Pith Number

pith:MRG3DNWA

pith:2019:MRG3DNWASDY5TJJCFW4GZEXOIW

not attested not anchored not stored refs pending

Statistics of Square-tiled Surfaces: Symmetry and Short Loops

Jane Wang, Sunrose T. Shrestha

arxiv:1902.08214 v2 · 2019-02-21 · math.GT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRG3DNWASDY5TJJCFW4GZEXOIW}

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	2026-05-17T23:47:12.074467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644db1b6c090f1d9a5222db86c92ee45b0505d85f0cfe2e4f620020643b52fcc

Aliases

arxiv: 1902.08214 · arxiv_version: 1902.08214v2 · doi: 10.48550/arxiv.1902.08214 · pith_short_12: MRG3DNWASDY5 · pith_short_16: MRG3DNWASDY5TJJC · pith_short_8: MRG3DNWA

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/MRG3DNWASDY5TJJCFW4GZEXOIW \
  | 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: 644db1b6c090f1d9a5222db86c92ee45b0505d85f0cfe2e4f620020643b52fcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c079e3f6bc469b7d805d694975b9d37c9ff2a15791b8590b88480aa53606e1cb",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-21T19:01:00Z",
    "title_canon_sha256": "c13bb1c20c4fd1c13a421901f71780d7aeaf9b9ca2835f53076ac313bdb72bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08214",
    "kind": "arxiv",
    "version": 2
  }
}