Pith Number

pith:LHB3XCOJ

pith:2019:LHB3XCOJOV25MGH6FLZ2CUGUZA

not attested not anchored not stored refs pending

Universality for Lozenge Tiling Local Statistics

Amol Aggarwal

arxiv:1907.09991 v4 · 2019-07-23 · math.PR · cond-mat.stat-mech · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHB3XCOJOV25MGH6FLZ2CUGUZA}

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.

Cited by

1 paper in Pith

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

Receipt and verification

First computed	2026-07-05T06:55:19.830186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c3bb89c97575d618fe2af3a150d4c81c5a449a6261b64cdfb5c46625938ab6

Aliases

arxiv: 1907.09991 · arxiv_version: 1907.09991v4 · doi: 10.48550/arxiv.1907.09991 · pith_short_12: LHB3XCOJOV25 · pith_short_16: LHB3XCOJOV25MGH6 · pith_short_8: LHB3XCOJ

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/LHB3XCOJOV25MGH6FLZ2CUGUZA \
  | 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: 59c3bb89c97575d618fe2af3a150d4c81c5a449a6261b64cdfb5c46625938ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48e73a732ec2a3374098d064b36b503ff88c2f7edb21c1efa3196bb8b710945",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-23T16:41:25Z",
    "title_canon_sha256": "efa8c256038591b2d216117e9c672907d012f53f8844eead17ddcbb0d158a4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09991",
    "kind": "arxiv",
    "version": 4
  }
}