Pith Number

pith:OHY4S2PX

pith:2013:OHY4S2PXOUYBUSLOEEHG4UWJRM

not attested not anchored not stored refs pending

A simple proof for the number of tilings of quartered Aztec diamonds

Tri Lai

arxiv:1309.6720 v1 · 2013-09-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHY4S2PXOUYBUSLOEEHG4UWJRM}

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	2026-05-18T03:12:10.737622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f1c969f775301a496e210e6e52c98b26566619365bef489f078106664fbe9c

Aliases

arxiv: 1309.6720 · arxiv_version: 1309.6720v1 · doi: 10.48550/arxiv.1309.6720 · pith_short_12: OHY4S2PXOUYB · pith_short_16: OHY4S2PXOUYBUSLO · pith_short_8: OHY4S2PX

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/OHY4S2PXOUYBUSLOEEHG4UWJRM \
  | 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: 71f1c969f775301a496e210e6e52c98b26566619365bef489f078106664fbe9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cca9f0f73b6d6803687e09f1be38768c53abf9acc3bbbbd9567954f93f374bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-26T04:21:20Z",
    "title_canon_sha256": "9ffa124d718d6c1d656d826c4495516f84d3a52c788d77dc20341639bbb79767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6720",
    "kind": "arxiv",
    "version": 1
  }
}