Pith Number

pith:STGYVZ53

pith:2019:STGYVZ53ACZB7R5YMYODBNT3GO

not attested not anchored not stored refs pending

Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves

Anton Zorich, Elise Goujard, Peter Zograf, Vincent Delecroix

arxiv:1908.08611 v1 · 2019-08-22 · math.GT · math.AG · 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{STGYVZ53ACZB7R5YMYODBNT3GO}

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	2026-07-04T23:59:16.091692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94cd8ae7bb00b21fc7b8661c30b67b3387045a126577c384a1b36f6b17cade54

Aliases

arxiv: 1908.08611 · arxiv_version: 1908.08611v1 · doi: 10.48550/arxiv.1908.08611 · pith_short_12: STGYVZ53ACZB · pith_short_16: STGYVZ53ACZB7R5Y · pith_short_8: STGYVZ53

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/STGYVZ53ACZB7R5YMYODBNT3GO \
  | 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: 94cd8ae7bb00b21fc7b8661c30b67b3387045a126577c384a1b36f6b17cade54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5107a68147f709ddb4fc187e3fcc061701f8a255969b23332eb72ebd56b2abcd",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-22T22:16:48Z",
    "title_canon_sha256": "d08710685e447f1af491f08fdf33511fd204d8d8f1feec1f7abaeb3ec7233aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08611",
    "kind": "arxiv",
    "version": 1
  }
}