Pith Number

pith:7SZ6DG5E

pith:1998:7SZ6DG5ESCEV6R4VXO6I4KIC64

not attested not anchored not stored refs pending

Phase diagram of random lattice gases in the annealed limit

A. P. Vieira, L. L. Goncalves

arxiv:cond-mat/9809051 v2 · 1998-09-02 · 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{7SZ6DG5ESCEV6R4VXO6I4KIC64}

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	2026-05-18T04:08:54.407736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb3e19ba490895f4795bbbc8e2902f722fc6a6250a4ef694da8d59968814829

Aliases

arxiv: cond-mat/9809051 · arxiv_version: cond-mat/9809051v2 · doi: 10.48550/arxiv.cond-mat/9809051 · pith_short_12: 7SZ6DG5ESCEV · pith_short_16: 7SZ6DG5ESCEV6R4V · pith_short_8: 7SZ6DG5E

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/7SZ6DG5ESCEV6R4VXO6I4KIC64 \
  | 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: fcb3e19ba490895f4795bbbc8e2902f722fc6a6250a4ef694da8d59968814829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65408e0cd37be45fc4d5fbc05ff4655034ffc898d5f5e56c64d9cd23c07a068c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-09-02T20:50:13Z",
    "title_canon_sha256": "87aa01129051c544b25eb222718fa3e55b4c3f9680467be41b439bc9ad08cc4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9809051",
    "kind": "arxiv",
    "version": 2
  }
}