Pith Number

pith:3ZZTK33I

pith:2016:3ZZTK33IEZ2CDXRFQ5YRKOJBOQ

not attested not anchored not stored refs pending

Exact solutions to plaquette Ising models with free and periodic boundaries

Desmond A. Johnston, Marco Mueller, Wolfhard Janke

arxiv:1601.03997 v5 · 2016-01-15 · 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{3ZZTK33IEZ2CDXRFQ5YRKOJBOQ}

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	2026-05-18T00:56:10.637029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de73356f68267421de258771153921741e9fa135d55c70f7e032bf6c936b533d

Aliases

arxiv: 1601.03997 · arxiv_version: 1601.03997v5 · doi: 10.48550/arxiv.1601.03997 · pith_short_12: 3ZZTK33IEZ2C · pith_short_16: 3ZZTK33IEZ2CDXRF · pith_short_8: 3ZZTK33I

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/3ZZTK33IEZ2CDXRFQ5YRKOJBOQ \
  | 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: de73356f68267421de258771153921741e9fa135d55c70f7e032bf6c936b533d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51fc1c6e9f871e3a8040fc6ab2e0920c3be7960dd4b2c6c1c550b44eb9af88e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-15T16:50:54Z",
    "title_canon_sha256": "453bbb5e4302691df201a21ebc385f86b9a80102519304b87c90a5689932132b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03997",
    "kind": "arxiv",
    "version": 5
  }
}