Pith Number

pith:XNQLOI4S

pith:2017:XNQLOI4SO2HQ22EXZVEN7D5GBH

not attested not anchored not stored refs pending

Lozenge tilings of doubly-intruded hexagons

Mihai Ciucu, Tri Lai

arxiv:1712.08024 v2 · 2017-12-21 · 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{XNQLOI4SO2HQ22EXZVEN7D5GBH}

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	2026-05-17T23:45:58.199920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb60b72392768f0d6897cd48df8fa609cf97324bf646a83be17c11f95943c8fc

Aliases

arxiv: 1712.08024 · arxiv_version: 1712.08024v2 · doi: 10.48550/arxiv.1712.08024 · pith_short_12: XNQLOI4SO2HQ · pith_short_16: XNQLOI4SO2HQ22EX · pith_short_8: XNQLOI4S

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/XNQLOI4SO2HQ22EXZVEN7D5GBH \
  | 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: bb60b72392768f0d6897cd48df8fa609cf97324bf646a83be17c11f95943c8fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd42b82d8df01e0e160c27d18e1eeb85ae74e40f0de95efc103c05a69fe7d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-21T15:44:30Z",
    "title_canon_sha256": "3d0adefa7b76dc437fe07115afaf65f3350c91992fcb9ae10924df59a15b5854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08024",
    "kind": "arxiv",
    "version": 2
  }
}