Pith Number

pith:OHHRZIUI

pith:2020:OHHRZIUIOLGIIIN72IVOPVZM5J

not attested not anchored not stored refs pending

A multiplicatively symmetrized version of the Chung-Diaconis-Graham random process

Martin Hildebrand (University at Albany, State University of New York)

arxiv:2007.09126 v3 · 2020-07-17 · 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{OHHRZIUIOLGIIIN72IVOPVZM5J}

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	2026-07-05T02:27:23.417132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cf1ca28872cc8421bfd22ae7d72cea738bdce044a715f6355b43b63be08b82

Aliases

arxiv: 2007.09126 · arxiv_version: 2007.09126v3 · doi: 10.48550/arxiv.2007.09126 · pith_short_12: OHHRZIUIOLGI · pith_short_16: OHHRZIUIOLGIIIN7 · pith_short_8: OHHRZIUI

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/OHHRZIUIOLGIIIN72IVOPVZM5J \
  | 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: 71cf1ca28872cc8421bfd22ae7d72cea738bdce044a715f6355b43b63be08b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1fc06ffbd46850f3509aa81a574db0c343c0d581d0b8d9cc74a1faae213cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-17T17:35:13Z",
    "title_canon_sha256": "4453c4750c975b79bcd6fe11e74fa3dcbb318c96dd7c71bef7c7f12dd57911ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09126",
    "kind": "arxiv",
    "version": 3
  }
}