{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NJUUDBPOGO2M4ZGKN3VTAW753U","short_pith_number":"pith:NJUUDBPO","canonical_record":{"source":{"id":"1101.5594","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-28T18:04:09Z","cross_cats_sorted":[],"title_canon_sha256":"14ae3e614eadb17a83aec4bf8a15a47b91fef2d65e4dd3ec9999f875c4323d1f","abstract_canon_sha256":"7e834e5eb5b36c6f1c5d9aa76245d6b4c8c7bbef86978402f9dd4b9043558694"},"schema_version":"1.0"},"canonical_sha256":"6a694185ee33b4ce64ca6eeb305bfddd24be44fbfa656f3942e0a78859612208","source":{"kind":"arxiv","id":"1101.5594","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5594","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5594v3","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5594","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"NJUUDBPOGO2M","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NJUUDBPOGO2M4ZGK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NJUUDBPO","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NJUUDBPOGO2M4ZGKN3VTAW753U","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5594","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-28T18:04:09Z","cross_cats_sorted":[],"title_canon_sha256":"14ae3e614eadb17a83aec4bf8a15a47b91fef2d65e4dd3ec9999f875c4323d1f","abstract_canon_sha256":"7e834e5eb5b36c6f1c5d9aa76245d6b4c8c7bbef86978402f9dd4b9043558694"},"schema_version":"1.0"},"canonical_sha256":"6a694185ee33b4ce64ca6eeb305bfddd24be44fbfa656f3942e0a78859612208","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:00.651790Z","signature_b64":"yhiz5JkYqH5GMI64z38//XTTO51z6ebrRrUVZsz6uHJT/GHcrYQFchj3HieXwxUqqmGo3m0s2ois5U8thkQsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a694185ee33b4ce64ca6eeb305bfddd24be44fbfa656f3942e0a78859612208","last_reissued_at":"2026-05-18T04:12:00.651346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:00.651346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5594","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":"2026-05-18T04:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0a+WgBQeCRC1qcTNcTWxyCSOwz+i1e0IEUS/KjiDPyXqiTsx8TJXDLMP6Elokl6wRqtLbF+SwMKXUJ4PkDL+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:35:59.422434Z"},"content_sha256":"09c3fa68317c2ae207eda10b5eb0218b36b2e78cc2ea50e270ac0fb7e289ab14","schema_version":"1.0","event_id":"sha256:09c3fa68317c2ae207eda10b5eb0218b36b2e78cc2ea50e270ac0fb7e289ab14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NJUUDBPOGO2M4ZGKN3VTAW753U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tan relations in one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Marcus Barth, Wilhelm Zwerger","submitted_at":"2011-01-28T18:04:09Z","abstract_excerpt":"We derive exact relations that connect the universal $C/k^4$-decay of the momentum distribution at large $k$ with both thermodynamic properties and correlation functions of two-component Fermi gases in one dimension with contact interactions. The relations are analogous to those obtained by Tan in the three-dimensional case and are derived from an operator product expansion of the one- and two-particle density matrix. They extend earlier results by Olshanii and Dunjko [Phys. Rev. Lett. 91, 090401 (2003)] for the bosonic Lieb-Liniger gas. As an application, we calculate the pair distribution fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5594","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":""},"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":"2026-05-18T04:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8N21ExcB7SDp3UHHZXbe4+kd9jUPk9HMf3v9M+M8SCjLlgHlMR1iVcLXjvyWOL7AJjzGURZVqV8+Bmp7lMOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:35:59.422776Z"},"content_sha256":"72fcb53bf9b7a46e3e13ed93d549c8c2ea543808978003668032645b97fb317f","schema_version":"1.0","event_id":"sha256:72fcb53bf9b7a46e3e13ed93d549c8c2ea543808978003668032645b97fb317f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/bundle.json","state_url":"https://pith.science/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/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":"2026-05-30T04:35:59Z","links":{"resolver":"https://pith.science/pith/NJUUDBPOGO2M4ZGKN3VTAW753U","bundle":"https://pith.science/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/bundle.json","state":"https://pith.science/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJUUDBPOGO2M4ZGKN3VTAW753U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NJUUDBPOGO2M4ZGKN3VTAW753U","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":"7e834e5eb5b36c6f1c5d9aa76245d6b4c8c7bbef86978402f9dd4b9043558694","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-28T18:04:09Z","title_canon_sha256":"14ae3e614eadb17a83aec4bf8a15a47b91fef2d65e4dd3ec9999f875c4323d1f"},"schema_version":"1.0","source":{"id":"1101.5594","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5594","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5594v3","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5594","created_at":"2026-05-18T04:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"NJUUDBPOGO2M","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NJUUDBPOGO2M4ZGK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NJUUDBPO","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:72fcb53bf9b7a46e3e13ed93d549c8c2ea543808978003668032645b97fb317f","target":"graph","created_at":"2026-05-18T04:12:00Z","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":"We derive exact relations that connect the universal $C/k^4$-decay of the momentum distribution at large $k$ with both thermodynamic properties and correlation functions of two-component Fermi gases in one dimension with contact interactions. The relations are analogous to those obtained by Tan in the three-dimensional case and are derived from an operator product expansion of the one- and two-particle density matrix. They extend earlier results by Olshanii and Dunjko [Phys. Rev. Lett. 91, 090401 (2003)] for the bosonic Lieb-Liniger gas. As an application, we calculate the pair distribution fu","authors_text":"Marcus Barth, Wilhelm Zwerger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-28T18:04:09Z","title":"Tan relations in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5594","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":"sha256:09c3fa68317c2ae207eda10b5eb0218b36b2e78cc2ea50e270ac0fb7e289ab14","target":"record","created_at":"2026-05-18T04:12:00Z","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":"7e834e5eb5b36c6f1c5d9aa76245d6b4c8c7bbef86978402f9dd4b9043558694","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-28T18:04:09Z","title_canon_sha256":"14ae3e614eadb17a83aec4bf8a15a47b91fef2d65e4dd3ec9999f875c4323d1f"},"schema_version":"1.0","source":{"id":"1101.5594","kind":"arxiv","version":3}},"canonical_sha256":"6a694185ee33b4ce64ca6eeb305bfddd24be44fbfa656f3942e0a78859612208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a694185ee33b4ce64ca6eeb305bfddd24be44fbfa656f3942e0a78859612208","first_computed_at":"2026-05-18T04:12:00.651346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:00.651346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yhiz5JkYqH5GMI64z38//XTTO51z6ebrRrUVZsz6uHJT/GHcrYQFchj3HieXwxUqqmGo3m0s2ois5U8thkQsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:00.651790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5594","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09c3fa68317c2ae207eda10b5eb0218b36b2e78cc2ea50e270ac0fb7e289ab14","sha256:72fcb53bf9b7a46e3e13ed93d549c8c2ea543808978003668032645b97fb317f"],"state_sha256":"37eb7c0090289f38bcb0aadeac2b36473cabb585dd9d21487e2078d2cd9469cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcHli6H25YMzcSD5MHvulXz5cALqlNLMKEczK/KqaJkNCwoMayLiiMiV3k6JunNEAQcMatLHr2c4GvdP5xnoCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:35:59.424711Z","bundle_sha256":"d78454d24939d4b47750d2340613bfe008648082cb1a2695dcef9a1eb24260d8"}}