Pith Number

pith:4M464BLS

pith:1997:4M464BLSA42T2ARGU5E3IOGLPQ

not attested not anchored not stored refs pending

Analytic Approximation to the GLAP evolution of $F_2(x,Q^2)$ in the small-$x$ region

A. Saalfeld, L. Mankiewicz, T. Weigl (TU Munich)

arxiv:hep-ph/9706330 v1 · 1997-06-11 · 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{4M464BLSA42T2ARGU5E3IOGLPQ}

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	2026-07-04T14:30:18.487861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e339ee057207353d0226a749b438cb7c2dc1822de1f4cf2db690a58f03270f45

Aliases

arxiv: hep-ph/9706330 · arxiv_version: hep-ph/9706330v1 · doi: 10.48550/arxiv.hep-ph/9706330 · pith_short_12: 4M464BLSA42T · pith_short_16: 4M464BLSA42T2ARG · pith_short_8: 4M464BLS

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/4M464BLSA42T2ARGU5E3IOGLPQ \
  | 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: e339ee057207353d0226a749b438cb7c2dc1822de1f4cf2db690a58f03270f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdf4c4604e9dd350817f3ebad2d2ac7376eebc2543733bd2dfdb972eb1b75a9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-06-11T15:47:50Z",
    "title_canon_sha256": "ab5a96a7b00836902521ffdf4196cb38de9684a7b2d12ae410162c16ab08efa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9706330",
    "kind": "arxiv",
    "version": 1
  }
}