Pith Number

pith:VRDXGZEI

pith:2018:VRDXGZEI7A7CH3FETCYQIPK3N4

not attested not anchored not stored refs pending

Lozenge tilings of hexagons with central holes and dents

Tri Lai

arxiv:1803.02792 v6 · 2018-03-07 · 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{VRDXGZEI7A7CH3FETCYQIPK3N4}

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	2026-05-17T23:45:53.218628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac47736488f83e23eca498b1043d5b6f0ea0c087d9925830ef1e803aff3eb90b

Aliases

arxiv: 1803.02792 · arxiv_version: 1803.02792v6 · doi: 10.48550/arxiv.1803.02792 · pith_short_12: VRDXGZEI7A7C · pith_short_16: VRDXGZEI7A7CH3FE · pith_short_8: VRDXGZEI

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/VRDXGZEI7A7CH3FETCYQIPK3N4 \
  | 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: ac47736488f83e23eca498b1043d5b6f0ea0c087d9925830ef1e803aff3eb90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220f8784547c019d2d5c39688798dd3983b8130c7ec1caf405c3ead52d23c604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T18:01:45Z",
    "title_canon_sha256": "069826a37f763a4ad5875d582a9c339219e4f5479cecce9df8909ead5d9fe1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02792",
    "kind": "arxiv",
    "version": 6
  }
}