Pith Number

pith:QJ5PWZFC

pith:2026:QJ5PWZFCDL7LHKZPZREMDD5G2K

not attested not anchored not stored refs pending

On Ending Partizan Subtraction Nim

Haruki Wada, Hiyu Inoue, Shin-nosuke Kadowaki, Shun-Ichi Kimura

arxiv:2605.29918 v1 · 2026-05-28 · 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{QJ5PWZFCDL7LHKZPZREMDD5G2K}

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	2026-05-29T02:06:00.629008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827afb64a21afeb3ab2fcc48c18fa6d2b8e7ff51e0500ef5ff833e056d90a0e1

Aliases

arxiv: 2605.29918 · arxiv_version: 2605.29918v1 · doi: 10.48550/arxiv.2605.29918 · pith_short_12: QJ5PWZFCDL7L · pith_short_16: QJ5PWZFCDL7LHKZP · pith_short_8: QJ5PWZFC

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/QJ5PWZFCDL7LHKZPZREMDD5G2K \
  | 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: 827afb64a21afeb3ab2fcc48c18fa6d2b8e7ff51e0500ef5ff833e056d90a0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887cce0bb55ed410e9d12fd2613dbc3f2e68837c6fa6b17ec0f9030a98855169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T13:31:49Z",
    "title_canon_sha256": "2ef6458306867d331a45841c6e209e3a619a9918c6f9909d18ae3ec305b4c76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29918",
    "kind": "arxiv",
    "version": 1
  }
}