Pith Number

pith:AKF2PZAZ

pith:2005:AKF2PZAZFYXHS3FGEHVPLZVHDZ

not attested not anchored not stored refs pending

Collinear Limits in QCD from MHV Rules

E.W.N. Glover, P. Marquard, T.G. Birthwright, V.V. Khoze

arxiv:hep-ph/0505219 v1 · 2005-05-25 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKF2PZAZFYXHS3FGEHVPLZVHDZ}

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	2026-07-04T16:55:42.063348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7

Aliases

arxiv: hep-ph/0505219 · arxiv_version: hep-ph/0505219v1 · doi: 10.48550/arxiv.hep-ph/0505219 · pith_short_12: AKF2PZAZFYXH · pith_short_16: AKF2PZAZFYXHS3FG · pith_short_8: AKF2PZAZ

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/AKF2PZAZFYXHS3FGEHVPLZVHDZ \
  | 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: 028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff6bd685e077a339a02d933e9a75dcbcfa258cb00b4b52c07863b079a6fad36",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-05-25T16:19:58Z",
    "title_canon_sha256": "fffee6aba0e0ea8325727534305a13f1dfa511e7906486df2e3de9771e6af8eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0505219",
    "kind": "arxiv",
    "version": 1
  }
}