Pith Number

pith:LSUHDWIG

pith:2009:LSUHDWIGY4EG4I7OOH3XIAVO7W

not attested not anchored not stored refs pending

The three-colour model with domain wall boundary conditions

Hjalmar Rosengren

arxiv:0911.0561 v2 · 2009-11-03 · math.CO · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSUHDWIGY4EG4I7OOH3XIAVO7W}

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	2026-05-18T02:49:52.508146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca871d906c7086e23ee71f77402aefd99402b888cc21313059a21c3988cbaa0

Aliases

arxiv: 0911.0561 · arxiv_version: 0911.0561v2 · doi: 10.48550/arxiv.0911.0561 · pith_short_12: LSUHDWIGY4EG · pith_short_16: LSUHDWIGY4EG4I7O · pith_short_8: LSUHDWIG

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/LSUHDWIGY4EG4I7OOH3XIAVO7W \
  | 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: 5ca871d906c7086e23ee71f77402aefd99402b888cc21313059a21c3988cbaa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65816e23630dc22ef353d0ed3977cb4b2d816f8f8f899d491ab25f6c3758e22c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-03T12:10:20Z",
    "title_canon_sha256": "e3e6c4a2775ff2815c193aa6fe10d61aab6e73ae329a011ae68fa926b9409a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0561",
    "kind": "arxiv",
    "version": 2
  }
}