{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:B57WYEDG7XLYHXUAWFAZNHAUT7","short_pith_number":"pith:B57WYEDG","canonical_record":{"source":{"id":"2404.06092","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-04-09T07:50:05Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"cd411efcad40071eaaeb86510a355fa6354bc5799cb8f007166d6eafdd20f27d","abstract_canon_sha256":"0f2091aba1be313f467b0a3fc9832330fbf716c062e54151e05f92a3a8b65053"},"schema_version":"1.0"},"canonical_sha256":"0f7f6c1066fdd783de80b141969c149ffe45137fa9083f3b6f3b41b700640534","source":{"kind":"arxiv","id":"2404.06092","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06092","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06092v3","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06092","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_12","alias_value":"B57WYEDG7XLY","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_16","alias_value":"B57WYEDG7XLYHXUA","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_8","alias_value":"B57WYEDG","created_at":"2026-07-05T08:53:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:B57WYEDG7XLYHXUAWFAZNHAUT7","target":"record","payload":{"canonical_record":{"source":{"id":"2404.06092","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-04-09T07:50:05Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"cd411efcad40071eaaeb86510a355fa6354bc5799cb8f007166d6eafdd20f27d","abstract_canon_sha256":"0f2091aba1be313f467b0a3fc9832330fbf716c062e54151e05f92a3a8b65053"},"schema_version":"1.0"},"canonical_sha256":"0f7f6c1066fdd783de80b141969c149ffe45137fa9083f3b6f3b41b700640534","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:53:21.758529Z","signature_b64":"HowFGEyo/OHGBqtCgkLrNW+O3UukOxLyw0F+w4fj8aFPvJZPsfWfeNENDZN2TetA5ZUlWz6Zv2JJgFp99YLxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f7f6c1066fdd783de80b141969c149ffe45137fa9083f3b6f3b41b700640534","last_reissued_at":"2026-07-05T08:53:21.758061Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:53:21.758061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.06092","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:53:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJq1KRlV4rmIhLuRqtwvHNe4E0/+6cjodM0OXyipVIlUV4B8Bgdvm/r9qATcYkGLBSym770jZ94cFU93sYz4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T12:05:54.975037Z"},"content_sha256":"f09238178123f4c373fccaf8438b22eb10f027e04b1a5514763f2cabce718969","schema_version":"1.0","event_id":"sha256:f09238178123f4c373fccaf8438b22eb10f027e04b1a5514763f2cabce718969"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:B57WYEDG7XLYHXUAWFAZNHAUT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic thermodynamic properties of the Lieb-Liniger gas","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"G. De Rosi, K. V. Kheruntsyan, M. L. Kerr","submitted_at":"2024-04-09T07:50:05Z","abstract_excerpt":"We present a comprehensive review on the state-of-the-art of the approximate analytic approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger model of the one-dimensional (1D) Bose gas with contact repulsive interactions. This paradigmatic model of quantum many-body-theory plays an important role in many areas of physics -- thanks to its integrability and possible experimental realization using, e.g., ensembles of ultracold bosonic atoms confined to quasi-1D geometries. The thermodynamics of the uniform Lieb-Liniger gas can be obtained numerically using the ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06092","kind":"arxiv","version":3},"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/2404.06092/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":"2026-07-05T08:53:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dxWSY+0hoGQwZSnFjaf6EYJhaFPZD3yfVYVpEK2QnDXGz2630PNieanYFSTgKemluyUzIOlPxQV4IsAO9VmqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T12:05:54.975790Z"},"content_sha256":"a10d2eed1b3cc81958461aa741b6fab978f216d8df927028dfb6240582b9812f","schema_version":"1.0","event_id":"sha256:a10d2eed1b3cc81958461aa741b6fab978f216d8df927028dfb6240582b9812f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/bundle.json","state_url":"https://pith.science/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/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":"2026-08-10T12:05:54Z","links":{"resolver":"https://pith.science/pith/B57WYEDG7XLYHXUAWFAZNHAUT7","bundle":"https://pith.science/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/bundle.json","state":"https://pith.science/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B57WYEDG7XLYHXUAWFAZNHAUT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:B57WYEDG7XLYHXUAWFAZNHAUT7","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":"0f2091aba1be313f467b0a3fc9832330fbf716c062e54151e05f92a3a8b65053","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-04-09T07:50:05Z","title_canon_sha256":"cd411efcad40071eaaeb86510a355fa6354bc5799cb8f007166d6eafdd20f27d"},"schema_version":"1.0","source":{"id":"2404.06092","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06092","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06092v3","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06092","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_12","alias_value":"B57WYEDG7XLY","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_16","alias_value":"B57WYEDG7XLYHXUA","created_at":"2026-07-05T08:53:21Z"},{"alias_kind":"pith_short_8","alias_value":"B57WYEDG","created_at":"2026-07-05T08:53:21Z"}],"graph_snapshots":[{"event_id":"sha256:a10d2eed1b3cc81958461aa741b6fab978f216d8df927028dfb6240582b9812f","target":"graph","created_at":"2026-07-05T08:53:21Z","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/2404.06092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a comprehensive review on the state-of-the-art of the approximate analytic approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger model of the one-dimensional (1D) Bose gas with contact repulsive interactions. This paradigmatic model of quantum many-body-theory plays an important role in many areas of physics -- thanks to its integrability and possible experimental realization using, e.g., ensembles of ultracold bosonic atoms confined to quasi-1D geometries. The thermodynamics of the uniform Lieb-Liniger gas can be obtained numerically using the ex","authors_text":"G. De Rosi, K. V. Kheruntsyan, M. L. Kerr","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-04-09T07:50:05Z","title":"Analytic thermodynamic properties of the Lieb-Liniger gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06092","kind":"arxiv","version":3},"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:f09238178123f4c373fccaf8438b22eb10f027e04b1a5514763f2cabce718969","target":"record","created_at":"2026-07-05T08:53:21Z","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":"0f2091aba1be313f467b0a3fc9832330fbf716c062e54151e05f92a3a8b65053","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2024-04-09T07:50:05Z","title_canon_sha256":"cd411efcad40071eaaeb86510a355fa6354bc5799cb8f007166d6eafdd20f27d"},"schema_version":"1.0","source":{"id":"2404.06092","kind":"arxiv","version":3}},"canonical_sha256":"0f7f6c1066fdd783de80b141969c149ffe45137fa9083f3b6f3b41b700640534","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f7f6c1066fdd783de80b141969c149ffe45137fa9083f3b6f3b41b700640534","first_computed_at":"2026-07-05T08:53:21.758061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:53:21.758061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HowFGEyo/OHGBqtCgkLrNW+O3UukOxLyw0F+w4fj8aFPvJZPsfWfeNENDZN2TetA5ZUlWz6Zv2JJgFp99YLxAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:53:21.758529Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.06092","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f09238178123f4c373fccaf8438b22eb10f027e04b1a5514763f2cabce718969","sha256:a10d2eed1b3cc81958461aa741b6fab978f216d8df927028dfb6240582b9812f"],"state_sha256":"892e7c8e65a65674806bd484f8fe172398c6ecfdb78bc148f3e4c3b5d38eb412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Tdlr/CfyPIsG50knYjM/oFWG5V+bDvZpOUwJSkxg//7JhtLsN/ShICn8g0BLLdETTK5BbkBRyaovkVPgcoEDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T12:05:54.980914Z","bundle_sha256":"0039d9bbd3535ff3148f6b2d9fc5af6fa4e430ec67dfb4e152f34ebbfc911641"}}