Pith Number

pith:RKFMDHJZ

pith:2026:RKFMDHJZB7N2S6AL6FRPQRQN3R

not attested not anchored not stored refs pending

Arithmetic invariants for finite simple and related groups

Andrey V. Vasil'ev

arxiv:2608.12783 v1 · 2026-08-13 · 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{RKFMDHJZB7N2S6AL6FRPQRQN3R}

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	2026-08-14T00:47:57.895469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a8ac19d390fdba9780bf162f8460ddc6c5df4d3980606a9433b21a7d9a4b958

Aliases

arxiv: 2608.12783 · arxiv_version: 2608.12783v1 · doi: 10.48550/arxiv.2608.12783 · pith_short_12: RKFMDHJZB7N2 · pith_short_16: RKFMDHJZB7N2S6AL · pith_short_8: RKFMDHJZ

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/RKFMDHJZB7N2S6AL6FRPQRQN3R \
  | 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: 8a8ac19d390fdba9780bf162f8460ddc6c5df4d3980606a9433b21a7d9a4b958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b599784bd76a9b0e589e0a66e65762e9b7151ee38dfd79e5ba8f1a0b024d607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-13T03:45:30Z",
    "title_canon_sha256": "db56df1f3c88c213f30c4dfe175bda802b41b9faf8b05eb6afef0b7a8c29d601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12783",
    "kind": "arxiv",
    "version": 1
  }
}