{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:B324F3GWPQP5DF24KDYEPOVR2Z","short_pith_number":"pith:B324F3GW","schema_version":"1.0","canonical_sha256":"0ef5c2ecd67c1fd1975c50f047bab1d67dbce2496be324f644b219127e62670f","source":{"kind":"arxiv","id":"1008.2779","version":1},"attestation_state":"computed","paper":{"title":"A Symmetric Approach to the Massive Nonlinear Sigma Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ruggero Ferrari","submitted_at":"2010-08-16T21:44:58Z","abstract_excerpt":"In the present paper we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D=4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter \\Lambda. Fermions are not considered in the present work. SU(2) X SU(2) is the group used."},"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":"1008.2779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T21:44:58Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"03c66e1a8dedf8d94808efa6a7c96ea5afcadb7a472b8dd2961404df1b703dbe","abstract_canon_sha256":"dd1feee27b4030852ea948baa024ab86e6826576d00e9794e065f55b5274f0f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:47.694472Z","signature_b64":"pqQUHLHi24ZcTIdlinXUNwsQ0NN+bVYXDxVc+eRH0Niv5H47GSA0cacA5bn36kO59m8qKP1W9y5G/EQbs/TeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ef5c2ecd67c1fd1975c50f047bab1d67dbce2496be324f644b219127e62670f","last_reissued_at":"2026-05-18T02:05:47.693749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:47.693749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Symmetric Approach to the Massive Nonlinear Sigma Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ruggero Ferrari","submitted_at":"2010-08-16T21:44:58Z","abstract_excerpt":"In the present paper we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D=4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter \\Lambda. Fermions are not considered in the present work. SU(2) X SU(2) is the group used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2779","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.2779","created_at":"2026-05-18T02:05:47.693851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2779v1","created_at":"2026-05-18T02:05:47.693851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2779","created_at":"2026-05-18T02:05:47.693851+00:00"},{"alias_kind":"pith_short_12","alias_value":"B324F3GWPQP5","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"B324F3GWPQP5DF24","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"B324F3GW","created_at":"2026-05-18T12:26:05.355336+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/B324F3GWPQP5DF24KDYEPOVR2Z","json":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z.json","graph_json":"https://pith.science/api/pith-number/B324F3GWPQP5DF24KDYEPOVR2Z/graph.json","events_json":"https://pith.science/api/pith-number/B324F3GWPQP5DF24KDYEPOVR2Z/events.json","paper":"https://pith.science/paper/B324F3GW"},"agent_actions":{"view_html":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z","download_json":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z.json","view_paper":"https://pith.science/paper/B324F3GW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2779&json=true","fetch_graph":"https://pith.science/api/pith-number/B324F3GWPQP5DF24KDYEPOVR2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/B324F3GWPQP5DF24KDYEPOVR2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z/action/storage_attestation","attest_author":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z/action/author_attestation","sign_citation":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z/action/citation_signature","submit_replication":"https://pith.science/pith/B324F3GWPQP5DF24KDYEPOVR2Z/action/replication_record"}},"created_at":"2026-05-18T02:05:47.693851+00:00","updated_at":"2026-05-18T02:05:47.693851+00:00"}