Pith Number

pith:WZNJPK6F

pith:2024:WZNJPK6F57WNXOEVG4QDVSULFI

not attested not anchored not stored refs pending

Crystallization of the Aztec diamond

Alexei Borodin, Tomas Berggren

arxiv:2410.04187 v1 · 2024-10-05 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZNJPK6F57WNXOEVG4QDVSULFI}

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

Dimer models on astroidal zig-zag graphs

Receipt and verification

First computed	2026-07-05T09:16:30.145383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65a97abc5efecdbb89537203aca8b2a113c47da75af814031e36f4d6848bf01

Aliases

arxiv: 2410.04187 · arxiv_version: 2410.04187v1 · doi: 10.48550/arxiv.2410.04187 · pith_short_12: WZNJPK6F57WN · pith_short_16: WZNJPK6F57WNXOEV · pith_short_8: WZNJPK6F

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/WZNJPK6F57WNXOEVG4QDVSULFI \
  | 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: b65a97abc5efecdbb89537203aca8b2a113c47da75af814031e36f4d6848bf01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ebba3f8787a34eabae9f65f50f12363ff4dc3e48808475a5dd095c473213f71",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-10-05T15:03:09Z",
    "title_canon_sha256": "1008b22fbe46e032d91b9f1b40853a4010cdbeaa299174e24f70598834dd7162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.04187",
    "kind": "arxiv",
    "version": 1
  }
}