Pith Number

pith:GZPOWFRB

pith:2025:GZPOWFRBOFEYKFOLFZHAO2HOK7

not attested not anchored not stored refs pending

Round Aztec windows, a dual of the Aztec diamond theorem and a curious symmetry of the correlation of diagonal slits

Mihai Ciucu

arxiv:2508.06451 v1 · 2025-08-08 · math.CO · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZPOWFRBOFEYKFOLFZHAO2HOK7}

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	2026-07-05T11:50:56.602634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365eeb162171498515cb2e4e0768ee57f86acf796e51e9647a70da3f5bfb0bc9

Aliases

arxiv: 2508.06451 · arxiv_version: 2508.06451v1 · doi: 10.48550/arxiv.2508.06451 · pith_short_12: GZPOWFRBOFEY · pith_short_16: GZPOWFRBOFEYKFOL · pith_short_8: GZPOWFRB

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/GZPOWFRBOFEYKFOLFZHAO2HOK7 \
  | 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: 365eeb162171498515cb2e4e0768ee57f86acf796e51e9647a70da3f5bfb0bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff3d8c0883beed6e2dfae0687fba1a47fda566a14b3c9dd436b4f528b2072c7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-08T16:49:50Z",
    "title_canon_sha256": "05198437fdd2bba06b548e6899f9761fd5609ea3a384fb903a316e472e23cbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06451",
    "kind": "arxiv",
    "version": 1
  }
}