Pith Number

pith:GNQCDO26

pith:2020:GNQCDO26WJKQL2YMHIQYBRMAII

not attested not anchored not stored refs pending

Bounds on Zeckendorf Games

Aiden Dunkelberg, Anna Cusenza, Clayton Mizgerd, Dianhui Ke, Jingkai Ye, Kate Huffman, Micah McClatchey, Steven J. Miller, Vashisth Tiwari, Xiaoyan Zheng

arxiv:2009.09510 v1 · 2020-09-20 · 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{GNQCDO26WJKQL2YMHIQYBRMAII}

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	2026-07-05T01:36:41.348850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336021bb5eb25505eb0c3a2180c58042094833efcb2376567a6b7cc4cd70f047

Aliases

arxiv: 2009.09510 · arxiv_version: 2009.09510v1 · doi: 10.48550/arxiv.2009.09510 · pith_short_12: GNQCDO26WJKQ · pith_short_16: GNQCDO26WJKQL2YM · pith_short_8: GNQCDO26

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/GNQCDO26WJKQL2YMHIQYBRMAII \
  | 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: 336021bb5eb25505eb0c3a2180c58042094833efcb2376567a6b7cc4cd70f047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa26113e3ac1634a19d604fd284c9ea7819820bb54f4640c9a709308af3ce6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-09-20T19:52:31Z",
    "title_canon_sha256": "ebb17cc416a506fcc70f2038bc7fa1a75b965ba87506c604b66a0936fda8838a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09510",
    "kind": "arxiv",
    "version": 1
  }
}