Pith Number

pith:FNZ76MZH

pith:2018:FNZ76MZHNH4UO6KDO6L2LD6ZKO

not attested not anchored not stored refs pending

Cluster expansion for the description of condensed state: crystalline cell approach

G.S. Bokun, M.F. Holovko

arxiv:1812.08536 v1 · 2018-12-20 · 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{FNZ76MZHNH4UO6KDO6L2LD6ZKO}

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	2026-05-17T23:57:49.718501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b73ff332769f94779437797a58fd953add9b2d006b1740fa16c60d466f7681b

Aliases

arxiv: 1812.08536 · arxiv_version: 1812.08536v1 · doi: 10.48550/arxiv.1812.08536 · pith_short_12: FNZ76MZHNH4U · pith_short_16: FNZ76MZHNH4UO6KD · pith_short_8: FNZ76MZH

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/FNZ76MZHNH4UO6KDO6L2LD6ZKO \
  | 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: 2b73ff332769f94779437797a58fd953add9b2d006b1740fa16c60d466f7681b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe60d2af7927187b14cb09893bb448c3b7beaf837d1f73afdaa3439c3329a444",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-12-20T12:57:56Z",
    "title_canon_sha256": "0caa5d2b4655f13bd98c5405cc7971fea1093b5263949ddf35555e1ee3d2182f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08536",
    "kind": "arxiv",
    "version": 1
  }
}