Pith Number

pith:CRB4BNXJ

pith:2007:CRB4BNXJ7INCJBMXA7LTM3BVUU

not attested not anchored not stored refs pending

Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. I: Effective Average Action Formalism

Gilles Tarjus, Matthieu Tissier

arxiv:0712.3550 v1 · 2007-12-20 · 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{CRB4BNXJ7INCJBMXA7LTM3BVUU}

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	2026-05-18T04:17:25.355084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1443c0b6e9fa1a24859707d7366c35a509922768fb4ed8aa055496932fda3a1a

Aliases

arxiv: 0712.3550 · arxiv_version: 0712.3550v1 · doi: 10.48550/arxiv.0712.3550 · pith_short_12: CRB4BNXJ7INC · pith_short_16: CRB4BNXJ7INCJBMX · pith_short_8: CRB4BNXJ

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/CRB4BNXJ7INCJBMXA7LTM3BVUU \
  | 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: 1443c0b6e9fa1a24859707d7366c35a509922768fb4ed8aa055496932fda3a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886db77caf908d8f79426b2dadf625776f444ee2f8186887df346e872f616a89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-12-20T19:50:27Z",
    "title_canon_sha256": "f826254b2eca3cb2978c9d8afdd89844e3d2a3af7a9e98a42f74e8281d0835bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3550",
    "kind": "arxiv",
    "version": 1
  }
}