{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:6AH4IFLDBFOA3PILHGF3HPORKQ","short_pith_number":"pith:6AH4IFLD","schema_version":"1.0","canonical_sha256":"f00fc41563095c0dbd0b398bb3bdd1541d9a50901be96d6a6f1102b444aa6628","source":{"kind":"arxiv","id":"0905.2928","version":3},"attestation_state":"computed","paper":{"title":"Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-th","authors_text":"Avinash Dhar, Gautam Mandal, Spenta R. Wadia","submitted_at":"2009-05-18T19:02:14Z","abstract_excerpt":"We show that a Nambu-Jona-Lasinio type four-fermion coupling at the z=3 Lifshitz-like fixed point in 3+1 dimensions is asymptotically free and generates a mass scale dynamically. This result is nonperturbative in the limit of a large number of fermion species. The theory is ultra-violet complete and at low energies exhibits Lorentz invariance as an emergent spacetime symmetry. Many of our results generalize to z=d in odd d spatial dimensions; z=d=1 corresponds to the Gross-Neveu model. The above mechanism of mass generation has potential applications to the fermion mass problem and to dynamica"},"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":"0905.2928","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-18T19:02:14Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"2ca3e0fdbfa664ff44dbaf98311c06f2bd8234f14d338c1a78f9f54d48858af2","abstract_canon_sha256":"104699ad14513d3df45dbf75423608a7fd98775e758ea54902e1ef2a64663f8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:06.346351Z","signature_b64":"8PKI5eAoMKg9YAPJ906+h4bE3Q70szEntPqzMB+bRzeLr2eelxi+sInTkdonclHykmVqSiUKEoO7FwfKopIPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f00fc41563095c0dbd0b398bb3bdd1541d9a50901be96d6a6f1102b444aa6628","last_reissued_at":"2026-05-18T03:24:06.345858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:06.345858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-th","authors_text":"Avinash Dhar, Gautam Mandal, Spenta R. Wadia","submitted_at":"2009-05-18T19:02:14Z","abstract_excerpt":"We show that a Nambu-Jona-Lasinio type four-fermion coupling at the z=3 Lifshitz-like fixed point in 3+1 dimensions is asymptotically free and generates a mass scale dynamically. This result is nonperturbative in the limit of a large number of fermion species. The theory is ultra-violet complete and at low energies exhibits Lorentz invariance as an emergent spacetime symmetry. Many of our results generalize to z=d in odd d spatial dimensions; z=d=1 corresponds to the Gross-Neveu model. The above mechanism of mass generation has potential applications to the fermion mass problem and to dynamica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2928","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0905.2928","created_at":"2026-05-18T03:24:06.345932+00:00"},{"alias_kind":"arxiv_version","alias_value":"0905.2928v3","created_at":"2026-05-18T03:24:06.345932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2928","created_at":"2026-05-18T03:24:06.345932+00:00"},{"alias_kind":"pith_short_12","alias_value":"6AH4IFLDBFOA","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"6AH4IFLDBFOA3PIL","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"6AH4IFLD","created_at":"2026-05-18T12:25:58.837520+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/6AH4IFLDBFOA3PILHGF3HPORKQ","json":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ.json","graph_json":"https://pith.science/api/pith-number/6AH4IFLDBFOA3PILHGF3HPORKQ/graph.json","events_json":"https://pith.science/api/pith-number/6AH4IFLDBFOA3PILHGF3HPORKQ/events.json","paper":"https://pith.science/paper/6AH4IFLD"},"agent_actions":{"view_html":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ","download_json":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ.json","view_paper":"https://pith.science/paper/6AH4IFLD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0905.2928&json=true","fetch_graph":"https://pith.science/api/pith-number/6AH4IFLDBFOA3PILHGF3HPORKQ/graph.json","fetch_events":"https://pith.science/api/pith-number/6AH4IFLDBFOA3PILHGF3HPORKQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ/action/storage_attestation","attest_author":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ/action/author_attestation","sign_citation":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ/action/citation_signature","submit_replication":"https://pith.science/pith/6AH4IFLDBFOA3PILHGF3HPORKQ/action/replication_record"}},"created_at":"2026-05-18T03:24:06.345932+00:00","updated_at":"2026-05-18T03:24:06.345932+00:00"}