Pith Number

pith:SJGJCKUQ

pith:2026:SJGJCKUQQ6LZN6U4RASESZHH5R

not attested not anchored not stored refs pending

Hurwitz numbers of a fixed partition (m, 1^{n-m}) via enumeration of unrooted hypermaps

Yi Song

arxiv:2605.24952 v1 · 2026-05-24 · 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{SJGJCKUQQ6LZN6U4RASESZHH5R}

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	2026-05-26T01:04:07.378085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924c912a90879796fa9c88244964e7ec636b4021b1a7ebfc1adbe6a8de166bb1

Aliases

arxiv: 2605.24952 · arxiv_version: 2605.24952v1 · doi: 10.48550/arxiv.2605.24952 · pith_short_12: SJGJCKUQQ6LZ · pith_short_16: SJGJCKUQQ6LZN6U4 · pith_short_8: SJGJCKUQ

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/SJGJCKUQQ6LZN6U4RASESZHH5R \
  | 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: 924c912a90879796fa9c88244964e7ec636b4021b1a7ebfc1adbe6a8de166bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ad83d8bf3d7d41d500c873706f5be9c6b50219a96fac02b1d6332b182850a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-24T09:05:59Z",
    "title_canon_sha256": "296bd2f223dae23656a4d755f7e50ae232763452c978e21f2ab37017954bc581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24952",
    "kind": "arxiv",
    "version": 1
  }
}