{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:6TIU5NNRG7VGZ73B27CPV323BP","short_pith_number":"pith:6TIU5NNR","canonical_record":{"source":{"id":"hep-ph/9907333","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-13T12:59:40Z","cross_cats_sorted":[],"title_canon_sha256":"043dd744d8c8b8b661cd1fb6bfffbc0a42a862c27736ecc4a8d13cc33ddfeb74","abstract_canon_sha256":"f0c768a1f1519aa15ae07a76703058d438289e556cf21e5548c31d2ce7b90f8c"},"schema_version":"1.0"},"canonical_sha256":"f4d14eb5b137ea6cff61d7c4faef5b0bcc20abf614676f45d625f9460d057d1c","source":{"kind":"arxiv","id":"hep-ph/9907333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9907333","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9907333v1","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9907333","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"6TIU5NNRG7VG","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"6TIU5NNRG7VGZ73B","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"6TIU5NNR","created_at":"2026-07-04T16:14:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:6TIU5NNRG7VGZ73B27CPV323BP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9907333","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-13T12:59:40Z","cross_cats_sorted":[],"title_canon_sha256":"043dd744d8c8b8b661cd1fb6bfffbc0a42a862c27736ecc4a8d13cc33ddfeb74","abstract_canon_sha256":"f0c768a1f1519aa15ae07a76703058d438289e556cf21e5548c31d2ce7b90f8c"},"schema_version":"1.0"},"canonical_sha256":"f4d14eb5b137ea6cff61d7c4faef5b0bcc20abf614676f45d625f9460d057d1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:22.877294Z","signature_b64":"0Bl2B2M26QszsnEgb5bwAtlvP777wzkHiws+aLNclh3O2y/1W6Ei/KbOpeHkA86lhsZzlRUGolQx0tCzfywYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4d14eb5b137ea6cff61d7c4faef5b0bcc20abf614676f45d625f9460d057d1c","last_reissued_at":"2026-07-04T16:14:22.876897Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:22.876897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9907333","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":"2026-07-04T16:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0wHKbb1ZaOi5i7Dl5FfwNShQS18zmiM8pvtPH/dmQat+B2UhjET2dun/mFK/TvH1tiJ8wEGRuaAXAYy3TnpICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:45:50.014588Z"},"content_sha256":"c4d45556298391600a02fe1811fdf478e2d8cd4a665f9986a98b68eef83c4a34","schema_version":"1.0","event_id":"sha256:c4d45556298391600a02fe1811fdf478e2d8cd4a665f9986a98b68eef83c4a34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:6TIU5NNRG7VGZ73B27CPV323BP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of chiral perturbation theory to order p^6","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"G. Colangelo, G. Ecker, J. Bijnens","submitted_at":"1999-07-13T12:59:40Z","abstract_excerpt":"The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral SU(n), involving one- and two-loop diagrams. The renormalization group equations for the renormalized low-energy constants of O(p^6) are derived. We compare our results with previous two-loop calculations in chiral perturbation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9907333","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9907333/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jmy065E1Bgn+KdgcpQX/0WkSjYKOMFMKWLvr3tLmQX0CqKzUpDl8QEv8ByTRMFXv7efvr5AL2QHE4O6h6OojBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:45:50.015087Z"},"content_sha256":"6aa0d7ac3273ff80236a1c9c772dbfe7860ac7aaf49726a8a5573ad246de5e05","schema_version":"1.0","event_id":"sha256:6aa0d7ac3273ff80236a1c9c772dbfe7860ac7aaf49726a8a5573ad246de5e05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6TIU5NNRG7VGZ73B27CPV323BP/bundle.json","state_url":"https://pith.science/pith/6TIU5NNRG7VGZ73B27CPV323BP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6TIU5NNRG7VGZ73B27CPV323BP/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":"2026-08-11T20:45:50Z","links":{"resolver":"https://pith.science/pith/6TIU5NNRG7VGZ73B27CPV323BP","bundle":"https://pith.science/pith/6TIU5NNRG7VGZ73B27CPV323BP/bundle.json","state":"https://pith.science/pith/6TIU5NNRG7VGZ73B27CPV323BP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6TIU5NNRG7VGZ73B27CPV323BP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:6TIU5NNRG7VGZ73B27CPV323BP","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":"f0c768a1f1519aa15ae07a76703058d438289e556cf21e5548c31d2ce7b90f8c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-13T12:59:40Z","title_canon_sha256":"043dd744d8c8b8b661cd1fb6bfffbc0a42a862c27736ecc4a8d13cc33ddfeb74"},"schema_version":"1.0","source":{"id":"hep-ph/9907333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9907333","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9907333v1","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9907333","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"6TIU5NNRG7VG","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"6TIU5NNRG7VGZ73B","created_at":"2026-07-04T16:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"6TIU5NNR","created_at":"2026-07-04T16:14:22Z"}],"graph_snapshots":[{"event_id":"sha256:6aa0d7ac3273ff80236a1c9c772dbfe7860ac7aaf49726a8a5573ad246de5e05","target":"graph","created_at":"2026-07-04T16:14:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9907333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral SU(n), involving one- and two-loop diagrams. The renormalization group equations for the renormalized low-energy constants of O(p^6) are derived. We compare our results with previous two-loop calculations in chiral perturbation theory.","authors_text":"G. Colangelo, G. Ecker, J. Bijnens","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-07-13T12:59:40Z","title":"Renormalization of chiral perturbation theory to order p^6"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9907333","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:c4d45556298391600a02fe1811fdf478e2d8cd4a665f9986a98b68eef83c4a34","target":"record","created_at":"2026-07-04T16:14:22Z","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":"f0c768a1f1519aa15ae07a76703058d438289e556cf21e5548c31d2ce7b90f8c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-13T12:59:40Z","title_canon_sha256":"043dd744d8c8b8b661cd1fb6bfffbc0a42a862c27736ecc4a8d13cc33ddfeb74"},"schema_version":"1.0","source":{"id":"hep-ph/9907333","kind":"arxiv","version":1}},"canonical_sha256":"f4d14eb5b137ea6cff61d7c4faef5b0bcc20abf614676f45d625f9460d057d1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4d14eb5b137ea6cff61d7c4faef5b0bcc20abf614676f45d625f9460d057d1c","first_computed_at":"2026-07-04T16:14:22.876897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:22.876897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Bl2B2M26QszsnEgb5bwAtlvP777wzkHiws+aLNclh3O2y/1W6Ei/KbOpeHkA86lhsZzlRUGolQx0tCzfywYAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:22.877294Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9907333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4d45556298391600a02fe1811fdf478e2d8cd4a665f9986a98b68eef83c4a34","sha256:6aa0d7ac3273ff80236a1c9c772dbfe7860ac7aaf49726a8a5573ad246de5e05"],"state_sha256":"d6cb54252a175f06e2add3ecca10208a0f781f7a211e385d6fe2f0f852afe5b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uF9PX9/Rb/oik4ywtuHwHbvGPeQVKJeo5hobcKtIh5JtY3tbAL9FUTL1vz5omIKzTA0kAlRkPsG2ht9pLJQ6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T20:45:50.019074Z","bundle_sha256":"7648245091b0f5cf365d991bd733105cd267b65ffacf2202d65a74a1b575a4a6"}}