Pith Number

pith:DNAJ24ZS

pith:2016:DNAJ24ZSYH3VM5PNVGQNRCBLUK

not attested not anchored not stored refs pending

Three-person impartial avoidance games for generating finite cyclic, dihedral, and nilpotent groups

Bret Benesh, Marisa Gaetz

arxiv:1607.06420 v1 · 2016-07-21 · 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{DNAJ24ZSYH3VM5PNVGQNRCBLUK}

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	2026-05-18T01:10:41.871618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b409d7332c1f75675eda9a0d8882ba2aac81156a755473aa43e1fc0391bcaeb

Aliases

arxiv: 1607.06420 · arxiv_version: 1607.06420v1 · doi: 10.48550/arxiv.1607.06420 · pith_short_12: DNAJ24ZSYH3V · pith_short_16: DNAJ24ZSYH3VM5PN · pith_short_8: DNAJ24ZS

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/DNAJ24ZSYH3VM5PNVGQNRCBLUK \
  | 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: 1b409d7332c1f75675eda9a0d8882ba2aac81156a755473aa43e1fc0391bcaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf54330aae54a3e91b271b53a173a5c510a29a9eeb6120b3f2248c0121655094",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-21T18:25:46Z",
    "title_canon_sha256": "1c88cd1f17b782e71bd64ce3949e22f94df702fcfbb865b4d725bbbb6d33a002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06420",
    "kind": "arxiv",
    "version": 1
  }
}