Pith Number

pith:DKMCNGOA

pith:2011:DKMCNGOARYMKC6VOBRZIZFVRLD

not attested not anchored not stored refs pending

Elliptically Distributed Lozenge Tilings of a Hexagon

Dan Betea

arxiv:1110.4176 v3 · 2011-10-19 · math-ph · math.CO · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKMCNGOARYMKC6VOBRZIZFVRLD}

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	2026-05-18T00:18:41.994423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a982699c08e18a17aae0c728c96b158e7172902453a56485f702c5b67a46e69

Aliases

arxiv: 1110.4176 · arxiv_version: 1110.4176v3 · doi: 10.48550/arxiv.1110.4176 · pith_short_12: DKMCNGOARYMK · pith_short_16: DKMCNGOARYMKC6VO · pith_short_8: DKMCNGOA

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/DKMCNGOARYMKC6VOBRZIZFVRLD \
  | 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: 1a982699c08e18a17aae0c728c96b158e7172902453a56485f702c5b67a46e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a3c7c992506929460af223617b01869f8ed5526ad191fb486065a34f66e9ff",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-19T04:16:23Z",
    "title_canon_sha256": "d0ec9a5f8d631fecb27bf741405f144fee0d83e42aa8f344f2edc3958c465448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4176",
    "kind": "arxiv",
    "version": 3
  }
}