Pith Number

pith:CKPB4EFQ

pith:2017:CKPB4EFQNND2XPLMGPDOZNLFDB

not attested not anchored not stored refs pending

Enumeration of lozenge tilings of a hexagon with a shamrock missing on the symmetry axis

Ranjan Rohatgi, Tri Lai

arxiv:1711.02818 v2 · 2017-11-08 · 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{CKPB4EFQNND2XPLMGPDOZNLFDB}

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	2026-05-18T00:09:09.824530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129e1e10b06b47abbd6c33c6ecb5651849ee4a94a7347eb66875f92c4c4d6c8f

Aliases

arxiv: 1711.02818 · arxiv_version: 1711.02818v2 · doi: 10.48550/arxiv.1711.02818 · pith_short_12: CKPB4EFQNND2 · pith_short_16: CKPB4EFQNND2XPLM · pith_short_8: CKPB4EFQ

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/CKPB4EFQNND2XPLMGPDOZNLFDB \
  | 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: 129e1e10b06b47abbd6c33c6ecb5651849ee4a94a7347eb66875f92c4c4d6c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b246fc4dbf242f2abb3022b77d243184efd3133f5589e3f62800c841d44c7f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-08T04:00:31Z",
    "title_canon_sha256": "7cf6663bd9e74df6f8d01ea686368dd844d19c499da3622c6f2c84670a3a10f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02818",
    "kind": "arxiv",
    "version": 2
  }
}