Pith Number

pith:JRP4WQDF

pith:2016:JRP4WQDFG5Z3BQA255GNTQN674

not attested not anchored not stored refs pending

Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary

Tri Lai

arxiv:1610.06284 v3 · 2016-10-20 · 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{JRP4WQDFG5Z3BQA255GNTQN674}

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	2026-05-18T00:35:51.688238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5fcb40653773b0c01aef4cd9c1beff00e570ef4693c90429a81cc1d4e2892e

Aliases

arxiv: 1610.06284 · arxiv_version: 1610.06284v3 · doi: 10.48550/arxiv.1610.06284 · pith_short_12: JRP4WQDFG5Z3 · pith_short_16: JRP4WQDFG5Z3BQA2 · pith_short_8: JRP4WQDF

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/JRP4WQDFG5Z3BQA255GNTQN674 \
  | 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: 4c5fcb40653773b0c01aef4cd9c1beff00e570ef4693c90429a81cc1d4e2892e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fd9b5e92e9f024956897ee1314d9cbe9ddcfa7f293aaca29b633c2f1bf29f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-20T04:15:19Z",
    "title_canon_sha256": "21744e948e9e92d3742f96d620ed292c05ea1fe84da91a3a1fddfeafe6f2cf52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06284",
    "kind": "arxiv",
    "version": 3
  }
}