{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:27N2F4E4TE2QM2I4FKYVFSXL2R","short_pith_number":"pith:27N2F4E4","schema_version":"1.0","canonical_sha256":"d7dba2f09c993506691c2ab152caebd46df4f1a4383e927d5c29a0633eccc695","source":{"kind":"arxiv","id":"1105.0028","version":2},"attestation_state":"computed","paper":{"title":"A new field theoretic method for the virial expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"David B. Kaplan, Sichun Sun","submitted_at":"2011-04-29T22:58:24Z","abstract_excerpt":"We develop a graphical method for computing the virial expansion coefficients for a nonrelativistic quantum field theory. As an example we compute the third virial coefficient b3 for unitary fermions, a nonperturbative system. By calculating several graphs and performing an extrapolation, we arrive at b3 =-0.2930, within 0.7% of a recent computation b3 = -0.29095295 by Liu, Hu and Drummond, which involved summing 10,000 energy levels for three unitary fermions in a harmonic trap."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.0028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-29T22:58:24Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"c48dc3cd548614e0fee1e7f02a19bdf34415bbb77fe296424b5a973979cb34c5","abstract_canon_sha256":"845d1d5a7ac6e810fb95832eca8ed0492b690b0579e679fb7b1b4e7d6f90e914"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:05.301910Z","signature_b64":"Gbd0ZfvuP9CnGKld+FdYalOUTU1/ZmIqBqYv19fXgWsDgU8lZjAvCLCkQi9+p81UgsJ7n/n2wJ7zBGhobjdjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7dba2f09c993506691c2ab152caebd46df4f1a4383e927d5c29a0633eccc695","last_reissued_at":"2026-05-18T04:15:05.300827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:05.300827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new field theoretic method for the virial expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"David B. Kaplan, Sichun Sun","submitted_at":"2011-04-29T22:58:24Z","abstract_excerpt":"We develop a graphical method for computing the virial expansion coefficients for a nonrelativistic quantum field theory. As an example we compute the third virial coefficient b3 for unitary fermions, a nonperturbative system. By calculating several graphs and performing an extrapolation, we arrive at b3 =-0.2930, within 0.7% of a recent computation b3 = -0.29095295 by Liu, Hu and Drummond, which involved summing 10,000 energy levels for three unitary fermions in a harmonic trap."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0028","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.0028","created_at":"2026-05-18T04:15:05.300949+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.0028v2","created_at":"2026-05-18T04:15:05.300949+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0028","created_at":"2026-05-18T04:15:05.300949+00:00"},{"alias_kind":"pith_short_12","alias_value":"27N2F4E4TE2Q","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"27N2F4E4TE2QM2I4","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"27N2F4E4","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R","json":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R.json","graph_json":"https://pith.science/api/pith-number/27N2F4E4TE2QM2I4FKYVFSXL2R/graph.json","events_json":"https://pith.science/api/pith-number/27N2F4E4TE2QM2I4FKYVFSXL2R/events.json","paper":"https://pith.science/paper/27N2F4E4"},"agent_actions":{"view_html":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R","download_json":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R.json","view_paper":"https://pith.science/paper/27N2F4E4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.0028&json=true","fetch_graph":"https://pith.science/api/pith-number/27N2F4E4TE2QM2I4FKYVFSXL2R/graph.json","fetch_events":"https://pith.science/api/pith-number/27N2F4E4TE2QM2I4FKYVFSXL2R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R/action/storage_attestation","attest_author":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R/action/author_attestation","sign_citation":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R/action/citation_signature","submit_replication":"https://pith.science/pith/27N2F4E4TE2QM2I4FKYVFSXL2R/action/replication_record"}},"created_at":"2026-05-18T04:15:05.300949+00:00","updated_at":"2026-05-18T04:15:05.300949+00:00"}