Pith Number

pith:XDR2WAZR

pith:2016:XDR2WAZRW3FYLEHI2CZLNR4COI

not attested not anchored not stored refs pending

Decoupling the NLO coupled QED $\otimes$ QCD, DGLAP evolution equations,Using Laplace Transform Method

Fatemeh Taghavi-Shahri, Marzieh Mottaghizadeh, Parvin Eslami

arxiv:1607.07754 v3 · 2016-07-26 · 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{XDR2WAZRW3FYLEHI2CZLNR4COI}

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	2026-05-18T00:40:51.612255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e3ab0331b6cb8590e8d0b2b6c78272249bdd7fd02d502bf9f904bfd0432d1d

Aliases

arxiv: 1607.07754 · arxiv_version: 1607.07754v3 · doi: 10.48550/arxiv.1607.07754 · pith_short_12: XDR2WAZRW3FY · pith_short_16: XDR2WAZRW3FYLEHI · pith_short_8: XDR2WAZR

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/XDR2WAZRW3FYLEHI2CZLNR4COI \
  | 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: b8e3ab0331b6cb8590e8d0b2b6c78272249bdd7fd02d502bf9f904bfd0432d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22366226bee4ed0fd2e4a41ddf29fff970b8da5f5b3765232083ae5226e02acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-07-26T15:27:24Z",
    "title_canon_sha256": "d7650e59222b7e85ca6f4e5137c51cd15de58d9f315b183d0022050c827ceb4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07754",
    "kind": "arxiv",
    "version": 3
  }
}