pith. sign in
Pith Number

pith:MQDSGED6

pith:2010:MQDSGED6ITYTK2RQVWJ3K5CW52
not attested not anchored not stored refs pending

Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT

A. P. Bakulev, N. G. Stefanis, S. V. Mikhailov

arxiv:1004.4125 v4 · 2010-04-23 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQDSGED6ITYTK2RQVWJ3K5CW52}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-05-18T04:37:33.120557Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

640723107e44f1356a30ad93b57456eeb03890642f3fc39a6010c9b242d053c8

Aliases

arxiv: 1004.4125 · arxiv_version: 1004.4125v4 · doi: 10.48550/arxiv.1004.4125 · pith_short_12: MQDSGED6ITYT · pith_short_16: MQDSGED6ITYTK2RQ · pith_short_8: MQDSGED6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQDSGED6ITYTK2RQVWJ3K5CW52 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 640723107e44f1356a30ad93b57456eeb03890642f3fc39a6010c9b242d053c8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "06e15974dc8675b016c85e6ece7a2973d538c0e0e7932b496e975040a93c66fd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-04-23T13:13:47Z",
    "title_canon_sha256": "3bf12c411a240d30629c440e9f29029992cbe301b83b4cfcea2024f72e861fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4125",
    "kind": "arxiv",
    "version": 4
  }
}