Pith Number

pith:SU3JFRJM

pith:1998:SU3JFRJMKVDABUZQMHG227NEHU

not attested not anchored not stored refs pending

Exact renormalization group flow equations for free energies and N-point functions in uniform external fields

Geoffrey R. Golner

arxiv:hep-th/9801124 v3 · 1998-01-18 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SU3JFRJMKVDABUZQMHG227NEHU}

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	2026-07-04T14:33:10.295926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

953692c52c554600d33061cdad7da43d02d225d348ab7e6952c223dd731120a8

Aliases

arxiv: hep-th/9801124 · arxiv_version: hep-th/9801124v3 · doi: 10.48550/arxiv.hep-th/9801124 · pith_short_12: SU3JFRJMKVDA · pith_short_16: SU3JFRJMKVDABUZQ · pith_short_8: SU3JFRJM

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/SU3JFRJMKVDABUZQMHG227NEHU \
  | 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: 953692c52c554600d33061cdad7da43d02d225d348ab7e6952c223dd731120a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f9be7580eb4d68113b09025fdd7e14a176458c0335233bb887dbaa8cfd34c9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-01-18T21:18:46Z",
    "title_canon_sha256": "4482f8e80e684e7084512e8ae0b2980ace6c529916a6ce093bc8b14ca1d12816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9801124",
    "kind": "arxiv",
    "version": 3
  }
}