Pith Number

pith:YYNDPZOX

pith:2025:YYNDPZOXD3EA3FQAO74I6GRBHA

not attested not anchored not stored refs pending

A refined twist on Hurwitz numbers

Hannah Markwig, Maksim Karev, Marvin Anas Hahn, Rapha\"el Fesler

arxiv:2508.06188 v1 · 2025-08-08 · math.CO · math.AG · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYNDPZOXD3EA3FQAO74I6GRBHA}

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

On the large genus of Hurwitz numbers

Receipt and verification

First computed	2026-07-05T11:50:51.681205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61a37e5d71ec80d960077f88f1a213819fe1fc5c14bd9ace1843fc63f617c59

Aliases

arxiv: 2508.06188 · arxiv_version: 2508.06188v1 · doi: 10.48550/arxiv.2508.06188 · pith_short_12: YYNDPZOXD3EA · pith_short_16: YYNDPZOXD3EA3FQA · pith_short_8: YYNDPZOX

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/YYNDPZOXD3EA3FQAO74I6GRBHA \
  | 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: c61a37e5d71ec80d960077f88f1a213819fe1fc5c14bd9ace1843fc63f617c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e322d85af37e713f1b952878f28d917c32fa8f06cea51f0924159108582cb43",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-08T10:11:35Z",
    "title_canon_sha256": "70eb664f6b354fc24d4977cbf9db092236cef3cbd9a45f35cf123133e052ad89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06188",
    "kind": "arxiv",
    "version": 1
  }
}