Pith Number

pith:DUJLT7NT

pith:2020:DUJLT7NTQVSAK7DIITKOFHVONL

not attested not anchored not stored refs pending

Winning Strategy for the Multiplayer and Multialliance Zeckendorf Games

Aidan Dunkelberg, Anna Cusenza, Clayton Mizgerd, Daniel Kleber, Dianhui Ke, Jingkai Ye, Kate Huffman, Steven J. Miller, Vashisth Tiwari, Xiaoyan Zheng

arxiv:2009.03708 v2 · 2020-09-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUJLT7NTQVSAK7DIITKOFHVONL}

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	2026-07-05T01:44:50.572673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d12b9fdb38564057c6844d4e29eae6adb96d726620b8ae2d70b6d8809030e89

Aliases

arxiv: 2009.03708 · arxiv_version: 2009.03708v2 · doi: 10.48550/arxiv.2009.03708 · pith_short_12: DUJLT7NTQVSA · pith_short_16: DUJLT7NTQVSAK7DI · pith_short_8: DUJLT7NT

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/DUJLT7NTQVSAK7DIITKOFHVONL \
  | 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: 1d12b9fdb38564057c6844d4e29eae6adb96d726620b8ae2d70b6d8809030e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9dbbbd1404ac2cc742e6981209ce5ef12763cd06b11ee6d950df3230da737be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-09-08T12:52:45Z",
    "title_canon_sha256": "73bd27b5d3850f02e98bfe0e33e950724aab9f56b2bc5216bfbc734abd406470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03708",
    "kind": "arxiv",
    "version": 2
  }
}