953e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-11-06T22:32:35Z","title_canon_sha256":"8548fc0bd50df02634af15b421b28069e2012d99173857a5b8bb8780ec8b0ced"},"schema_version":"1.0","source":{"id":"cond-mat/9611049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9611049","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9611049v1","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9611049","created_at":"2026-05-18T01:07:09Z"},{"alias_kind":"pith_short_12","alias_value":"YIS7ROH4RYGQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"YIS7ROH4RYGQUWG6","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"YIS7ROH4","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:c3ee052231af3348545cd9ec3d65c1f155d26d32aeb6308655225d529f159488","target":"graph","created_at":"2026-05-18T01:07:09Z","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":"Heisenberg ladders are investigated using the bond-mean-field theory [M.Azzouz, Phys. Rev. B 48, 6136 (1993)]. The zero inter-ladder coupling energy gap, the uniform spin susceptibility and the nuclear magnetic resonance spin-relaxation rate are calculated as a function of temperature and magnetic field. For weakly coupled ladders, the energy spectrum vanishes at incommensurate wavevectors giving rise to nodes. As a consequence, the spin susceptibility becomes linear at low temperature. Our results for the single ladder successfully compare to experiments on SrCu_2O_3 and (VO)_2P_2O_7 material","authors_text":"A. Benyoussef (Rabat), B. Dumoulin (Sherbrooke), M. Azzouz","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1996-11-06T22:32:35Z","title":"Incommensurate nodes in the energy spectrum of weakly coupled antiferromagnetic Heisenberg ladders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9611049","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":"sha256:9bcc2c44763fb7acf61e19440ca9c020522c6cceb08911425be5a535e0e53219","target":"record","created_at":"2026-05-18T01:07:09Z","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":"efbd1847eb852ec3898d560fc577f8454c5c78879051970013d26274f398953e","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1996-11-06T22:32:35Z","title_canon_sha256":"8548fc0bd50df02634af15b421b28069e2012d99173857a5b8bb8780ec8b0ced"},"schema_version":"1.0","source":{"id":"cond-mat/9611049","kind":"arxiv","version":1}},"canonical_sha256":"c225f8b8fc8e0d0a58def7a67c6bddae02bf0559021c7e0e103d70b98fff98ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c225f8b8fc8e0d0a58def7a67c6bddae02bf0559021c7e0e103d70b98fff98ce","first_computed_at":"2026-05-18T01:07:09.107612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:09.107612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dMHc0/UPFm2ewfNyyyrRMpF3jy66ODDZ9qID0kJZT0U+1a5Tl4/XvJX0YsnmcJKjAN7sENlTHztWQ2WDP5DWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:09.108034Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9611049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bcc2c44763fb7acf61e19440ca9c020522c6cceb08911425be5a535e0e53219","sha256:c3ee052231af3348545cd9ec3d65c1f155d26d32aeb6308655225d529f159488"],"state_sha256":"66067597b85037c7fce4c7863da6e3c6dba744ac6346ea073db33d967b84c00a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qkafFmvwHZ9ihNKWmyoYWEw7rYISQLRuqELkUai7bFmpkGsYq6HQUzKW+UyYzsQNjTgLmKibtjdzF3NuoNc7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T11:57:24.060448Z","bundle_sha256":"de90d2fb610d3b3b8294093205618118c15fa86cc9076cc37155abdb277ef928"}}