{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:CFHKKHZEKD3A6XR733Y5HN2THZ","short_pith_number":"pith:CFHKKHZE","schema_version":"1.0","canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","source":{"kind":"arxiv","id":"0705.2948","version":2},"attestation_state":"computed","paper":{"title":"Chiral Perturbation Theory with tensor sources","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Oscar Cata, Vicent Mateu","submitted_at":"2007-05-21T10:32:31Z","abstract_excerpt":"We construct the most general chirally-invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current \\bar{\\psi}\\sigma_{\\mu\\nu}\\psi. In order to have only even terms in the chiral expansion, we consider the new source of O(p^2). With this choice, we build the even-parity effective Lagrangian up to the p^6-order (NLO). While there are only 4 new terms at the p^4-order, at p^6-order we find 78 terms for n_f=2 and 113 terms for n_f=3. We provide a detailed discussion on the different mechanisms that ensure that our final set of operators is complete and non-redu"},"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":"0705.2948","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-21T10:32:31Z","cross_cats_sorted":[],"title_canon_sha256":"93504c694c75b3305412a64f03b98120351060e71cf854bb52b5f8538c149cab","abstract_canon_sha256":"fbf535f465377ea5e7e527c4c7d8654e309a8b5a2406932ae76bbef1a3d75818"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:13.675419Z","signature_b64":"tz1s4Y5TJ0YHIS+lIzhKuCNhgRJUMtR90cp9rFJiQhSvS8Bc0F08/ImfnXKiY812vYINi/4HjiMFS9z8ytYEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","last_reissued_at":"2026-05-18T04:18:13.674882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:13.674882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chiral Perturbation Theory with tensor sources","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Oscar Cata, Vicent Mateu","submitted_at":"2007-05-21T10:32:31Z","abstract_excerpt":"We construct the most general chirally-invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current \\bar{\\psi}\\sigma_{\\mu\\nu}\\psi. In order to have only even terms in the chiral expansion, we consider the new source of O(p^2). With this choice, we build the even-parity effective Lagrangian up to the p^6-order (NLO). While there are only 4 new terms at the p^4-order, at p^6-order we find 78 terms for n_f=2 and 113 terms for n_f=3. We provide a detailed discussion on the different mechanisms that ensure that our final set of operators is complete and non-redu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.2948","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":"0705.2948","created_at":"2026-05-18T04:18:13.674966+00:00"},{"alias_kind":"arxiv_version","alias_value":"0705.2948v2","created_at":"2026-05-18T04:18:13.674966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.2948","created_at":"2026-05-18T04:18:13.674966+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFHKKHZEKD3A","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFHKKHZEKD3A6XR7","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFHKKHZE","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2512.20759","citing_title":"Generalized structure functions in semileptonic tau decays","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2605.14223","citing_title":"$\\tau^- \\to \\omega \\pi^- \\nu_\\tau$ decay in R$\\chi$T with tensor sources","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ","json":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ.json","graph_json":"https://pith.science/api/pith-number/CFHKKHZEKD3A6XR733Y5HN2THZ/graph.json","events_json":"https://pith.science/api/pith-number/CFHKKHZEKD3A6XR733Y5HN2THZ/events.json","paper":"https://pith.science/paper/CFHKKHZE"},"agent_actions":{"view_html":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ","download_json":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ.json","view_paper":"https://pith.science/paper/CFHKKHZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0705.2948&json=true","fetch_graph":"https://pith.science/api/pith-number/CFHKKHZEKD3A6XR733Y5HN2THZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CFHKKHZEKD3A6XR733Y5HN2THZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/action/storage_attestation","attest_author":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/action/author_attestation","sign_citation":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/action/citation_signature","submit_replication":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/action/replication_record"}},"created_at":"2026-05-18T04:18:13.674966+00:00","updated_at":"2026-05-18T04:18:13.674966+00:00"}