{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:XM4BBEPDGQTS2BYVZ2IETY55YV","short_pith_number":"pith:XM4BBEPD","canonical_record":{"source":{"id":"hep-ph/0203166","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-18T13:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"3f3effb0cfeb08427e4633c9ad96a3a13d51b6f74b60ee4788597d62e0845427","abstract_canon_sha256":"a8429dce17ca9adbce08455d8274fbf020f10efba7870553f5b5b97fcd5ef5a6"},"schema_version":"1.0"},"canonical_sha256":"bb381091e334272d0715ce9049e3bdc5788ecc5e5d7dc5a0340054a998fa9807","source":{"kind":"arxiv","id":"hep-ph/0203166","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0203166","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0203166v1","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0203166","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"XM4BBEPDGQTS","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XM4BBEPDGQTS2BYV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XM4BBEPD","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:XM4BBEPDGQTS2BYVZ2IETY55YV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0203166","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-18T13:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"3f3effb0cfeb08427e4633c9ad96a3a13d51b6f74b60ee4788597d62e0845427","abstract_canon_sha256":"a8429dce17ca9adbce08455d8274fbf020f10efba7870553f5b5b97fcd5ef5a6"},"schema_version":"1.0"},"canonical_sha256":"bb381091e334272d0715ce9049e3bdc5788ecc5e5d7dc5a0340054a998fa9807","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:08.974690Z","signature_b64":"2LeOOuKbYUal+1JbMajYinxpwh7uVuSDQm52uj4umb2QyyFAmSUjlwzfibtJH+jx9GQ5ABXHU1+65ZFQc7IgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb381091e334272d0715ce9049e3bdc5788ecc5e5d7dc5a0340054a998fa9807","last_reissued_at":"2026-05-18T01:39:08.974142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:08.974142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0203166","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":"2026-05-18T01:39:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1aGC9WUz8SWzUP0Xi52lbBWs1VPEQwFcMWqHfIXLvRV/Y6018xBBIBJcgpR6pWp+xPFJFL8w2GX2fYV4YtPEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:23:08.554061Z"},"content_sha256":"62ce953e5f307b850afb26df990f569e951ecc06bdec43f1d69c57461b449e54","schema_version":"1.0","event_id":"sha256:62ce953e5f307b850afb26df990f569e951ecc06bdec43f1d69c57461b449e54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:XM4BBEPDGQTS2BYVZ2IETY55YV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.A. Penin, B.A. Kniehl, M. Steinhauser, V.A. Smirnov","submitted_at":"2002-03-18T13:33:40Z","abstract_excerpt":"The next-to-next-to-next-to-leading order (N^3LO) Hamiltonian of potential nonrelativistic QCD is derived. The complete matching of the Hamiltonian and the contribution from the ultrasoft dynamical gluons relevant for perturbative bound-state calculations is performed including one-, two-, and three-loop contributions. The threshold expansion is used to disentangle and match contributions of different scales in the effective-theory calculations. As a physical application, the heavy-quarkonium spectrum is obtained at N^3LO for the case of vanishing QCD beta function. Our results set the stage f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0203166","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":"2026-05-18T01:39:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwnWEhmqxkHOpz6LM4rfh1HNMUxiBKL7ShunqHYW4PvbzE7CLXLpL3Cuq2297JjyYIe161SCeFaP86a7nSaJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:23:08.554423Z"},"content_sha256":"f4f02240ee9139f3141cf56c2a607c574ad22884f9c82824d528dab08e87d071","schema_version":"1.0","event_id":"sha256:f4f02240ee9139f3141cf56c2a607c574ad22884f9c82824d528dab08e87d071"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/bundle.json","state_url":"https://pith.science/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/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":"2026-06-03T03:23:08Z","links":{"resolver":"https://pith.science/pith/XM4BBEPDGQTS2BYVZ2IETY55YV","bundle":"https://pith.science/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/bundle.json","state":"https://pith.science/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XM4BBEPDGQTS2BYVZ2IETY55YV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:XM4BBEPDGQTS2BYVZ2IETY55YV","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":"a8429dce17ca9adbce08455d8274fbf020f10efba7870553f5b5b97fcd5ef5a6","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-18T13:33:40Z","title_canon_sha256":"3f3effb0cfeb08427e4633c9ad96a3a13d51b6f74b60ee4788597d62e0845427"},"schema_version":"1.0","source":{"id":"hep-ph/0203166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0203166","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0203166v1","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0203166","created_at":"2026-05-18T01:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"XM4BBEPDGQTS","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XM4BBEPDGQTS2BYV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XM4BBEPD","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:f4f02240ee9139f3141cf56c2a607c574ad22884f9c82824d528dab08e87d071","target":"graph","created_at":"2026-05-18T01:39:08Z","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 next-to-next-to-next-to-leading order (N^3LO) Hamiltonian of potential nonrelativistic QCD is derived. The complete matching of the Hamiltonian and the contribution from the ultrasoft dynamical gluons relevant for perturbative bound-state calculations is performed including one-, two-, and three-loop contributions. The threshold expansion is used to disentangle and match contributions of different scales in the effective-theory calculations. As a physical application, the heavy-quarkonium spectrum is obtained at N^3LO for the case of vanishing QCD beta function. Our results set the stage f","authors_text":"A.A. Penin, B.A. Kniehl, M. Steinhauser, V.A. Smirnov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-03-18T13:33:40Z","title":"Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0203166","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":"sha256:62ce953e5f307b850afb26df990f569e951ecc06bdec43f1d69c57461b449e54","target":"record","created_at":"2026-05-18T01:39:08Z","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":"a8429dce17ca9adbce08455d8274fbf020f10efba7870553f5b5b97fcd5ef5a6","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-18T13:33:40Z","title_canon_sha256":"3f3effb0cfeb08427e4633c9ad96a3a13d51b6f74b60ee4788597d62e0845427"},"schema_version":"1.0","source":{"id":"hep-ph/0203166","kind":"arxiv","version":1}},"canonical_sha256":"bb381091e334272d0715ce9049e3bdc5788ecc5e5d7dc5a0340054a998fa9807","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb381091e334272d0715ce9049e3bdc5788ecc5e5d7dc5a0340054a998fa9807","first_computed_at":"2026-05-18T01:39:08.974142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:08.974142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2LeOOuKbYUal+1JbMajYinxpwh7uVuSDQm52uj4umb2QyyFAmSUjlwzfibtJH+jx9GQ5ABXHU1+65ZFQc7IgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:08.974690Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0203166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62ce953e5f307b850afb26df990f569e951ecc06bdec43f1d69c57461b449e54","sha256:f4f02240ee9139f3141cf56c2a607c574ad22884f9c82824d528dab08e87d071"],"state_sha256":"9a40031641deb10b07854fffffe1590dd9affeb28708604db59bc672bb1a3b21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eMqPaNgDK/XwyC0+YkFvDfELnpB6FsI1eocWsLS4Te4ddJljyC3Tg4ih3pOUV14vdiSubtcZiK88eVC8JO/0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:23:08.556402Z","bundle_sha256":"d3dc2b65a5e3141cafdb40e66521eb79d2d7ef70c3593bc46568b257516e7d4d"}}