Pith Number

pith:3QVUJSM4

pith:2002:3QVUJSM4UKKP2QDWU5IVAE4QNQ

not attested not anchored not stored refs pending

Flow Equations without Mean Field Ambiguity

Christof Wetterich, Joerg Jaeckel

arxiv:hep-ph/0207094 v2 · 2002-07-05 · hep-ph · cond-mat · nucl-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{3QVUJSM4UKKP2QDWU5IVAE4QNQ}

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

Fermions and the Renormalisation Group at Large N

Receipt and verification

First computed	2026-07-04T16:34:15.160844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2b44c99ca294fd4076a7515013906c34d030e4a9e0b446a36a66290d67c304

Aliases

arxiv: hep-ph/0207094 · arxiv_version: hep-ph/0207094v2 · doi: 10.48550/arxiv.hep-ph/0207094 · pith_short_12: 3QVUJSM4UKKP · pith_short_16: 3QVUJSM4UKKP2QDW · pith_short_8: 3QVUJSM4

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/3QVUJSM4UKKP2QDWU5IVAE4QNQ \
  | 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: dc2b44c99ca294fd4076a7515013906c34d030e4a9e0b446a36a66290d67c304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba88b0422b36cc211a08fb2b63e5c079b06f572ef1e49bafd381beb84813c1a0",
    "cross_cats_sorted": [
      "cond-mat",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-07-05T19:34:07Z",
    "title_canon_sha256": "313d1da7806dac66154e7954193457faf2425bacf2fb7615a9a117aa1f1889b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0207094",
    "kind": "arxiv",
    "version": 2
  }
}