Pith Number

pith:PRI7GRP3

pith:2011:PRI7GRP36KDC6GQZPS6CRARX53

not attested not anchored not stored refs pending

High-energy factorization and evolution with improved kinematics

Guillaume Beuf

arxiv:1109.0547 v1 · 2011-09-02 · 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{PRI7GRP36KDC6GQZPS6CRARX53}

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	2026-05-18T02:00:42.412736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c51f345fbf2862f1a197cbc288237eec13b3d78bdc4aa45dc79cb407e12cb41

Aliases

arxiv: 1109.0547 · arxiv_version: 1109.0547v1 · doi: 10.48550/arxiv.1109.0547 · pith_short_12: PRI7GRP36KDC · pith_short_16: PRI7GRP36KDC6GQZ · pith_short_8: PRI7GRP3

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/PRI7GRP36KDC6GQZPS6CRARX53 \
  | 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: 7c51f345fbf2862f1a197cbc288237eec13b3d78bdc4aa45dc79cb407e12cb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da89a561ee486ff04cb8c105e0d218d4e95f21be8a5f3ff6ca52d0f712ba725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-09-02T20:20:28Z",
    "title_canon_sha256": "e99a722df982ad12042ed05d9f19c1f2155d9517f1adc064e5aedb5a527a5dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0547",
    "kind": "arxiv",
    "version": 1
  }
}