Pith Number

pith:BKLPDLLC

pith:2010:BKLPDLLC6AAOGWF3CHXJZGCLAV

not attested not anchored not stored refs pending

Decoupling the NLO coupled DGLAP evolution equations: an analytic solution to pQCD

Douglas W. McKay, Loyal Durand, Martin M. Block, Phuoc Ha

arxiv:1005.2556 v1 · 2010-05-14 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKLPDLLC6AAOGWF3CHXJZGCLAV}

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

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	2026-05-18T02:24:06.980350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a96f1ad62f000e358bb11ee9c984b0554716abd5058faf69f5d29369bc181c6

Aliases

arxiv: 1005.2556 · arxiv_version: 1005.2556v1 · doi: 10.48550/arxiv.1005.2556 · pith_short_12: BKLPDLLC6AAO · pith_short_16: BKLPDLLC6AAOGWF3 · pith_short_8: BKLPDLLC

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/BKLPDLLC6AAOGWF3CHXJZGCLAV \
  | 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: 0a96f1ad62f000e358bb11ee9c984b0554716abd5058faf69f5d29369bc181c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d223ea62a31d875827eb4189b5c58a5892e327e4a00e2440553a1edf6094407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-05-14T15:45:56Z",
    "title_canon_sha256": "b76ad7ad73a01cd667a91152cd063eebd0e645509614498f38fb5470a5639c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2556",
    "kind": "arxiv",
    "version": 1
  }
}