Pith Number

pith:K6HPRPR7

pith:2026:K6HPRPR7DTKGLKHCEQXTJYD4VM

not attested not anchored not stored refs pending

A Deterministic Fractal Set Derived from the Sequence of Prime Numbers

Zhengqiang Li

arxiv:2603.00658 v1 · 2026-02-28 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6HPRPR7DTKGLKHCEQXTJYD4VM}

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.

Cited by

1 paper in Pith

Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory

Receipt and verification

First computed	2026-05-26T23:04:16.454250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578ef8be3f1cd465a8e2242f34e07cab10d218192ca6091dd32e66adcfa511b8

Aliases

arxiv: 2603.00658 · arxiv_version: 2603.00658v1 · doi: 10.48550/arxiv.2603.00658 · pith_short_12: K6HPRPR7DTKG · pith_short_16: K6HPRPR7DTKGLKHC · pith_short_8: K6HPRPR7

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/K6HPRPR7DTKGLKHCEQXTJYD4VM \
  | 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: 578ef8be3f1cd465a8e2242f34e07cab10d218192ca6091dd32e66adcfa511b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c1e2796c3bed6891de0bea9b6fbdec4d1e9b911e587966d85e0decf65cd8da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-02-28T14:04:51Z",
    "title_canon_sha256": "aff6e495353f90570a8fa5fe84fd16bde1a1f13c52285b3ce6b87e82b1cbea17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.00658",
    "kind": "arxiv",
    "version": 1
  }
}