Pith Number

pith:FHYY3KZ7

pith:1998:FHYY3KZ7EFNQOSAMWZA6EYTT7Z

not attested not anchored not stored refs pending

Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System

Peter F. Arndt, Thomas Heinzel, Vladimir Rittenberg

arxiv:cond-mat/9809123 v2 · 1998-09-07 · 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{FHYY3KZ7EFNQOSAMWZA6EYTT7Z}

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	2026-05-18T01:39:30.071510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f18dab3f215b07480cb641e26273fe694a0bb76fc61ad8fb9186304ba3e4bb

Aliases

arxiv: cond-mat/9809123 · arxiv_version: cond-mat/9809123v2 · doi: 10.48550/arxiv.cond-mat/9809123 · pith_short_12: FHYY3KZ7EFNQ · pith_short_16: FHYY3KZ7EFNQOSAM · pith_short_8: FHYY3KZ7

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/FHYY3KZ7EFNQOSAMWZA6EYTT7Z \
  | 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: 29f18dab3f215b07480cb641e26273fe694a0bb76fc61ad8fb9186304ba3e4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d274a88bf403f163f4919d23f3cdc390e319bb57a6228dbc439c0bed4886bcf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-09-07T23:18:15Z",
    "title_canon_sha256": "18a420d1b23ad5b3884958341a86da1f1667a9f8b5ea3ce6d76a046e24ad83ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9809123",
    "kind": "arxiv",
    "version": 2
  }
}