Pith Number

pith:3KD3D4S7

pith:2014:3KD3D4S7ROE2NPUUH7C4FSYHZT

not attested not anchored not stored refs pending

Moments for multi-dimensional Mandelbrot's cascades

Chunmao Huang

arxiv:1405.2681 v1 · 2014-05-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KD3D4S7ROE2NPUUH7C4FSYHZT}

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	2026-05-18T02:52:04.975657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da87b1f25f8b89a6be943fc5c2cb07ccd5457c87e58a60061fc15faa5c7e6275

Aliases

arxiv: 1405.2681 · arxiv_version: 1405.2681v1 · doi: 10.48550/arxiv.1405.2681 · pith_short_12: 3KD3D4S7ROE2 · pith_short_16: 3KD3D4S7ROE2NPUU · pith_short_8: 3KD3D4S7

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/3KD3D4S7ROE2NPUUH7C4FSYHZT \
  | 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: da87b1f25f8b89a6be943fc5c2cb07ccd5457c87e58a60061fc15faa5c7e6275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108bf893147f7614593a8edef1ff06acd1c6e9c0f58281574b61cb9cd8e34ab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-12T09:15:15Z",
    "title_canon_sha256": "2ee6ab6df7f347d171939665c2be49e57c56b1f2583ee858a13348fff85dc6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2681",
    "kind": "arxiv",
    "version": 1
  }
}