Pith Number

pith:WGP42USE

pith:2026:WGP42USE7VK3GJXJABLMOCFWFX

not attested not anchored not stored refs pending

Impartial games on two finite Groups

Muskan, Ratan Lal, Vipul Kakkar

arxiv:2605.24984 v1 · 2026-05-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGP42USE7VK3GJXJABLMOCFWFX}

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	2026-05-26T01:04:09.300739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19fcd5244fd55b326e90056c708b62dd37dad5e8814423c53ec82c9d7070ec4

Aliases

arxiv: 2605.24984 · arxiv_version: 2605.24984v1 · doi: 10.48550/arxiv.2605.24984 · pith_short_12: WGP42USE7VK3 · pith_short_16: WGP42USE7VK3GJXJ · pith_short_8: WGP42USE

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/WGP42USE7VK3GJXJABLMOCFWFX \
  | 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: b19fcd5244fd55b326e90056c708b62dd37dad5e8814423c53ec82c9d7070ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8373c12f3b560f8135770b9a772c9f05aed415fa434568e7fc488fcec09f0179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-24T10:23:25Z",
    "title_canon_sha256": "327b0c6218bdce916a82f35efb01795f0a68e6127e1458cd50ef803cdf41eeb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24984",
    "kind": "arxiv",
    "version": 1
  }
}