Pith Number

pith:HHEA4QIP

pith:2009:HHEA4QIP6XDKL5T7BP5O6RY5GJ

not attested not anchored not stored refs pending

Altarelli-Parisi Equation in Non-Equilibrium QCD

Gouranga C. Nayak

arxiv:0905.3922 v3 · 2009-05-25 · hep-ph · hep-th · nucl-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{HHEA4QIP6XDKL5T7BP5O6RY5GJ}

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	2026-05-18T03:40:03.833688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c80e410ff5c6a5f67f0bfaef471d3249656db956fa3e218daaae9c4a4c0b39

Aliases

arxiv: 0905.3922 · arxiv_version: 0905.3922v3 · doi: 10.48550/arxiv.0905.3922 · pith_short_12: HHEA4QIP6XDK · pith_short_16: HHEA4QIP6XDKL5T7 · pith_short_8: HHEA4QIP

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/HHEA4QIP6XDKL5T7BP5O6RY5GJ \
  | 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: 39c80e410ff5c6a5f67f0bfaef471d3249656db956fa3e218daaae9c4a4c0b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e66a949ba6ba1ddf78312259ab5fa43270f8efc48c3a87afd36b813ad6e8686",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-05-25T13:40:55Z",
    "title_canon_sha256": "168d881d97ad98aee7e7c00051e76c093462383b1ad1356d57e70639644eae65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3922",
    "kind": "arxiv",
    "version": 3
  }
}