Pith Number

pith:46RNJAN3

pith:1996:46RNJAN3PXRJVMUI5TQYPEBTNS

not attested not anchored not stored refs pending

Equation of state and coarse grained free energy for matrix models

C. Wetterich, J. Berges

arxiv:hep-th/9609019 v1 · 1996-09-02 · 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{46RNJAN3PXRJVMUI5TQYPEBTNS}

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

Functional Renormalization Group meets Computational Fluid Dynamics: RG flows in a multi-dimensional field space

Receipt and verification

First computed	2026-07-04T16:02:21.774188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a2d481bb7de29ab288ece18790336c935c2d5c5a6756a802014cf1719cd6ce

Aliases

arxiv: hep-th/9609019 · arxiv_version: hep-th/9609019v1 · doi: 10.48550/arxiv.hep-th/9609019 · pith_short_12: 46RNJAN3PXRJ · pith_short_16: 46RNJAN3PXRJVMUI · pith_short_8: 46RNJAN3

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/46RNJAN3PXRJVMUI5TQYPEBTNS \
  | 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: e7a2d481bb7de29ab288ece18790336c935c2d5c5a6756a802014cf1719cd6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e45a9eae9da0145440edd54bd4386d66fe08da6ceeb154066d4fc28f54e45a",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-09-02T09:20:24Z",
    "title_canon_sha256": "f4a9964707cc55346985dc74c74882cd0872c20e37bb4f939e4a3796f2c402f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9609019",
    "kind": "arxiv",
    "version": 1
  }
}