Pith Number

pith:XWZEWW5K

pith:2017:XWZEWW5KZZ3TCNOBGKJ6IR3V3X

not attested not anchored not stored refs pending

Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes

Ranjan Rohatgi, Tri Lai

arxiv:1705.01122 v1 · 2017-05-02 · 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{XWZEWW5KZZ3TCNOBGKJ6IR3V3X}

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	2026-05-18T00:45:05.852345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb24b5baace773135c13293e44775dddb122c6cb0bf76fb353f479b60ca9e15

Aliases

arxiv: 1705.01122 · arxiv_version: 1705.01122v1 · doi: 10.48550/arxiv.1705.01122 · pith_short_12: XWZEWW5KZZ3T · pith_short_16: XWZEWW5KZZ3TCNOB · pith_short_8: XWZEWW5K

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/XWZEWW5KZZ3TCNOBGKJ6IR3V3X \
  | 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: bdb24b5baace773135c13293e44775dddb122c6cb0bf76fb353f479b60ca9e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf91cf6968badda26860cb99c04e637bf09d5ff419202cca6d03fd2c2877a3e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-02T18:12:44Z",
    "title_canon_sha256": "d2707ccc3bc415d271007bb1a07110b484153c6dd544db0b597301f859f9b1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01122",
    "kind": "arxiv",
    "version": 1
  }
}