Pith Number

pith:26WZCCE2

pith:2011:26WZCCE2FZZFV272HMXK25P5MC

not attested not anchored not stored refs pending

Critical exponents from two-particle irreducible 1/N expansion

Hirotsugu Fujii, Kazunori Itakura, Osamu Morimatsu, Yohei Saito

arxiv:1108.1266 v1 · 2011-08-05 · 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{26WZCCE2FZZFV272HMXK25P5MC}

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	2026-05-18T03:23:02.619787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ad91089a2e725aebfa3b2ead75fd60a6f05c016740def25704450dd1bd9613

Aliases

arxiv: 1108.1266 · arxiv_version: 1108.1266v1 · doi: 10.48550/arxiv.1108.1266 · pith_short_12: 26WZCCE2FZZF · pith_short_16: 26WZCCE2FZZFV272 · pith_short_8: 26WZCCE2

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/26WZCCE2FZZFV272HMXK25P5MC \
  | 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: d7ad91089a2e725aebfa3b2ead75fd60a6f05c016740def25704450dd1bd9613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848c64d260a099c873fcff84d47e2a214559379362294d41f26e0a653bb254b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-05T07:43:39Z",
    "title_canon_sha256": "2dbcf1a90afa0bdf6fa04fb7f4629769660bd47afcea4c2894a0680c4a2a571f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1266",
    "kind": "arxiv",
    "version": 1
  }
}