{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:J2SWNATFKKYC7NPH4IPXZEU57X","short_pith_number":"pith:J2SWNATF","canonical_record":{"source":{"id":"1007.0792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-06T01:36:57Z","cross_cats_sorted":[],"title_canon_sha256":"5005e8ea1ecb6f7d5e7a3c5b202dbae2005dfc75cdbe45b9e5e0817c9ac8c01c","abstract_canon_sha256":"835dceed7e367e415d9e8df4d70afe2465d1fac38aedec4777575665967c30e4"},"schema_version":"1.0"},"canonical_sha256":"4ea566826552b02fb5e7e21f7c929dfdd8171079562c1d24a601bff79eede502","source":{"kind":"arxiv","id":"1007.0792","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0792","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0792v1","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0792","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"pith_short_12","alias_value":"J2SWNATFKKYC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"J2SWNATFKKYC7NPH","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"J2SWNATF","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:J2SWNATFKKYC7NPH4IPXZEU57X","target":"record","payload":{"canonical_record":{"source":{"id":"1007.0792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-06T01:36:57Z","cross_cats_sorted":[],"title_canon_sha256":"5005e8ea1ecb6f7d5e7a3c5b202dbae2005dfc75cdbe45b9e5e0817c9ac8c01c","abstract_canon_sha256":"835dceed7e367e415d9e8df4d70afe2465d1fac38aedec4777575665967c30e4"},"schema_version":"1.0"},"canonical_sha256":"4ea566826552b02fb5e7e21f7c929dfdd8171079562c1d24a601bff79eede502","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:27.217023Z","signature_b64":"QE25qdBvEfXdaxYoF5peprvBQiRVLms2UKoy1eLyLf/nZnX07Ys2lsKV0akmYPZMArA76ChOQMFTuejdYYmeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ea566826552b02fb5e7e21f7c929dfdd8171079562c1d24a601bff79eede502","last_reissued_at":"2026-05-18T04:41:27.216471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:27.216471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.0792","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":"2026-05-18T04:41:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TtXyfZdKdr6MhfTU0MFoXpAnNHX4RtOJnLze62jQB2VRwyaoWYDO3tbFYtF9Ug2Yk4HhU8zJFhVFt4OvcB93Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:33:08.038701Z"},"content_sha256":"861d6f0370b2b25e3c86af29851be290d6b85caefbc5c72c71f0adfd5a862e45","schema_version":"1.0","event_id":"sha256:861d6f0370b2b25e3c86af29851be290d6b85caefbc5c72c71f0adfd5a862e45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:J2SWNATFKKYC7NPH4IPXZEU57X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact few-body results for strongly correlated quantum gases in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Hui Hu, Peter D. Drummond, Xia-Ji Liu","submitted_at":"2010-07-06T01:36:57Z","abstract_excerpt":"The study of strongly correlated quantum gases in two dimensions has important ramifications for understanding many intriguing pheomena in solid materials, such as high-$T_{c}$ superconductivity and the fractional quantum Hall effect. However, theoretical methods are plagued by the existence of significant quantum fluctuations. Here, we present two- and three-body exact solutions for both fermions and bosons trapped in a two-dimensional harmonic potential, with an arbitrary $s$-wave scattering length. These few-particle solutions link in a natural way to the high-temperature properties of many"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0792","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":"2026-05-18T04:41:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y8PMrBb6tY2AWvQsBL4SofgdglUNFAAnGvmY1kkPr63GaAds6jFQ/PnU5oD8qu79ZnBDI7cTHHDoCBhxKFU3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:33:08.039042Z"},"content_sha256":"e491c0f19b20cb07f322a411aad0b660554637f18578ce5a748a6236e5129aa0","schema_version":"1.0","event_id":"sha256:e491c0f19b20cb07f322a411aad0b660554637f18578ce5a748a6236e5129aa0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2SWNATFKKYC7NPH4IPXZEU57X/bundle.json