Pith Number

pith:QWG26TG3

pith:2018:QWG26TG3XCPJHUVBEHRPCUR5F3

not attested not anchored not stored refs pending

The Sprague-Grundy function for some selective compound games

Calvin Beideman, Matthew Bowen, Necati Alp Muyesser

arxiv:1802.08700 v1 · 2018-02-23 · 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{QWG26TG3XCPJHUVBEHRPCUR5F3}

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	2026-05-18T00:22:36.700261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858daf4cdbb89e93d2a121e2f1523d2ed5409afc6a9e2538b5bfa674b1110169

Aliases

arxiv: 1802.08700 · arxiv_version: 1802.08700v1 · doi: 10.48550/arxiv.1802.08700 · pith_short_12: QWG26TG3XCPJ · pith_short_16: QWG26TG3XCPJHUVB · pith_short_8: QWG26TG3

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/QWG26TG3XCPJHUVBEHRPCUR5F3 \
  | 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: 858daf4cdbb89e93d2a121e2f1523d2ed5409afc6a9e2538b5bfa674b1110169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd09203effa27e517d4f93beafd49001ac5e8212be6f7dc1ca2b7b8ae2687852",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-23T19:07:37Z",
    "title_canon_sha256": "8ca66574414e5f29da82a6ced10438f36cf6b0aefb942aa063d8dd4b75f1f767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08700",
    "kind": "arxiv",
    "version": 1
  }
}