{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7RWNJVXSLMZKKAIRD636J353BJ","short_pith_number":"pith:7RWNJVXS","schema_version":"1.0","canonical_sha256":"fc6cd4d6f25b32a501111fb7e4efbb0a73675e9b01fd4ab42c9e26723bda5145","source":{"kind":"arxiv","id":"1411.1772","version":2},"attestation_state":"computed","paper":{"title":"Yukawa Bound States of a Large Number of Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.HE"],"primary_cat":"hep-ph","authors_text":"Mark B. Wise, Yue Zhang","submitted_at":"2014-11-06T21:15:16Z","abstract_excerpt":"We consider the bound state problem for a field theory that contains a Dirac fermion $\\chi$ that Yukawa couples to a (light) scalar field $\\phi$. We are interested in bound states with a large number $N$ of $\\chi$ particles. A Fermi gas model is used to numerically determine the dependence of the radius $R$ of these bound states on $N$ and also the dependence of the binding energy on $N$. Since scalar interactions with relativistic $\\chi$'s are suppressed two regimes emerge. For modest values of $N$ the state is composed of non-relativistic $\\chi$ particles. In this regime as $N$ increases $R$"},"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":"1411.1772","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-06T21:15:16Z","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"title_canon_sha256":"1cf3b8e7ec76af2503563094574c7e603f98ad08c6afc4c0db697667dda47dc5","abstract_canon_sha256":"06f6d67919bc0f2831bd05387024200e6261399e8d0d4da7e203d7d919e272d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:01.109568Z","signature_b64":"M2QCJXyHs3/s1w+MBkS5B5bLWLpq6c69fGapozHMLOs332gvadunp6AcAMlHcVeCt2XtLaNqlgEqHY6THz/bBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc6cd4d6f25b32a501111fb7e4efbb0a73675e9b01fd4ab42c9e26723bda5145","last_reissued_at":"2026-05-18T01:32:01.109143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:01.109143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yukawa Bound States of a Large Number of Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.HE"],"primary_cat":"hep-ph","authors_text":"Mark B. Wise, Yue Zhang","submitted_at":"2014-11-06T21:15:16Z","abstract_excerpt":"We consider the bound state problem for a field theory that contains a Dirac fermion $\\chi$ that Yukawa couples to a (light) scalar field $\\phi$. We are interested in bound states with a large number $N$ of $\\chi$ particles. A Fermi gas model is used to numerically determine the dependence of the radius $R$ of these bound states on $N$ and also the dependence of the binding energy on $N$. Since scalar interactions with relativistic $\\chi$'s are suppressed two regimes emerge. For modest values of $N$ the state is composed of non-relativistic $\\chi$ particles. In this regime as $N$ increases $R$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1772","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":"1411.1772","created_at":"2026-05-18T01:32:01.109200+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.1772v2","created_at":"2026-05-18T01:32:01.109200+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1772","created_at":"2026-05-18T01:32:01.109200+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RWNJVXSLMZK","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RWNJVXSLMZKKAIR","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RWNJVXS","created_at":"2026-05-18T12:28:19.803747+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/7RWNJVXSLMZKKAIRD636J353BJ","json":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ.json","graph_json":"https://pith.science/api/pith-number/7RWNJVXSLMZKKAIRD636J353BJ/graph.json","events_json":"https://pith.science/api/pith-number/7RWNJVXSLMZKKAIRD636J353BJ/events.json","paper":"https://pith.science/paper/7RWNJVXS"},"agent_actions":{"view_html":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ","download_json":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ.json","view_paper":"https://pith.science/paper/7RWNJVXS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.1772&json=true","fetch_graph":"https://pith.science/api/pith-number/7RWNJVXSLMZKKAIRD636J353BJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7RWNJVXSLMZKKAIRD636J353BJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ/action/storage_attestation","attest_author":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ/action/author_attestation","sign_citation":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ/action/citation_signature","submit_replication":"https://pith.science/pith/7RWNJVXSLMZKKAIRD636J353BJ/action/replication_record"}},"created_at":"2026-05-18T01:32:01.109200+00:00","updated_at":"2026-05-18T01:32:01.109200+00:00"}