Pith Number

pith:7XYT4CZU

pith:2011:7XYT4CZUEVA76LKRHDPKP7VGZC

not attested not anchored not stored refs pending

Monotone Hurwitz numbers and the HCIZ integral II

Ian P. Goulden, Jonathan Novak, Mathieu Guay-Paquet

arxiv:1107.1001 v1 · 2011-07-05 · math.CO · math-ph · math.AG · 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{7XYT4CZUEVA76LKRHDPKP7VGZC}

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	2026-05-18T04:18:45.854477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf13e0b342541ff2d5138dea7fea6c8907f98c397c974e16f54424b4c552a8a

Aliases

arxiv: 1107.1001 · arxiv_version: 1107.1001v1 · doi: 10.48550/arxiv.1107.1001 · pith_short_12: 7XYT4CZUEVA7 · pith_short_16: 7XYT4CZUEVA76LKR · pith_short_8: 7XYT4CZU

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/7XYT4CZUEVA76LKRHDPKP7VGZC \
  | 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: fdf13e0b342541ff2d5138dea7fea6c8907f98c397c974e16f54424b4c552a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad9d6135faac5c4686acb759904eeda207f5fe4d11e4de4002379e45a668ece0",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-05T23:34:01Z",
    "title_canon_sha256": "fb614b74f64c88a7dfd0e80740b1247d6fdcc0f289dc64eb9039f3dfe085ee24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1001",
    "kind": "arxiv",
    "version": 1
  }
}