Pith Number

pith:4DELRWDO

pith:2016:4DELRWDOJI3NJLAKFMNCXMGGXJ

not attested not anchored not stored refs pending

Generalized Algorithm for Wythoff's Game with Basis Vector $(2^b,2^b)$

Jared Geller, Max Yu, Shubham Aggarwal, Shuvom Sadhuka

arxiv:1612.03068 v2 · 2016-12-09 · 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{4DELRWDOJI3NJLAKFMNCXMGGXJ}

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	2026-05-18T00:50:42.217364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c8b8d86e4a36d4ac0a2b1a2bb0c6ba7ca3dd15114aa3a7fb9b38da8cfd1a02

Aliases

arxiv: 1612.03068 · arxiv_version: 1612.03068v2 · doi: 10.48550/arxiv.1612.03068 · pith_short_12: 4DELRWDOJI3N · pith_short_16: 4DELRWDOJI3NJLAK · pith_short_8: 4DELRWDO

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/4DELRWDOJI3NJLAKFMNCXMGGXJ \
  | 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: e0c8b8d86e4a36d4ac0a2b1a2bb0c6ba7ca3dd15114aa3a7fb9b38da8cfd1a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b249c86648099434eecf4670cc5cc461f4b4480d6e1b5f3683c623fb201b281",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-09T15:54:57Z",
    "title_canon_sha256": "a4a8dfa12f4dc8a579bc970b3c46c4286636534c460c06bfe65d48aba4049329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03068",
    "kind": "arxiv",
    "version": 2
  }
}