{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:RSEH7IJSSM425QBHWCRGD35VIG","short_pith_number":"pith:RSEH7IJS","canonical_record":{"source":{"id":"hep-ph/0107282","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-07-27T00:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"5295433e92b482f6b8a21fd02be7af647602d672c8a5757366e4707bf79cbfeb","abstract_canon_sha256":"590becbdc534b09ba4a5319b169dd1f756998a87507f71d64ceb1d9b7ce65a3a"},"schema_version":"1.0"},"canonical_sha256":"8c887fa1329339aec027b0a261efb541883b2a60040e3d68b54f838252bbb1f6","source":{"kind":"arxiv","id":"hep-ph/0107282","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0107282","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0107282v2","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0107282","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"RSEH7IJSSM42","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"RSEH7IJSSM425QBH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"RSEH7IJS","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:RSEH7IJSSM425QBHWCRGD35VIG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0107282","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-07-27T00:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"5295433e92b482f6b8a21fd02be7af647602d672c8a5757366e4707bf79cbfeb","abstract_canon_sha256":"590becbdc534b09ba4a5319b169dd1f756998a87507f71d64ceb1d9b7ce65a3a"},"schema_version":"1.0"},"canonical_sha256":"8c887fa1329339aec027b0a261efb541883b2a60040e3d68b54f838252bbb1f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:26.455409Z","signature_b64":"a55rpZ3/WkZuzX0KiR+/UjmgkyhxgIDKf34u3/XFbs9XbDYB/TyfeVze6M1MyOHKZ6sJoBsXM2Ixu3hiba4rCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c887fa1329339aec027b0a261efb541883b2a60040e3d68b54f838252bbb1f6","last_reissued_at":"2026-05-18T04:13:26.454836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:26.454836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0107282","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":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMqj5EKoCGvlaZ9ZCgBvRxPI5Xl9W8BxAwFfG8MxZz7kSJsQA6VVt3CYG/9gNkMLGG4nWdquXwt+dslMntAkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:29:02.643973Z"},"content_sha256":"f759918d5e45f0ff3297b02ebf7ced4681e9788b75f50011ce4ae851ff6a15c7","schema_version":"1.0","event_id":"sha256:f759918d5e45f0ff3297b02ebf7ced4681e9788b75f50011ce4ae851ff6a15c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:RSEH7IJSSM425QBHWCRGD35VIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Perturbation Theory in analyzing some QCD observables","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D.V. Shirkov","submitted_at":"2001-07-27T00:21:27Z","abstract_excerpt":"The paper is devoted to application of recently devised ghost-free Analytic Perturbation Theory (APT) for analysis of some QCD observables. We start with the discussion of the main problem of the perturbative QCD -- ghost singularities and with the resume of this trouble solution within the APT.\n  By a few examples in the various energy and momentum transfer regions (with the flavor number f=3, 4 and 5) we demonstrate the effect of improved convergence of the APT modified perturbative QCD expansion. Our first observation is that in the APT analysis the three-loop contribution $\\sim \\alpha_s^3$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0107282","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":"2026-05-18T04:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sup5z1aKlT70VlnRrKbR0vR8uBVKgqNIAM+zN8nb+esv6Ozj1ZS+F8N5NSNHVXNlW51DitANv0aZ89h5NJQfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:29:02.644688Z"},"content_sha256":"7757641bd2185b7957fd51301d3a3793488a5d30503b80a47d500a62220230ea","schema_version":"1.0","event_id":"sha256:7757641bd2185b7957fd51301d3a3793488a5d30503b80a47d500a62220230ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSEH7IJSSM425QBHWCRGD35VIG/bundle.json","state_url":"https://pith.science/pith/RSEH7IJSSM425QBHWCRGD35VIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSEH7IJSSM425QBHWCRGD35VIG/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":"2026-06-10T07:29:02Z","links":{"resolver":"https://pith.science/pith/RSEH7IJSSM425QBHWCRGD35VIG","bundle":"https://pith.science/pith/RSEH7IJSSM425QBHWCRGD35VIG/bundle.json","state":"https://pith.science/pith/RSEH7IJSSM425QBHWCRGD35VIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSEH7IJSSM425QBHWCRGD35VIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:RSEH7IJSSM425QBHWCRGD35VIG","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":"590becbdc534b09ba4a5319b169dd1f756998a87507f71d64ceb1d9b7ce65a3a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-07-27T00:21:27Z","title_canon_sha256":"5295433e92b482f6b8a21fd02be7af647602d672c8a5757366e4707bf79cbfeb"},"schema_version":"1.0","source":{"id":"hep-ph/0107282","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0107282","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0107282v2","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0107282","created_at":"2026-05-18T04:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"RSEH7IJSSM42","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"RSEH7IJSSM425QBH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"RSEH7IJS","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7757641bd2185b7957fd51301d3a3793488a5d30503b80a47d500a62220230ea","target":"graph","created_at":"2026-05-18T04:13:26Z","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 paper is devoted to application of recently devised ghost-free Analytic Perturbation Theory (APT) for analysis of some QCD observables. We start with the discussion of the main problem of the perturbative QCD -- ghost singularities and with the resume of this trouble solution within the APT.\n  By a few examples in the various energy and momentum transfer regions (with the flavor number f=3, 4 and 5) we demonstrate the effect of improved convergence of the APT modified perturbative QCD expansion. Our first observation is that in the APT analysis the three-loop contribution $\\sim \\alpha_s^3$","authors_text":"D.V. Shirkov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-07-27T00:21:27Z","title":"Analytic Perturbation Theory in analyzing some QCD observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0107282","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:f759918d5e45f0ff3297b02ebf7ced4681e9788b75f50011ce4ae851ff6a15c7","target":"record","created_at":"2026-05-18T04:13:26Z","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":"590becbdc534b09ba4a5319b169dd1f756998a87507f71d64ceb1d9b7ce65a3a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-07-27T00:21:27Z","title_canon_sha256":"5295433e92b482f6b8a21fd02be7af647602d672c8a5757366e4707bf79cbfeb"},"schema_version":"1.0","source":{"id":"hep-ph/0107282","kind":"arxiv","version":2}},"canonical_sha256":"8c887fa1329339aec027b0a261efb541883b2a60040e3d68b54f838252bbb1f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c887fa1329339aec027b0a261efb541883b2a60040e3d68b54f838252bbb1f6","first_computed_at":"2026-05-18T04:13:26.454836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:26.454836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a55rpZ3/WkZuzX0KiR+/UjmgkyhxgIDKf34u3/XFbs9XbDYB/TyfeVze6M1MyOHKZ6sJoBsXM2Ixu3hiba4rCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:26.455409Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0107282","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f759918d5e45f0ff3297b02ebf7ced4681e9788b75f50011ce4ae851ff6a15c7","sha256:7757641bd2185b7957fd51301d3a3793488a5d30503b80a47d500a62220230ea"],"state_sha256":"78e208baf9a15a8cb5b22a4ed47b3fbeb1608fd70bf2514b98b473d40a41600f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"usu0ighFTCSCyIem85jx7gfC0M3XeYMx+LuTX6IJA40Pnp6MjUrWY1sK0rK5yfYS8g029Qf7cad4ZqdbkjXPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:29:02.648918Z","bundle_sha256":"92ce37d0be2d6b4296a31faccc3b8d3db0d7f8bc62ee78413ca8af8091d8d79c"}}