Pith Number

pith:DNZOCO3Z

pith:2016:DNZOCO3ZHGC2NGCLEKOEPD3RJF

not attested not anchored not stored refs pending

Intrinsic Random Functions on the sphere

Chunfeng Huang, Haimeng Zhang, Jacob Shields, Scott M. Robeson

arxiv:1606.01950 v1 · 2016-06-06 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNZOCO3ZHGC2NGCLEKOEPD3RJF}

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	2026-05-18T01:12:44.942733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b72e13b793985a6984b229c478f7149740e3605b32dfb0daa501da6e1d23bd4

Aliases

arxiv: 1606.01950 · arxiv_version: 1606.01950v1 · doi: 10.48550/arxiv.1606.01950 · pith_short_12: DNZOCO3ZHGC2 · pith_short_16: DNZOCO3ZHGC2NGCL · pith_short_8: DNZOCO3Z

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/DNZOCO3ZHGC2NGCLEKOEPD3RJF \
  | 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: 1b72e13b793985a6984b229c478f7149740e3605b32dfb0daa501da6e1d23bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89b3a512210e28065a83e29d9487381bbd07046e3bf5ec1dbe27a68eb44e948",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-06-06T21:36:52Z",
    "title_canon_sha256": "b7b37a0dcc48138b33ea8cdff684efed24d7fcae863dd6c7cb8a3838ff93fce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01950",
    "kind": "arxiv",
    "version": 1
  }
}