{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:GDFMKZ3ZXVXBMRDIKDOODVEWO7","short_pith_number":"pith:GDFMKZ3Z","schema_version":"1.0","canonical_sha256":"30cac56779bd6e16446850dce1d49677fd0d6f369c8157d2a5858a1be0862def","source":{"kind":"arxiv","id":"hep-ph/0102213","version":1},"attestation_state":"computed","paper":{"title":"The anomalous process gamma pi -> pi pi to two loops","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Torben Hannah","submitted_at":"2001-02-16T22:04:24Z","abstract_excerpt":"The amplitude for the anomalous process gamma pi -> pi pi is evaluated to two loops in the chiral expansion by means of a dispersive method. The two new coupling constants that enter at this order are estimated via sum rules derived from a non-perturbative chiral approach. With these coupling constants fixed, the numerical results are given and compared with the available experimental information."},"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":"hep-ph/0102213","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-02-16T22:04:24Z","cross_cats_sorted":[],"title_canon_sha256":"76cd6bb8c27d8b70f5cd1730437416ba1dc301ce57f753e209e2d1640427725c","abstract_canon_sha256":"48382b5428c5b49c0740b4ad19a32aa73075e907dd58d58a6eb7500ef3d71b69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:27:14.584091Z","signature_b64":"LGIWpbnbXeyY9K7Ka2IZOn0qFXiA+I+VB6uPjxgWU/PXj9GgHtj7mxpJTYuNQTHNDLAHd62wldmmUFm0Vme+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30cac56779bd6e16446850dce1d49677fd0d6f369c8157d2a5858a1be0862def","last_reissued_at":"2026-07-04T16:27:14.583729Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:27:14.583729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The anomalous process gamma pi -> pi pi to two loops","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Torben Hannah","submitted_at":"2001-02-16T22:04:24Z","abstract_excerpt":"The amplitude for the anomalous process gamma pi -> pi pi is evaluated to two loops in the chiral expansion by means of a dispersive method. The two new coupling constants that enter at this order are estimated via sum rules derived from a non-perturbative chiral approach. With these coupling constants fixed, the numerical results are given and compared with the available experimental information."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0102213","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/0102213/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0102213","created_at":"2026-07-04T16:27:14.583794+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0102213v1","created_at":"2026-07-04T16:27:14.583794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0102213","created_at":"2026-07-04T16:27:14.583794+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDFMKZ3ZXVXB","created_at":"2026-07-04T16:27:14.583794+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDFMKZ3ZXVXBMRDI","created_at":"2026-07-04T16:27:14.583794+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDFMKZ3Z","created_at":"2026-07-04T16:27:14.583794+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7","json":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7.json","graph_json":"https://pith.science/api/pith-number/GDFMKZ3ZXVXBMRDIKDOODVEWO7/graph.json","events_json":"https://pith.science/api/pith-number/GDFMKZ3ZXVXBMRDIKDOODVEWO7/events.json","paper":"https://pith.science/paper/GDFMKZ3Z"},"agent_actions":{"view_html":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7","download_json":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7.json","view_paper":"https://pith.science/paper/GDFMKZ3Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0102213&json=true","fetch_graph":"https://pith.science/api/pith-number/GDFMKZ3ZXVXBMRDIKDOODVEWO7/graph.json","fetch_events":"https://pith.science/api/pith-number/GDFMKZ3ZXVXBMRDIKDOODVEWO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7/action/storage_attestation","attest_author":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7/action/author_attestation","sign_citation":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7/action/citation_signature","submit_replication":"https://pith.science/pith/GDFMKZ3ZXVXBMRDIKDOODVEWO7/action/replication_record"}},"created_at":"2026-07-04T16:27:14.583794+00:00","updated_at":"2026-07-04T16:27:14.583794+00:00"}