Pith Number

pith:VZ7XZL62

pith:2005:VZ7XZL627766N53CIVKY5ASOO5

not attested not anchored not stored refs pending

Perturbatively Stable Resummed Small x Evolution Kernels

Guido Altarelli, Richard D. Ball, Stefano Forte

arxiv:hep-ph/0512237 v2 · 2005-12-19 · 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{VZ7XZL627766N53CIVKY5ASOO5}

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

PDF evolution in alternative factorisation schemes

Receipt and verification

First computed	2026-07-04T17:24:05.924629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7f7cafdafffde6f76245558e824e7775e7c3cb5fd546e8a794a395af48bc66

Aliases

arxiv: hep-ph/0512237 · arxiv_version: hep-ph/0512237v2 · doi: 10.48550/arxiv.hep-ph/0512237 · pith_short_12: VZ7XZL627766 · pith_short_16: VZ7XZL627766N53C · pith_short_8: VZ7XZL62

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/VZ7XZL627766N53CIVKY5ASOO5 \
  | 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: ae7f7cafdafffde6f76245558e824e7775e7c3cb5fd546e8a794a395af48bc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2aa9931b8e235daca987792b088e18f16a60fffca7cb910d9bcac1ed1a7eed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-19T16:50:02Z",
    "title_canon_sha256": "24c41778e2719a1b27fa61f2fe3809078b0a3fa477a143be665b0c81f9975cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512237",
    "kind": "arxiv",
    "version": 2
  }
}