Pith Number

pith:DWPDJBV5

pith:2019:DWPDJBV5O2UIQ7DYUS7UF5FETV

not attested not anchored not stored refs pending

How Uniform is the Uniform Distribution on Permutations?

Michael D. Perlman

arxiv:1901.03386 v3 · 2019-01-10 · 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{DWPDJBV5O2UIQ7DYUS7UF5FETV}

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	2026-05-17T23:52:03.335400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9e3486bd76a8887c78a4bf42f4a49d45b7766c127bbb096d4702edc50cf4b1

Aliases

arxiv: 1901.03386 · arxiv_version: 1901.03386v3 · doi: 10.48550/arxiv.1901.03386 · pith_short_12: DWPDJBV5O2UI · pith_short_16: DWPDJBV5O2UIQ7DY · pith_short_8: DWPDJBV5

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/DWPDJBV5O2UIQ7DYUS7UF5FETV \
  | 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: 1d9e3486bd76a8887c78a4bf42f4a49d45b7766c127bbb096d4702edc50cf4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f502acba6aac34425e348a577a934b0ec1076f91afbdaf5fd3fc76cdaf9e7553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-10T20:55:48Z",
    "title_canon_sha256": "d05d7fe227d1c8fcd26cef1a3f011b10199cbb29d09698c09346ef4780533717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03386",
    "kind": "arxiv",
    "version": 3
  }
}