Pith Number

pith:K636D3KM

pith:2006:K636D3KMPC3TEJAJYGPIKJKFMD

not attested not anchored not stored refs pending

Fractal in the statistics of Goldbach partition

Dai Zhi-cheng, Huang Yan, Wang Liang

arxiv:nlin/0601024 v2 · 2006-01-12 · nlin.CD · 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{K636D3KMPC3TEJAJYGPIKJKFMD}

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	2026-07-04T14:52:52.964891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b7e1ed4c78b7322409c19e85254560cac975bfbcc95f8dd865ba7ce1885a05

Aliases

arxiv: nlin/0601024 · arxiv_version: nlin/0601024v2 · doi: 10.48550/arxiv.nlin/0601024 · pith_short_12: K636D3KMPC3T · pith_short_16: K636D3KMPC3TEJAJ · pith_short_8: K636D3KM

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/K636D3KMPC3TEJAJYGPIKJKFMD \
  | 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: 57b7e1ed4c78b7322409c19e85254560cac975bfbcc95f8dd865ba7ce1885a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e926ad68ef468ef485f09b2e0db4bc6b01f68baf881104516516b9bac04c11",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2006-01-12T09:55:34Z",
    "title_canon_sha256": "b667378022e394b5cc5ccfb48f145b4bb440767c250264209d4363b5dff5b0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0601024",
    "kind": "arxiv",
    "version": 2
  }
}