Pith Number

pith:U4CTFPWT

pith:2017:U4CTFPWTE5MTFUE27QM22BRNDR

not attested not anchored not stored refs pending

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

Tri Lai

arxiv:1709.02071 v1 · 2017-09-07 · 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{U4CTFPWTE5MTFUE27QM22BRNDR}

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	2026-05-18T00:35:50.333340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70532bed3275932d09afc19ad062d1c5df19c1fdff1435bb7fd31688b03ff2f

Aliases

arxiv: 1709.02071 · arxiv_version: 1709.02071v1 · doi: 10.48550/arxiv.1709.02071 · pith_short_12: U4CTFPWTE5MT · pith_short_16: U4CTFPWTE5MTFUE2 · pith_short_8: U4CTFPWT

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/U4CTFPWTE5MTFUE27QM22BRNDR \
  | 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: a70532bed3275932d09afc19ad062d1c5df19c1fdff1435bb7fd31688b03ff2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6c2820b64315e420576854ad8a6cc62f86bb61b87099045537aae3fedf81ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-07T05:14:18Z",
    "title_canon_sha256": "2f9c539c931e6fea961161a847c55f26b3e66973edc25e83f72fb2aa5386640a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02071",
    "kind": "arxiv",
    "version": 1
  }
}