Pith Number

pith:PJ5FPW4R

pith:1999:PJ5FPW4RPDDCETOGJ4BU63L2U6

not attested not anchored not stored refs pending

Renormalization Group Transformations under strong mixing conditions: gibbsianess and convergence of renormalized interactions

E.N.M. Cirillo, E. Olivieri, L. Bertini

arxiv:cond-mat/9905434 v1 · 1999-05-31 · 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{PJ5FPW4RPDDCETOGJ4BU63L2U6}

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	2026-05-18T01:39:28.808451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7a57db9178c6224dc64f034f6d7aa7a017c4c9ac2f4414188eead736525a00

Aliases

arxiv: cond-mat/9905434 · arxiv_version: cond-mat/9905434v1 · doi: 10.48550/arxiv.cond-mat/9905434 · pith_short_12: PJ5FPW4RPDDC · pith_short_16: PJ5FPW4RPDDCETOG · pith_short_8: PJ5FPW4R

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/PJ5FPW4RPDDCETOGJ4BU63L2U6 \
  | 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: 7a7a57db9178c6224dc64f034f6d7aa7a017c4c9ac2f4414188eead736525a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87eb50a99731455f87bd4fe5b42fc8b1f02196615b21745df08f670a0c85896f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-05-31T14:21:59Z",
    "title_canon_sha256": "aa26b0606d90dd5bdd1a4fa13817178850b0574e311222fa85e61f24413720a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9905434",
    "kind": "arxiv",
    "version": 1
  }
}