{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:LWMN2L25QB7O4XEHBBSRNCIHTY","short_pith_number":"pith:LWMN2L25","canonical_record":{"source":{"id":"hep-ph/0007101","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-11T14:10:36Z","cross_cats_sorted":[],"title_canon_sha256":"504d7af87eac982c93dffbf4624f6cf50d0f46e24ba4c1f81c61b867c25a6693","abstract_canon_sha256":"ed548c8534e1a1a824e7d1d33ebc2cd3c67355dae5dfff0e391736aeb3cf9097"},"schema_version":"1.0"},"canonical_sha256":"5d98dd2f5d807eee5c8708651689079e23e12220d517bf94c670f23e316a9680","source":{"kind":"arxiv","id":"hep-ph/0007101","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007101","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007101v1","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007101","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"LWMN2L25QB7O","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"LWMN2L25QB7O4XEH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"LWMN2L25","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:LWMN2L25QB7O4XEHBBSRNCIHTY","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0007101","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-11T14:10:36Z","cross_cats_sorted":[],"title_canon_sha256":"504d7af87eac982c93dffbf4624f6cf50d0f46e24ba4c1f81c61b867c25a6693","abstract_canon_sha256":"ed548c8534e1a1a824e7d1d33ebc2cd3c67355dae5dfff0e391736aeb3cf9097"},"schema_version":"1.0"},"canonical_sha256":"5d98dd2f5d807eee5c8708651689079e23e12220d517bf94c670f23e316a9680","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:26.654486Z","signature_b64":"EH7kjxTkdDeBFm250gjlxvrlRQXnTvwwdR2IC1a+SJpGf9RUyCtpD5C4Lw1NUfkLPXS0x/8pH8I+uBEbraNOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d98dd2f5d807eee5c8708651689079e23e12220d517bf94c670f23e316a9680","last_reissued_at":"2026-05-18T04:13:26.653944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:26.653944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0007101","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"199eKt2e8Wjy++4bTlB9cfLVnhbEkDbdZMZVjOsvQ25XeoC73DB7cC+xq8+UiszxS7cvOkDlp3Bwnsu2o5sCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:52:19.342257Z"},"content_sha256":"fbd66761f21bae54261cf3160f39dd567a56c8cba6e664875325c30f6accc1db","schema_version":"1.0","event_id":"sha256:fbd66761f21bae54261cf3160f39dd567a56c8cba6e664875325c30f6accc1db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:LWMN2L25QB7O4XEHBBSRNCIHTY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large N_c in chiral perturbation theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"H. Leutwyler (Institute for Theoretical Physics, R. Kaiser, Switzerland), Universtity of Bern","submitted_at":"2000-07-11T14:10:36Z","abstract_excerpt":"The construction of the effective Lagrangian relevant for the mesonic sector of QCD in the large N_c limit meets with a few rather subtle problems. We thoroughly examine these and show that, if the variables of the effective theory are chosen suitably, the known large N_c counting rules of QCD can unambiguously be translated into corresponding counting rules for the effective coupling constants. As an application, we demonstrate that the Kaplan-Manohar transformation is in conflict with these rules and is suppressed to all orders in 1/N_c. The anomalous dimension of the axial singlet current g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007101","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iwQxeWYbo3GxQg/kLDj6svDDY9YCRgywVFu3b6/KQzDMcXvmZYZNECjp520MTzAwKxYDC0JDT865xgzGYUMvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:52:19.342619Z"},"content_sha256":"1236c3b756552776c45142d13fa84e0bb9657e03f69d83c59b7c0c23aeb5d959","schema_version":"1.0","event_id":"sha256:1236c3b756552776c45142d13fa84e0bb9657e03f69d83c59b7c0c23aeb5d959"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/bundle.json","state_url":"https://pith.science/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T05:52:19Z","links":{"resolver":"https://pith.science/pith/LWMN2L25QB7O4XEHBBSRNCIHTY","bundle":"https://pith.science/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/bundle.json","state":"https://pith.science/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWMN2L25QB7O4XEHBBSRNCIHTY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:LWMN2L25QB7O4XEHBBSRNCIHTY","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":"ed548c8534e1a1a824e7d1d33ebc2cd3c67355dae5dfff0e391736aeb3cf9097","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-11T14:10:36Z","title_canon_sha256":"504d7af87eac982c93dffbf4624f6cf50d0f46e24ba4c1f81c61b867c25a6693"},"schema_version":"1.0","source":{"id":"hep-ph/0007101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007101","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007101v1","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007101","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"LWMN2L25QB7O","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"LWMN2L25QB7O4XEH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"LWMN2L25","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:1236c3b756552776c45142d13fa84e0bb9657e03f69d83c59b7c0c23aeb5d959","target":"graph","created_at":"2026-05-18T04:13:26Z","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":"The construction of the effective Lagrangian relevant for the mesonic sector of QCD in the large N_c limit meets with a few rather subtle problems. We thoroughly examine these and show that, if the variables of the effective theory are chosen suitably, the known large N_c counting rules of QCD can unambiguously be translated into corresponding counting rules for the effective coupling constants. As an application, we demonstrate that the Kaplan-Manohar transformation is in conflict with these rules and is suppressed to all orders in 1/N_c. The anomalous dimension of the axial singlet current g","authors_text":"H. Leutwyler (Institute for Theoretical Physics, R. Kaiser, Switzerland), Universtity of Bern","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-07-11T14:10:36Z","title":"Large N_c in chiral perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007101","kind":"arxiv","version":1},"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:fbd66761f21bae54261cf3160f39dd567a56c8cba6e664875325c30f6accc1db","target":"record","created_at":"2026-05-18T04:13:26Z","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":"ed548c8534e1a1a824e7d1d33ebc2cd3c67355dae5dfff0e391736aeb3cf9097","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-11T14:10:36Z","title_canon_sha256":"504d7af87eac982c93dffbf4624f6cf50d0f46e24ba4c1f81c61b867c25a6693"},"schema_version":"1.0","source":{"id":"hep-ph/0007101","kind":"arxiv","version":1}},"canonical_sha256":"5d98dd2f5d807eee5c8708651689079e23e12220d517bf94c670f23e316a9680","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d98dd2f5d807eee5c8708651689079e23e12220d517bf94c670f23e316a9680","first_computed_at":"2026-05-18T04:13:26.653944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:26.653944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EH7kjxTkdDeBFm250gjlxvrlRQXnTvwwdR2IC1a+SJpGf9RUyCtpD5C4Lw1NUfkLPXS0x/8pH8I+uBEbraNOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:26.654486Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0007101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbd66761f21bae54261cf3160f39dd567a56c8cba6e664875325c30f6accc1db","sha256:1236c3b756552776c45142d13fa84e0bb9657e03f69d83c59b7c0c23aeb5d959"],"state_sha256":"1819def8feffedc27f5df1e06eb4b40f9e157fe631c25d0095d5bd95ab21ccce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TJth21N4vX/wr9iYLszDNMmT8Es8/uSpX6cey5euwAJXRGmmfLtRrL4f2KPsKq7gG9Yy6EuJ/C2wEq6t5GZzAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:52:19.344752Z","bundle_sha256":"e57f124f9f0cce59fb0398bf36db11a9539788ef721f57cd6982515f999e8e22"}}