Pith Number

pith:MNKN24EY

pith:2000:MNKN24EYM7NFQ2OZLLE3ULUHZQ

not attested not anchored not stored refs pending

Nonasymptotic critical behavior from field theory

C. Bagnuls, C. Bervillier

arxiv:hep-th/0012130 v1 · 2000-12-15 · hep-th · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNKN24EYM7NFQ2OZLLE3ULUHZQ}

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	2026-05-18T00:57:05.689973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6354dd709867da5869d95ac9ba2e87cc06f8c23dada6d1a0933d0d38450811ce

Aliases

arxiv: hep-th/0012130 · arxiv_version: hep-th/0012130v1 · doi: 10.48550/arxiv.hep-th/0012130 · pith_short_12: MNKN24EYM7NF · pith_short_16: MNKN24EYM7NFQ2OZ · pith_short_8: MNKN24EY

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/MNKN24EYM7NFQ2OZLLE3ULUHZQ \
  | 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: 6354dd709867da5869d95ac9ba2e87cc06f8c23dada6d1a0933d0d38450811ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7e24206dfdc056d6698eacd1eef7354d011fd58a41979d878e12e3c9e0f748",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-15T09:20:46Z",
    "title_canon_sha256": "6cc88c45c178f94862468b8382b73642b6a423323279153c3fe3fdf1484d5f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012130",
    "kind": "arxiv",
    "version": 1
  }
}