Pith Number

pith:GC523VWZ

pith:2026:GC523VWZ57DPYZBEKMUH736JK5

not attested not anchored not stored refs pending

On Some Problems from the Kourovka Notebook

Daniel Morrison, Elias Judin, Pietro Monticone, Wouter van Doorn

arxiv:2607.17477 v1 · 2026-07-20 · math.GR · 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{GC523VWZ57DPYZBEKMUH736JK5}

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	2026-07-21T01:21:47.531539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bbadd6d9efc6fc642453287fefc9575b16673a9acd620a227b8c83b3cf7aba

Aliases

arxiv: 2607.17477 · arxiv_version: 2607.17477v1 · doi: 10.48550/arxiv.2607.17477 · pith_short_12: GC523VWZ57DP · pith_short_16: GC523VWZ57DPYZBE · pith_short_8: GC523VWZ

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/GC523VWZ57DPYZBEKMUH736JK5 \
  | 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: 30bbadd6d9efc6fc642453287fefc9575b16673a9acd620a227b8c83b3cf7aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f492a03a549636c1db80468431c56a6b0506a2d118a8f61f83155281b440255",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-20T01:58:21Z",
    "title_canon_sha256": "0dd0964f27aedb4b90702b6090ae3ecac2a3c7c118eb224e1fbea9229dfc3ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17477",
    "kind": "arxiv",
    "version": 1
  }
}