{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:CFHKKHZEKD3A6XR733Y5HN2THZ","short_pith_number":"pith:CFHKKHZE","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"},"canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","source":{"kind":"arxiv","id":"0705.2948","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.2948","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0705.2948v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.2948","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"CFHKKHZEKD3A","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"CFHKKHZEKD3A6XR7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"CFHKKHZE","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:CFHKKHZEKD3A6XR733Y5HN2THZ","target":"record","payload":{"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"},"canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","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"},"source_kind":"arxiv","source_id":"0705.2948","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8kXwh7aByjBgw9+iFlDDvD1oR62EaXKegKzJY9GQf6n/Ymk1K52t+nhihFYDv7Hse8YnY5VY5sTXYQsoUVUVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:55:03.554923Z"},"content_sha256":"39dc28d85fe59f2e7d55e47de5d71dbd703a4b4fa74925160f2e20c6e0e966c6","schema_version":"1.0","event_id":"sha256:39dc28d85fe59f2e7d55e47de5d71dbd703a4b4fa74925160f2e20c6e0e966c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:CFHKKHZEKD3A6XR733Y5HN2THZ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n49u+H39CwzaCl8J6qtPuRmHWU9lcSECXu0Zo0rB7g7rcnQLsLmzRx9zhDdZ+aDGhK8mG9eTR0AyAbeKGUxPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:55:03.555708Z"},"content_sha256":"7946eaa0696eaf55a387cde623bbdbd40b751c8a49f7e29970bc8311fa680e24","schema_version":"1.0","event_id":"sha256:7946eaa0696eaf55a387cde623bbdbd40b751c8a49f7e29970bc8311fa680e24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/bundle.json","state_url":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/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":"2026-05-27T00:55:03Z","links":{"resolver":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ","bundle":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/bundle.json","state":"https://pith.science/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CFHKKHZEKD3A6XR733Y5HN2THZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:CFHKKHZEKD3A6XR733Y5HN2THZ","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":"fbf535f465377ea5e7e527c4c7d8654e309a8b5a2406932ae76bbef1a3d75818","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-21T10:32:31Z","title_canon_sha256":"93504c694c75b3305412a64f03b98120351060e71cf854bb52b5f8538c149cab"},"schema_version":"1.0","source":{"id":"0705.2948","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.2948","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0705.2948v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.2948","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"CFHKKHZEKD3A","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"CFHKKHZEKD3A6XR7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"CFHKKHZE","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:7946eaa0696eaf55a387cde623bbdbd40b751c8a49f7e29970bc8311fa680e24","target":"graph","created_at":"2026-05-18T04:18:13Z","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 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","authors_text":"Oscar Cata, Vicent Mateu","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-05-21T10:32:31Z","title":"Chiral Perturbation Theory with tensor sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.2948","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":"sha256:39dc28d85fe59f2e7d55e47de5d71dbd703a4b4fa74925160f2e20c6e0e966c6","target":"record","created_at":"2026-05-18T04:18:13Z","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":"fbf535f465377ea5e7e527c4c7d8654e309a8b5a2406932ae76bbef1a3d75818","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-05-21T10:32:31Z","title_canon_sha256":"93504c694c75b3305412a64f03b98120351060e71cf854bb52b5f8538c149cab"},"schema_version":"1.0","source":{"id":"0705.2948","kind":"arxiv","version":2}},"canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"114ea51f2450f60f5e3fdef1d3b7533e78a5f46daf7dbd4a60e8f808cbda2a3d","first_computed_at":"2026-05-18T04:18:13.674882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:13.674882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tz1s4Y5TJ0YHIS+lIzhKuCNhgRJUMtR90cp9rFJiQhSvS8Bc0F08/ImfnXKiY812vYINi/4HjiMFS9z8ytYEDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:13.675419Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.2948","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39dc28d85fe59f2e7d55e47de5d71dbd703a4b4fa74925160f2e20c6e0e966c6","sha256:7946eaa0696eaf55a387cde623bbdbd40b751c8a49f7e29970bc8311fa680e24"],"state_sha256":"20d49cdc0ae35a2e05decbfb46dd4be1c2d8242f4bbf1608b42b61f19b420d78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V8RLFFgutm3SAFJF43/L5N8vqcoAg4+N3R4fiRj7q2MfR94+Y2H7nTyy2OjDrG3NquaO3SDLbxYoc9WhpwjLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:55:03.559481Z","bundle_sha256":"93cae0cab0c84604f4d75ea1519d873c771760227f3c5da338173fea50c1fdcd"}}