Pith Number

pith:MUR2NNDN

pith:1998:MUR2NNDNFYGVFQVY6YFXFI6ZCS

not attested not anchored not stored refs pending

Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions

A. Mazel, E. Presutti, J. L. Lebowitz

arxiv:cond-mat/9809145 v1 · 1998-09-09 · cond-mat · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUR2NNDNFYGVFQVY6YFXFI6ZCS}

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	2026-05-18T01:39:30.056606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6523a6b46d2e0d52c2b8f60b72a3d9148bea4fdefe9932a8dc04f1c67d7823fe

Aliases

arxiv: cond-mat/9809145 · arxiv_version: cond-mat/9809145v1 · doi: 10.48550/arxiv.cond-mat/9809145 · pith_short_12: MUR2NNDNFYGV · pith_short_16: MUR2NNDNFYGVFQVY · pith_short_8: MUR2NNDN

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/MUR2NNDNFYGVFQVY6YFXFI6ZCS \
  | 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: 6523a6b46d2e0d52c2b8f60b72a3d9148bea4fdefe9932a8dc04f1c67d7823fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb242a91cc4c57c40ed642a98f90a5a634ab6512291122ba6718815587f6083",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1998-09-09T17:30:12Z",
    "title_canon_sha256": "dcd5fc52e8de62ebb337794d495d8ebb0fde6ac18b3344c2115ab9de28b5e777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9809145",
    "kind": "arxiv",
    "version": 1
  }
}