Pith Number

pith:P3KYX4HY

pith:2013:P3KYX4HY34WPKPTLSCGJBZLUH6

not attested not anchored not stored refs pending

Three-loop beta-functions and anomalous dimensions in the Standard Model

A.F. Pikelner, A.V. Bednyakov, V.N. Velizhanin

arxiv:1309.1643 v1 · 2013-09-06 · 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{P3KYX4HY34WPKPTLSCGJBZLUH6}

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	2026-05-18T01:47:49.049030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed58bf0f8df2cf53e6b908c90e5743f9714af027344f024c566855cf4ed6771

Aliases

arxiv: 1309.1643 · arxiv_version: 1309.1643v1 · doi: 10.48550/arxiv.1309.1643 · pith_short_12: P3KYX4HY34WP · pith_short_16: P3KYX4HY34WPKPTL · pith_short_8: P3KYX4HY

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/P3KYX4HY34WPKPTLSCGJBZLUH6 \
  | 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: 7ed58bf0f8df2cf53e6b908c90e5743f9714af027344f024c566855cf4ed6771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade7a85a12e1b98a24c80404cfbf9169c9686ef114c906c7bf3063cd2d1a0aae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-09-06T13:58:29Z",
    "title_canon_sha256": "4d8789271618e892365c2fedfd870a221db5290649bdb55d2604ab8ee2a5fa88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1643",
    "kind": "arxiv",
    "version": 1
  }
}