Pith Number

pith:55XGLLHQ

pith:2011:55XGLLHQWDIVQVUXYBJXUZS2LG

not attested not anchored not stored refs pending

Monotone Hurwitz numbers and the HCIZ integral

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

arxiv:1107.1015 v4 · 2011-07-06 · 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{55XGLLHQWDIVQVUXYBJXUZS2LG}

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	2026-05-18T03:00:01.378579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6e65acf0b0d1585697c0537a665a59915abfff6d96ec6a04aab4d6f2a69bde

Aliases

arxiv: 1107.1015 · arxiv_version: 1107.1015v4 · doi: 10.48550/arxiv.1107.1015 · pith_short_12: 55XGLLHQWDIV · pith_short_16: 55XGLLHQWDIVQVUX · pith_short_8: 55XGLLHQ

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/55XGLLHQWDIVQVUXYBJXUZS2LG \
  | 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: ef6e65acf0b0d1585697c0537a665a59915abfff6d96ec6a04aab4d6f2a69bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf9f557b2fabf36a5673ee553eceead1bc83373a07b808e814f7fe20436086f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-06T03:01:08Z",
    "title_canon_sha256": "333dc2fdbcbd42517af59290fdd695adc7fb6af301e7bfd8c2a5a127555f47e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1015",
    "kind": "arxiv",
    "version": 4
  }
}