Pith Number

pith:4IDNYX4K

pith:2026:4IDNYX4KSHT37JMLJT5C7MWFDJ

not attested not anchored not stored refs pending

The solution to Kourovka problem 21.88

Basile Beyer de Ryke

arxiv:2608.03003 v1 · 2026-08-04 · 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{4IDNYX4KSHT37JMLJT5C7MWFDJ}

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	2026-08-05T00:44:22.620298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e206dc5f8a91e7bfa58b4cfa2fb2c51a58ec302ac21a5fec249cc4b965eb3695

Aliases

arxiv: 2608.03003 · arxiv_version: 2608.03003v1 · doi: 10.48550/arxiv.2608.03003 · pith_short_12: 4IDNYX4KSHT3 · pith_short_16: 4IDNYX4KSHT37JML · pith_short_8: 4IDNYX4K

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/4IDNYX4KSHT37JMLJT5C7MWFDJ \
  | 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: e206dc5f8a91e7bfa58b4cfa2fb2c51a58ec302ac21a5fec249cc4b965eb3695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082dfc2a551159a5d04fedcf4191346f94d037c0e9b3533e71fc9f31d6ecebfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-04T01:36:02Z",
    "title_canon_sha256": "45fcf7ecd29aa91d866cc650f466d625f54f4990286f22e97ad841c3b108d0a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03003",
    "kind": "arxiv",
    "version": 1
  }
}