Pith Number

pith:23EDLOZK

pith:2015:23EDLOZKX5TUGFSQMCUO2VGH5B

not attested not anchored not stored refs pending

Decoupling of the DGLAP evolution equations by Laplace method

F. Teimoury, G.R.Boroun, S.Zarrin

arxiv:1509.06520 v1 · 2015-09-22 · 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{23EDLOZKX5TUGFSQMCUO2VGH5B}

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	2026-05-18T01:29:31.277172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c835bb2abf6743165060a8ed54c7e859880d9a340115fab881c5425138b0aa

Aliases

arxiv: 1509.06520 · arxiv_version: 1509.06520v1 · doi: 10.48550/arxiv.1509.06520 · pith_short_12: 23EDLOZKX5TU · pith_short_16: 23EDLOZKX5TUGFSQ · pith_short_8: 23EDLOZK

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/23EDLOZKX5TUGFSQMCUO2VGH5B \
  | 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: d6c835bb2abf6743165060a8ed54c7e859880d9a340115fab881c5425138b0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a534a8b55e9d3c0254fa9e15c7e0dda245bdb0349854c88e9d82774d5dd25e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-09-22T09:21:10Z",
    "title_canon_sha256": "9ecf79c76031a97dd7ed32bb312780c0a1a8f2e996966956eda395397049cd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06520",
    "kind": "arxiv",
    "version": 1
  }
}