{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:CKMISLPIKMJCCO5VNKAZFHK7D2","short_pith_number":"pith:CKMISLPI","canonical_record":{"source":{"id":"0808.0227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-02T04:42:58Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"6b29f75da8c2bd95b518cdada46cd31216400860499f5d5442a61ef1bbde5503","abstract_canon_sha256":"53b5547d3aad9fea2f47730fc62b832e3bbb6ea67f6c1b133679c6299854a7ed"},"schema_version":"1.0"},"canonical_sha256":"1298892de85312213bb56a81929d5f1e87c2f0da8013572232bd4c31d1e12432","source":{"kind":"arxiv","id":"0808.0227","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.0227","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"0808.0227v2","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0227","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"CKMISLPIKMJC","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_16","alias_value":"CKMISLPIKMJCCO5V","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_8","alias_value":"CKMISLPI","created_at":"2026-07-04T15:51:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:CKMISLPIKMJCCO5VNKAZFHK7D2","target":"record","payload":{"canonical_record":{"source":{"id":"0808.0227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-02T04:42:58Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"6b29f75da8c2bd95b518cdada46cd31216400860499f5d5442a61ef1bbde5503","abstract_canon_sha256":"53b5547d3aad9fea2f47730fc62b832e3bbb6ea67f6c1b133679c6299854a7ed"},"schema_version":"1.0"},"canonical_sha256":"1298892de85312213bb56a81929d5f1e87c2f0da8013572232bd4c31d1e12432","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:51:07.746167Z","signature_b64":"V14rjqJT172EBoCaeavymE+E6e/21KAj4oFDtKj7q+EaiSt0Mu5870MU9NpG52oEgEckhSI+K9xgscPadj0xCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1298892de85312213bb56a81929d5f1e87c2f0da8013572232bd4c31d1e12432","last_reissued_at":"2026-07-04T15:51:07.745730Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:51:07.745730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.0227","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONKNmcUqVNRxFlBXUq0WC09i/KnTog5FThorfKSLsej1MzzzHkVhPH1+yPQnp+cnfHUCNFox/s5VAEsgtEnMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:20:40.218166Z"},"content_sha256":"0a871632b03d4d9025060ff82cedab98e908bf5c27d9b5d4905b172ad5d0c1e6","schema_version":"1.0","event_id":"sha256:0a871632b03d4d9025060ff82cedab98e908bf5c27d9b5d4905b172ad5d0c1e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:CKMISLPIKMJCCO5VNKAZFHK7D2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"J. M. Maillet (Phys-Ens), K. K. Kozlowski (Phys-ENS), Lpta), N. A. Slavnov (SMI), N. Kitanine (LPTM), V. Terras (Phys-Ens","submitted_at":"2008-08-02T04:42:58Z","abstract_excerpt":"We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin- spin correlation function of the XXZ Heisenberg spin-1/2 chain (with magnetic field) in the disordered regime as well as to the density-density correlation func- tion of the interacting one-dimensional Bose gas. At leading order, the results confirm the Luttinger liquid and conformal field theory predictions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0227","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0808.0227/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nS+57LrsdGTPqiDT0s/QMhrxEwRdS6VioSpYcp7PXWvdmYtUgjj9o7lpLynpCTSAILu9FTGyi8doAzjJaqrkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:20:40.219180Z"},"content_sha256":"dbfb91b84b2f73ca2eabba326fc68be3c930bf36c2e3a559f3e0ed2a07b231fc","schema_version":"1.0","event_id":"sha256:dbfb91b84b2f73ca2eabba326fc68be3c930bf36c2e3a559f3e0ed2a07b231fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/bundle.json","state_url":"https://pith.science/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/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":"2026-08-17T20:20:40Z","links":{"resolver":"https://pith.science/pith/CKMISLPIKMJCCO5VNKAZFHK7D2","bundle":"https://pith.science/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/bundle.json","state":"https://pith.science/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKMISLPIKMJCCO5VNKAZFHK7D2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:CKMISLPIKMJCCO5VNKAZFHK7D2","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":"53b5547d3aad9fea2f47730fc62b832e3bbb6ea67f6c1b133679c6299854a7ed","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-02T04:42:58Z","title_canon_sha256":"6b29f75da8c2bd95b518cdada46cd31216400860499f5d5442a61ef1bbde5503"},"schema_version":"1.0","source":{"id":"0808.0227","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.0227","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"0808.0227v2","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0227","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"CKMISLPIKMJC","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_16","alias_value":"CKMISLPIKMJCCO5V","created_at":"2026-07-04T15:51:07Z"},{"alias_kind":"pith_short_8","alias_value":"CKMISLPI","created_at":"2026-07-04T15:51:07Z"}],"graph_snapshots":[{"event_id":"sha256:dbfb91b84b2f73ca2eabba326fc68be3c930bf36c2e3a559f3e0ed2a07b231fc","target":"graph","created_at":"2026-07-04T15:51:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0808.0227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin- spin correlation function of the XXZ Heisenberg spin-1/2 chain (with magnetic field) in the disordered regime as well as to the density-density correlation func- tion of the interacting one-dimensional Bose gas. At leading order, the results confirm the Luttinger liquid and conformal field theory predictions.","authors_text":"J. M. Maillet (Phys-Ens), K. K. Kozlowski (Phys-ENS), Lpta), N. A. Slavnov (SMI), N. Kitanine (LPTM), V. Terras (Phys-Ens","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-02T04:42:58Z","title":"Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0227","kind":"arxiv","version":2},"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":"sha256:0a871632b03d4d9025060ff82cedab98e908bf5c27d9b5d4905b172ad5d0c1e6","target":"record","created_at":"2026-07-04T15:51:07Z","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":"53b5547d3aad9fea2f47730fc62b832e3bbb6ea67f6c1b133679c6299854a7ed","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-02T04:42:58Z","title_canon_sha256":"6b29f75da8c2bd95b518cdada46cd31216400860499f5d5442a61ef1bbde5503"},"schema_version":"1.0","source":{"id":"0808.0227","kind":"arxiv","version":2}},"canonical_sha256":"1298892de85312213bb56a81929d5f1e87c2f0da8013572232bd4c31d1e12432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1298892de85312213bb56a81929d5f1e87c2f0da8013572232bd4c31d1e12432","first_computed_at":"2026-07-04T15:51:07.745730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:51:07.745730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V14rjqJT172EBoCaeavymE+E6e/21KAj4oFDtKj7q+EaiSt0Mu5870MU9NpG52oEgEckhSI+K9xgscPadj0xCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:51:07.746167Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.0227","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a871632b03d4d9025060ff82cedab98e908bf5c27d9b5d4905b172ad5d0c1e6","sha256:dbfb91b84b2f73ca2eabba326fc68be3c930bf36c2e3a559f3e0ed2a07b231fc"],"state_sha256":"44b393fb185a8a126e55a203662196a567837116626a3a32fe5aff071bf4f1b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m+OcquD0NG6Z6B1rT8FHpTJ1PdcKFiWJVEzuyiq7CpQCHsc74Q9Gu8W5sE6Kgpq18CXsi2pVR6PpndmHn+dIDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T20:20:40.248191Z","bundle_sha256":"efef23c7d8f36a888c027e00d4db9c66205e05146c2459a1cc03246740e74616"}}