Pith Number

pith:KC5ZLLS6

pith:2023:KC5ZLLS6I5D5PXID6AUGDQTCRL

not attested not anchored not stored refs pending

Using Fibonacci Numbers and Chebyshev Polynomials to Express Fox Coloring Groups and Alexander-Burau-Fox Modules of Diagrams of Wheel Graphs

Anthony Christiana, Huizheng Guo, Jozef H. Przytycki

arxiv:2310.19979 v2 · 2023-10-30 · math.GT · 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{KC5ZLLS6I5D5PXID6AUGDQTCRL}

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	2026-07-05T10:19:20.601533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bb95ae5e4747d7dd03f02861c2628af9095c1f1dd26226676a215126a119d8

Aliases

arxiv: 2310.19979 · arxiv_version: 2310.19979v2 · doi: 10.48550/arxiv.2310.19979 · pith_short_12: KC5ZLLS6I5D5 · pith_short_16: KC5ZLLS6I5D5PXID · pith_short_8: KC5ZLLS6

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/KC5ZLLS6I5D5PXID6AUGDQTCRL \
  | 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: 50bb95ae5e4747d7dd03f02861c2628af9095c1f1dd26226676a215126a119d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cdae7cf7dd91e5607534c98346d6e9e8ee8a2c9735315798715860a86dd1fb9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-10-30T19:54:07Z",
    "title_canon_sha256": "a13f47701ee2d2490908b6650549718b4873a91235f18050fec67a186f1bef44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19979",
    "kind": "arxiv",
    "version": 2
  }
}