Pith Number

pith:ZTKIQ4XK

pith:2018:ZTKIQ4XK6FN6EUMCZOGDFW3WN3

not attested not anchored not stored refs pending

The Generalized Zeckendorf Game

Alyssa Epstein, Kristen Flint, Paul Baird-Smith, Steven J. Miller

arxiv:1809.04883 v2 · 2018-09-13 · math.NT · 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{ZTKIQ4XK6FN6EUMCZOGDFW3WN3}

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	2026-05-18T00:05:44.756904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd48872eaf15be25182cb8c32db766ed52006ced75aaeffc4227a11716218d7

Aliases

arxiv: 1809.04883 · arxiv_version: 1809.04883v2 · doi: 10.48550/arxiv.1809.04883 · pith_short_12: ZTKIQ4XK6FN6 · pith_short_16: ZTKIQ4XK6FN6EUMC · pith_short_8: ZTKIQ4XK

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/ZTKIQ4XK6FN6EUMCZOGDFW3WN3 \
  | 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: ccd48872eaf15be25182cb8c32db766ed52006ced75aaeffc4227a11716218d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2f15128163f1d562b1c4aabcfe22247685aa32e302710e037eb1ec09407c55",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-13T10:56:15Z",
    "title_canon_sha256": "68f34b42dd6fa6c70bb9390353f6c48ba6bcb71af8cb9b9c2ed7502dce617ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04883",
    "kind": "arxiv",
    "version": 2
  }
}