Pith Number

pith:ZA7QHDQV

pith:2001:ZA7QHDQVAW6J5Z2O7V7YMBPIXN

not attested not anchored not stored refs pending

Functional Callan-Symanzik Equation for the Coulomb Gas

Janos Polonyi, Jean Richert, Sebastiao Correia

arxiv:cond-mat/0108048 v1 · 2001-08-02 · cond-mat.str-el · 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{ZA7QHDQVAW6J5Z2O7V7YMBPIXN}

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	2026-05-18T04:17:53.499151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83f038e1505bc9ee74efd7f8605e8bb5a7cc548cbd9d9e7ffa3a81f5ea0d667

Aliases

arxiv: cond-mat/0108048 · arxiv_version: cond-mat/0108048v1 · doi: 10.48550/arxiv.cond-mat/0108048 · pith_short_12: ZA7QHDQVAW6J · pith_short_16: ZA7QHDQVAW6J5Z2O · pith_short_8: ZA7QHDQV

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/ZA7QHDQVAW6J5Z2O7V7YMBPIXN \
  | 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: c83f038e1505bc9ee74efd7f8605e8bb5a7cc548cbd9d9e7ffa3a81f5ea0d667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7289a0abade8238c0cce6dd494448b7decd815880e4785ed11e8eb5065dc72",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2001-08-02T20:37:26Z",
    "title_canon_sha256": "0ff8ad03ab6249737b1b51d6009e6ef96e1092a5d149dba6a6c84cd7b2dfdb50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0108048",
    "kind": "arxiv",
    "version": 1
  }
}