{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4RBG6VCSHSM5EYZZM64QOJYZRO","short_pith_number":"pith:4RBG6VCS","canonical_record":{"source":{"id":"1007.0684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-05T14:09:28Z","cross_cats_sorted":[],"title_canon_sha256":"cf34dc3e718824f065b714d717ede583018fcd2321e6b50701d96c687dcaee6d","abstract_canon_sha256":"5ffe182adea143caa6ae10f266d20d24b65f3cc1c60166de5c8e91805b807584"},"schema_version":"1.0"},"canonical_sha256":"e4426f54523c99d2633967b90727198bbe2959c6fd481bee620d054fb8bc2f80","source":{"kind":"arxiv","id":"1007.0684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0684","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0684v2","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0684","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"4RBG6VCSHSM5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4RBG6VCSHSM5EYZZ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4RBG6VCS","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4RBG6VCSHSM5EYZZM64QOJYZRO","target":"record","payload":{"canonical_record":{"source":{"id":"1007.0684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-05T14:09:28Z","cross_cats_sorted":[],"title_canon_sha256":"cf34dc3e718824f065b714d717ede583018fcd2321e6b50701d96c687dcaee6d","abstract_canon_sha256":"5ffe182adea143caa6ae10f266d20d24b65f3cc1c60166de5c8e91805b807584"},"schema_version":"1.0"},"canonical_sha256":"e4426f54523c99d2633967b90727198bbe2959c6fd481bee620d054fb8bc2f80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:17.956751Z","signature_b64":"6eqby+l4fjPSei8vqrXZu6+/bX2WyDJ5EU9UEJ7niuXzS9LoUXBgDrWUrVm7obJ4ojOO+XfL0d4fvp3Q77epAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4426f54523c99d2633967b90727198bbe2959c6fd481bee620d054fb8bc2f80","last_reissued_at":"2026-05-18T04:33:17.956029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:17.956029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.0684","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":"2026-05-18T04:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vFS4r8PDs275ukegkuCwYViAd+ZOAeCy8TkwRJpINHAa/6bpGVElec8X8S1gCzQhO03aLGKYXYrLrVHY1sb0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:35:40.881799Z"},"content_sha256":"a35ed5a838e5ca9792c92107cc961df0545fb45dbeeeb30ee9d4fc34c66909c3","schema_version":"1.0","event_id":"sha256:a35ed5a838e5ca9792c92107cc961df0545fb45dbeeeb30ee9d4fc34c66909c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4RBG6VCSHSM5EYZZM64QOJYZRO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Joachim Brod, Martin Gorbahn","submitted_at":"2010-07-05T14:09:28Z","abstract_excerpt":"We perform a next-to-next-to-leading order (NNLO) QCD analysis of the charm-top-quark contribution eta_ct to the effective Delta S = 2 Hamiltonian in the Standard Model. eta_ct represents an important part of the short distance contribution to the parameter epsilon_K. We calculate the three-loop anomalous dimension of the leading operator Q_S2, the three-loop mixing of the current-current and penguin operators into Q_S2, and the corresponding two-loop matching conditions at the electroweak, the bottom-quark, and the charm-quark scale. As our final numerical result we obtain eta_ct = 0.496 +/- "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0684","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":"2026-05-18T04:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TT+8ecq8rerPcr7bX6+72uHs4H8dq72otwY9F5S0ylonyo1rb7RLa76CWxXggY6JOZi39eAZlZ3H7oU+eGRQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:35:40.882150Z"},"content_sha256":"b5673f18009234be0e94743499f3dfdf08e04f4491acf9e12e960e13945d43e6","schema_version":"1.0","event_id":"sha256:b5673f18009234be0e94743499f3dfdf08e04f4491acf9e12e960e13945d43e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/bundle.json","state_url":"https://pith.science/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/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":"2026-06-04T02:35:40Z","links":{"resolver":"https://pith.science/pith/4RBG6VCSHSM5EYZZM64QOJYZRO","bundle":"https://pith.science/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/bundle.json","state":"https://pith.science/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4RBG6VCSHSM5EYZZM64QOJYZRO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4RBG6VCSHSM5EYZZM64QOJYZRO","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":"5ffe182adea143caa6ae10f266d20d24b65f3cc1c60166de5c8e91805b807584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-05T14:09:28Z","title_canon_sha256":"cf34dc3e718824f065b714d717ede583018fcd2321e6b50701d96c687dcaee6d"},"schema_version":"1.0","source":{"id":"1007.0684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0684","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0684v2","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0684","created_at":"2026-05-18T04:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"4RBG6VCSHSM5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4RBG6VCSHSM5EYZZ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4RBG6VCS","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b5673f18009234be0e94743499f3dfdf08e04f4491acf9e12e960e13945d43e6","target":"graph","created_at":"2026-05-18T04:33:17Z","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 perform a next-to-next-to-leading order (NNLO) QCD analysis of the charm-top-quark contribution eta_ct to the effective Delta S = 2 Hamiltonian in the Standard Model. eta_ct represents an important part of the short distance contribution to the parameter epsilon_K. We calculate the three-loop anomalous dimension of the leading operator Q_S2, the three-loop mixing of the current-current and penguin operators into Q_S2, and the corresponding two-loop matching conditions at the electroweak, the bottom-quark, and the charm-quark scale. As our final numerical result we obtain eta_ct = 0.496 +/- ","authors_text":"Joachim Brod, Martin Gorbahn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-05T14:09:28Z","title":"Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0684","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:a35ed5a838e5ca9792c92107cc961df0545fb45dbeeeb30ee9d4fc34c66909c3","target":"record","created_at":"2026-05-18T04:33:17Z","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":"5ffe182adea143caa6ae10f266d20d24b65f3cc1c60166de5c8e91805b807584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-05T14:09:28Z","title_canon_sha256":"cf34dc3e718824f065b714d717ede583018fcd2321e6b50701d96c687dcaee6d"},"schema_version":"1.0","source":{"id":"1007.0684","kind":"arxiv","version":2}},"canonical_sha256":"e4426f54523c99d2633967b90727198bbe2959c6fd481bee620d054fb8bc2f80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4426f54523c99d2633967b90727198bbe2959c6fd481bee620d054fb8bc2f80","first_computed_at":"2026-05-18T04:33:17.956029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:17.956029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6eqby+l4fjPSei8vqrXZu6+/bX2WyDJ5EU9UEJ7niuXzS9LoUXBgDrWUrVm7obJ4ojOO+XfL0d4fvp3Q77epAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:17.956751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a35ed5a838e5ca9792c92107cc961df0545fb45dbeeeb30ee9d4fc34c66909c3","sha256:b5673f18009234be0e94743499f3dfdf08e04f4491acf9e12e960e13945d43e6"],"state_sha256":"d02dc64c6b2a57f8d1f98be3498771c5e1652f071cc70bd3daafe51891825c6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPpIgvCPruh5ImuJZVobir/7xTTPm3YZyIfEbd5gRolf6autV/XwnjwBfPrJoX26kyiehSLQVfGUMhxoKRgFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:35:40.884105Z","bundle_sha256":"a29762b6f0eb134f150a4b6418488af51e9133ab6146f6d429acee6d38bbc192"}}