Pith Number

pith:RUUTGZUO

pith:2019:RUUTGZUOHMQBPEH7C3APFMC7QD

not attested not anchored not stored refs pending

Three product formulas for ratios of tiling counts of hexagons with collinear holes

Seok Hyun Byun

arxiv:1906.04532 v1 · 2019-06-11 · 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{RUUTGZUOHMQBPEH7C3APFMC7QD}

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	2026-05-17T23:43:39.017172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d2933668e3b201790ff16c0f2b05f80ff996f75a5da71b68801ea4d6084bdad

Aliases

arxiv: 1906.04532 · arxiv_version: 1906.04532v1 · doi: 10.48550/arxiv.1906.04532 · pith_short_12: RUUTGZUOHMQB · pith_short_16: RUUTGZUOHMQBPEH7 · pith_short_8: RUUTGZUO

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/RUUTGZUOHMQBPEH7C3APFMC7QD \
  | 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: 8d2933668e3b201790ff16c0f2b05f80ff996f75a5da71b68801ea4d6084bdad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316248d69a34b7377f16e974b8d279f6fcf691f365b67dca12a84b1713af7bba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-11T12:37:23Z",
    "title_canon_sha256": "be3ecd40c639b7f058d4841cf7e12c1557a4a914e6ca7a3da45c271f9b3ac0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04532",
    "kind": "arxiv",
    "version": 1
  }
}