{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZQDGPIV3BEF2HU5TAQO4QA2ZTA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ea246090143ea80b40e804af2b803c8e500054ad9dcb3c6de204faaa8eb60e05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-30T05:50:30Z","title_canon_sha256":"8f8b1fd6ee4027b66f59f8f786b4026ae367f0bc1548ba9ea47dec2a7912940a"},"schema_version":"1.0","source":{"id":"0907.5260","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5260","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5260v2","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5260","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZQDGPIV3BEF2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"ZQDGPIV3BEF2HU5T","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"ZQDGPIV3","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:43878752370e56c9135a2c1f5a6e89fb650071fa999354d986f08529af56ec87","target":"graph","created_at":"2026-05-18T02:34:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show how the Apparently Noninvariant Terms (ANTs), which emerge in perturbation theory of nonlinear sigma models, are consistent with the nonlinearly realized symmetry by employing the Ward-Takahashi identity (in the form of an inhomogeneous Zinn-Justin equation). In the literature the discussions on ANTs are confined to the SU(2) case. We generalize them to the U(N) case and demonstrate explicitly at the one-loop level that despite the presence of divergent ANTs in the effective action of the \"pions\", the symmetry is preserved.","authors_text":"Hirofumi Kubo, Koji Harada, Yuki Yamamoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-30T05:50:30Z","title":"Apparently noninvariant terms of $U(N)\\times U(N)$ nonlinear sigma model in the one-loop approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5260","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:be5c4761406bf73c428ba104eefaaa76a52b0b8bbb0798031a01e47486bf6110","target":"record","created_at":"2026-05-18T02:34:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ea246090143ea80b40e804af2b803c8e500054ad9dcb3c6de204faaa8eb60e05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-30T05:50:30Z","title_canon_sha256":"8f8b1fd6ee4027b66f59f8f786b4026ae367f0bc1548ba9ea47dec2a7912940a"},"schema_version":"1.0","source":{"id":"0907.5260","kind":"arxiv","version":2}},"canonical_sha256":"cc0667a2bb090ba3d3b3041dc80359982f4d6f3519a98fb57d1d80aa804104ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc0667a2bb090ba3d3b3041dc80359982f4d6f3519a98fb57d1d80aa804104ee","first_computed_at":"2026-05-18T02:34:38.285482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:38.285482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+0QemSHW1nZ3I6037n1bVdJ1TjAkzsgQBSeesvzFS15R7lwzCE5Vzr8VIiSzFsKJIJkPjqM7HOeIMIw0etyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:38.286238Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.5260","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be5c4761406bf73c428ba104eefaaa76a52b0b8bbb0798031a01e47486bf6110","sha256:43878752370e56c9135a2c1f5a6e89fb650071fa999354d986f08529af56ec87"],"state_sha256":"77e3ab58040c9573d2019413f0257aafaefae162b6881a4758c0917957e6d7b7"}