Pith Number

pith:X2OKWJOV

pith:2025:X2OKWJOVPZ2UOFX6LKBRRFWCX7

not attested not anchored not stored refs pending

Sharkovsky's Ordering in the Mandelbrot Set

Reila Zheng

arxiv:2506.06163 v1 · 2025-06-06 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2OKWJOVPZ2UOFX6LKBRRFWCX7}

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	2026-07-05T11:17:26.702450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9cab25d57e754716fe5a831896c2bfe6d8bfb6a4b858f557548fcad63c2461

Aliases

arxiv: 2506.06163 · arxiv_version: 2506.06163v1 · doi: 10.48550/arxiv.2506.06163 · pith_short_12: X2OKWJOVPZ2U · pith_short_16: X2OKWJOVPZ2UOFX6 · pith_short_8: X2OKWJOV

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/X2OKWJOVPZ2UOFX6LKBRRFWCX7 \
  | 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: be9cab25d57e754716fe5a831896c2bfe6d8bfb6a4b858f557548fcad63c2461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619e0c82388bca780ab919b3b9809a7b3c0055c274b89a672ec3bfcb9212dc74",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-06T15:27:41Z",
    "title_canon_sha256": "de043f9735e3cb6ec0cc57b6409b4f54fb1c097a3fe295b506e7f04116036342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06163",
    "kind": "arxiv",
    "version": 1
  }
}