Pith Number

pith:TX5C2LFO

pith:2012:TX5C2LFOUZT4DAYE5K7Q3TWVUB

not attested not anchored not stored refs pending

Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case

J. H. K\"uhn, J. Rittinger, K. G. Chetyrkin, P. A. Baikov

arxiv:1206.1288 v2 · 2012-06-06 · hep-ph · hep-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{TX5C2LFOUZT4DAYE5K7Q3TWVUB}

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	2026-05-18T01:57:06.975863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfa2d2caea667c18304eabf0dced5a0572c630e8cb6017491742654fbecf77b

Aliases

arxiv: 1206.1288 · arxiv_version: 1206.1288v2 · doi: 10.48550/arxiv.1206.1288 · pith_short_12: TX5C2LFOUZT4 · pith_short_16: TX5C2LFOUZT4DAYE · pith_short_8: TX5C2LFO

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/TX5C2LFOUZT4DAYE5K7Q3TWVUB \
  | 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: 9dfa2d2caea667c18304eabf0dced5a0572c630e8cb6017491742654fbecf77b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9fcd5f48c459f76ab4e6f29d165ca9e9066c29c1e8dc7ca300f276e395fb3cc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-06T17:52:57Z",
    "title_canon_sha256": "c2aa660637faeb8d53ce11b71a3833e7f43cc747191f72103fd29c33f36cbb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1288",
    "kind": "arxiv",
    "version": 2
  }
}