Pith Number

pith:4NLVFHIL

pith:2000:4NLVFHIL6GAC3AEGWVZTDHL5KF

not attested not anchored not stored refs pending

Singlet parton evolution at small x: a theoretical update

Guido Altarelli, Richard D. Ball, Stefano Forte

arxiv:hep-ph/0001157 v1 · 2000-01-17 · 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{4NLVFHIL6GAC3AEGWVZTDHL5KF}

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.

Cited by

1 paper in Pith

Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

Receipt and verification

First computed	2026-07-04T14:27:27.880182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e357529d0bf1802d8086b573319d7d514d8a4b478087b1de0739e5581c7a042a

Aliases

arxiv: hep-ph/0001157 · arxiv_version: hep-ph/0001157v1 · doi: 10.48550/arxiv.hep-ph/0001157 · pith_short_12: 4NLVFHIL6GAC · pith_short_16: 4NLVFHIL6GAC3AEG · pith_short_8: 4NLVFHIL

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/4NLVFHIL6GAC3AEGWVZTDHL5KF \
  | 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: e357529d0bf1802d8086b573319d7d514d8a4b478087b1de0739e5581c7a042a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0021f5000a06a987e9374446d4251d41dd3003b19f59fcb81174d4e974478b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-01-17T11:20:48Z",
    "title_canon_sha256": "5fe73e50ace1ccb2542217482af911d42601af01e1063ba3bb72e85bb1026c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0001157",
    "kind": "arxiv",
    "version": 1
  }
}