Pith Number

pith:IBEC5XOI

pith:1994:IBEC5XOIGWDKTQ2CVSNUKCMJAY

not attested not anchored not stored refs pending

The critical O($N$) $\sigma$-model at dimension $2<d<4$: Hardy-Ramanujan distribution of quasi-primary fields and a collective fusion approach

Klaus Lang, Werner Ruehl

arxiv:hep-th/9401116 v2 · 1994-01-24 · 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{IBEC5XOIGWDKTQ2CVSNUKCMJAY}

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

Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $\epsilon$-expansion

Receipt and verification

First computed	2026-07-04T15:57:40.479161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40482eddc83586a9c342ac9b45098906185ca916260baa4f6a05dd4b0473e0f9

Aliases

arxiv: hep-th/9401116 · arxiv_version: hep-th/9401116v2 · doi: 10.48550/arxiv.hep-th/9401116 · pith_short_12: IBEC5XOIGWDK · pith_short_16: IBEC5XOIGWDKTQ2C · pith_short_8: IBEC5XOI

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/IBEC5XOIGWDKTQ2CVSNUKCMJAY \
  | 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: 40482eddc83586a9c342ac9b45098906185ca916260baa4f6a05dd4b0473e0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f621117d07a1208c72b15ec81a2a24ac04870e8041bca673f3fb2ab12d6a2125",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-01-24T16:20:54Z",
    "title_canon_sha256": "290d56d78ea321169d30b1c801c829b5903e669cc7b205b12f6c576eeeaed5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9401116",
    "kind": "arxiv",
    "version": 2
  }
}