Pith Number

pith:MW5U2EII

pith:2012:MW5U2EII5M2PMPXWIE7NZ5R3EL

not attested not anchored not stored refs pending

A New Algorithm for the Subtraction Games

Guanglei He, Zhihui Qin

arxiv:1208.3832 v2 · 2012-08-19 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW5U2EII5M2PMPXWIE7NZ5R3EL}

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	2026-05-18T03:46:46.848595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bb4d1108eb34f63ef6413edcf63b22e84633da37255f3d3a473b872bd371da

Aliases

arxiv: 1208.3832 · arxiv_version: 1208.3832v2 · doi: 10.48550/arxiv.1208.3832 · pith_short_12: MW5U2EII5M2P · pith_short_16: MW5U2EII5M2PMPXW · pith_short_8: MW5U2EII

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/MW5U2EII5M2PMPXWIE7NZ5R3EL \
  | 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: 65bb4d1108eb34f63ef6413edcf63b22e84633da37255f3d3a473b872bd371da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2580a2863660e246f3c02c7ea2f49bf7d7f2db33944e034709d0d42d878bb65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-08-19T13:12:06Z",
    "title_canon_sha256": "d32e747aaf31ba6d6b87a9a361c234278f2ecbd95b9752602875566ce060a32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3832",
    "kind": "arxiv",
    "version": 2
  }
}