Pith Number

pith:X2APJW4B

pith:2013:X2APJW4B56VUZTVVNTEQFRC264

not attested not anchored not stored refs pending

Five-loop numerical evaluation of critical exponents of the $\varphi^4$ theory

L.Ts. Adzhemyan, M.V. Kompaniets

arxiv:1309.5621 v1 · 2013-09-22 · cond-mat.stat-mech · 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{X2APJW4B56VUZTVVNTEQFRC264}

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

QED vacuum polarization in the Coulomb field of a nucleus: a method of high-order calculation

Receipt and verification

First computed	2026-05-18T01:47:34.531248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be80f4db81efab4cceb56cc902c45af711d600329f8b10c23f071aa16700a2a4

Aliases

arxiv: 1309.5621 · arxiv_version: 1309.5621v1 · doi: 10.48550/arxiv.1309.5621 · pith_short_12: X2APJW4B56VU · pith_short_16: X2APJW4B56VUZTVV · pith_short_8: X2APJW4B

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/X2APJW4B56VUZTVVNTEQFRC264 \
  | 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: be80f4db81efab4cceb56cc902c45af711d600329f8b10c23f071aa16700a2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30202cde32a1c3e1a0aa1a72c56051e10c52b2e7ee2ed3c9efba989d8358af84",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-09-22T18:04:47Z",
    "title_canon_sha256": "b866c279d5b8bdafc933df02123d99aec00af71eab063aeff08c8eccdc5b846a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5621",
    "kind": "arxiv",
    "version": 1
  }
}