Pith Number

pith:FHABGNST

pith:2020:FHABGNSTWSI5ZW7PNDKHMMEKSQ

not attested not anchored not stored refs pending

Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation

Aidan Dunkelberg, Anna Cusenza, Clayton Mizgerd, Daniel Kleber, Dianhui Ke, El\.zbieta Bo{\l}dyriew, Jason Kuretski, Jingkai Ye, John Haviland, John Lentfer, Kate Huffman, Linglong Dai, Pei Ding, Steven J. Miller, Tianhao Luo, Vashisth Tiwari, Weiduo Zhu, Xiaoyan Zheng, Yunhao Zhang

arxiv:2009.12475 v1 · 2020-09-26 · 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{FHABGNSTWSI5ZW7PNDKHMMEKSQ}

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	2026-07-05T01:38:05.490160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c0133653b491dcdbef68d476308a941d48b3847fa547ce5becb1f4a058e92c

Aliases

arxiv: 2009.12475 · arxiv_version: 2009.12475v1 · doi: 10.48550/arxiv.2009.12475 · pith_short_12: FHABGNSTWSI5 · pith_short_16: FHABGNSTWSI5ZW7P · pith_short_8: FHABGNST

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/FHABGNSTWSI5ZW7PNDKHMMEKSQ \
  | 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: 29c0133653b491dcdbef68d476308a941d48b3847fa547ce5becb1f4a058e92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b65c9432b5586dbbbe1e2a78d95fb719e654a3219e91e6fe7314078806acc39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-09-26T00:00:12Z",
    "title_canon_sha256": "f966883da26c0398a30e95db39d6e59d465da55fa58e5442dfb5a315055b99f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12475",
    "kind": "arxiv",
    "version": 1
  }
}