Pith Number

pith:ZQU4DBSJ

pith:2025:ZQU4DBSJF72TAE35FEFKWKOZ47

not attested not anchored not stored refs pending

Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond

Marianna Russkikh, Tomas Berggren

arxiv:2508.06697 v2 · 2025-08-08 · math-ph · math.CO · 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{ZQU4DBSJF72TAE35FEFKWKOZ47}

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	2026-07-05T11:55:42.162873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc29c186492ff530137d290aab29d9e7d70a0364f4ad1fdd50782d3c821cf845

Aliases

arxiv: 2508.06697 · arxiv_version: 2508.06697v2 · doi: 10.48550/arxiv.2508.06697 · pith_short_12: ZQU4DBSJF72T · pith_short_16: ZQU4DBSJF72TAE35 · pith_short_8: ZQU4DBSJ

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/ZQU4DBSJF72TAE35FEFKWKOZ47 \
  | 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: cc29c186492ff530137d290aab29d9e7d70a0364f4ad1fdd50782d3c821cf845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49a999c98c9e3bc20b3d9de6b29ec9b1c481fba6788d9a8cd0a136e484b17cc",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-08-08T20:51:36Z",
    "title_canon_sha256": "fbc9e0b56f4d7b451fa766451e790b182b704984aa15d3376ced3a84da1a5fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06697",
    "kind": "arxiv",
    "version": 2
  }
}