Pith Number

pith:QPFAJAKB

pith:2000:QPFAJAKB2J76CKVONY7OVNIMVK

not attested not anchored not stored refs pending

Calculating three-loop diagrams in Heavy Quark Effective Theory with integration-by-parts recurrence relations

A.G.Grozin

arxiv:hep-ph/0002266 v2 · 2000-02-25 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPFAJAKB2J76CKVONY7OVNIMVK}

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.

Receipt and verification

First computed	2026-05-18T04:23:55.290658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ca048141d27fe12aae6e3eeab50caa917ec138ed59e0f76d417ea6570100ba

Aliases

arxiv: hep-ph/0002266 · arxiv_version: hep-ph/0002266v2 · doi: 10.48550/arxiv.hep-ph/0002266 · pith_short_12: QPFAJAKB2J76 · pith_short_16: QPFAJAKB2J76CKVO · pith_short_8: QPFAJAKB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QPFAJAKB2J76CKVONY7OVNIMVK \
  | 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: 83ca048141d27fe12aae6e3eeab50caa917ec138ed59e0f76d417ea6570100ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f897af18ccee16d77d8ebebb240fafc16807889833313b1f251ef6de95752ae9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-02-25T12:37:31Z",
    "title_canon_sha256": "c5dbb841f4308c8da04b24a8cfed1fd75d421273940133199f9d1e1a730ea995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0002266",
    "kind": "arxiv",
    "version": 2
  }
}