Pith Number

pith:BE2ZA4VG

pith:1999:BE2ZA4VGQPLHPHS2KAPMKITWNF

not attested not anchored not stored refs pending

Classification of phase transitions in small systems

Jens Harting, Oliver Muelken, Peter Borrmann

arxiv:cond-mat/9909184 v5 · 1999-09-13 · cond-mat.stat-mech · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BE2ZA4VGQPLHPHS2KAPMKITWNF}

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.

Cited by

1 paper in Pith

Phase transitions and finite-size effects in integrable virial statistical models

Receipt and verification

First computed	2026-07-04T16:13:16.181263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09359072a683d6779e5a501ec522766959c024456c3f601333bac54f1e347167

Aliases

arxiv: cond-mat/9909184 · arxiv_version: cond-mat/9909184v5 · doi: 10.48550/arxiv.cond-mat/9909184 · pith_short_12: BE2ZA4VGQPLH · pith_short_16: BE2ZA4VGQPLHPHS2 · pith_short_8: BE2ZA4VG

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/BE2ZA4VGQPLHPHS2KAPMKITWNF \
  | 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: 09359072a683d6779e5a501ec522766959c024456c3f601333bac54f1e347167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03fa096c874397ed028d7d93c1c5e258e8f1a4da384c8f52bbf5210a55e3433",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-09-13T15:06:26Z",
    "title_canon_sha256": "e86d749d5b815719b78068a60d489bc9de7f91839db3bc27ec60484326cc9657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9909184",
    "kind": "arxiv",
    "version": 5
  }
}