","state_url":"https://pith.science/pith/J2SWNATFKKYC7NPH4IPXZEU57X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2SWNATFKKYC7NPH4IPXZEU57X/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":"2026-06-03T15:33:08Z","links":{"resolver":"https://pith.science/pith/J2SWNATFKKYC7NPH4IPXZEU57X","bundle":"https://pith.science/pith/J2SWNATFKKYC7NPH4IPXZEU57X/bundle.json","state":"https://pith.science/pith/J2SWNATFKKYC7NPH4IPXZEU57X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2SWNATFKKYC7NPH4IPXZEU57X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:J2SWNATFKKYC7NPH4IPXZEU57X","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":"835dceed7e367e415d9e8df4d70afe2465d1fac38aedec4777575665967c30e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-06T01:36:57Z","title_canon_sha256":"5005e8ea1ecb6f7d5e7a3c5b202dbae2005dfc75cdbe45b9e5e0817c9ac8c01c"},"schema_version":"1.0","source":{"id":"1007.0792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0792","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0792v1","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0792","created_at":"2026-05-18T04:41:27Z"},{"alias_kind":"pith_short_12","alias_value":"J2SWNATFKKYC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"J2SWNATFKKYC7NPH","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"J2SWNATF","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:e491c0f19b20cb07f322a411aad0b660554637f18578ce5a748a6236e5129aa0","target":"graph","created_at":"2026-05-18T04:41:27Z","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":"The study of strongly correlated quantum gases in two dimensions has important ramifications for understanding many intriguing pheomena in solid materials, such as high-$T_{c}$ superconductivity and the fractional quantum Hall effect. However, theoretical methods are plagued by the existence of significant quantum fluctuations. Here, we present two- and three-body exact solutions for both fermions and bosons trapped in a two-dimensional harmonic potential, with an arbitrary $s$-wave scattering length. These few-particle solutions link in a natural way to the high-temperature properties of many","authors_text":"Hui Hu, Peter D. Drummond, Xia-Ji Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-06T01:36:57Z","title":"Exact few-body results for strongly correlated quantum gases in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0792","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":"sha256:861d6f0370b2b25e3c86af29851be290d6b85caefbc5c72c71f0adfd5a862e45","target":"record","created_at":"2026-05-18T04:41:27Z","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":"835dceed7e367e415d9e8df4d70afe2465d1fac38aedec4777575665967c30e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-06T01:36:57Z","title_canon_sha256":"5005e8ea1ecb6f7d5e7a3c5b202dbae2005dfc75cdbe45b9e5e0817c9ac8c01c"},"schema_version":"1.0","source":{"id":"1007.0792","kind":"arxiv","version":1}},"canonical_sha256":"4ea566826552b02fb5e7e21f7c929dfdd8171079562c1d24a601bff79eede502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ea566826552b02fb5e7e21f7c929dfdd8171079562c1d24a601bff79eede502","first_computed_at":"2026-05-18T04:41:27.216471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:27.216471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QE25qdBvEfXdaxYoF5peprvBQiRVLms2UKoy1eLyLf/nZnX07Ys2lsKV0akmYPZMArA76ChOQMFTuejdYYmeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:27.217023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:861d6f0370b2b25e3c86af29851be290d6b85caefbc5c72c71f0adfd5a862e45","sha256:e491c0f19b20cb07f322a411aad0b660554637f18578ce5a748a6236e5129aa0"],"state_sha256":"8f93ba99030aedcfce2b83eb741bbf2165121b7b2f83c5a3d722278139f34f8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OQ1+ABh7F7XJz8BHQmtFpWOaM58as4nant7AuAAiW9GHl+9a8eW0dORzSbb0UpiUrn8fEyAuZMPbWJS4enpICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:33:08.040954Z","bundle_sha256":"60a01570f61034e66c861c0d880f9e58162a2dfc9412834fe1c9061439dbae7a"}}