Pith Number

pith:7FD3AEDZ

pith:2013:7FD3AEDZLVXXDRAGUANKD4BKOO

not attested not anchored not stored refs pending

On the Amount of Dependence in the Prime Factorization of a Uniform Random Integer

Richard Arratia

arxiv:1305.0941 v1 · 2013-05-04 · 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{7FD3AEDZLVXXDRAGUANKD4BKOO}

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	2026-05-18T03:26:31.239507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f947b010795d6f71c406a01aa1f02a739d971abb3986b7b4ba00ef8064e79007

Aliases

arxiv: 1305.0941 · arxiv_version: 1305.0941v1 · doi: 10.48550/arxiv.1305.0941 · pith_short_12: 7FD3AEDZLVXX · pith_short_16: 7FD3AEDZLVXXDRAG · pith_short_8: 7FD3AEDZ

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/7FD3AEDZLVXXDRAGUANKD4BKOO \
  | 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: f947b010795d6f71c406a01aa1f02a739d971abb3986b7b4ba00ef8064e79007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc068a06b166b28c9a3f6c366b1162de953166b1ce7f1eb7f150f9e542630d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-04T17:39:51Z",
    "title_canon_sha256": "d0b677f2816c66d89474d39e51304b1522315d8897264740728ca3744ed6b2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0941",
    "kind": "arxiv",
    "version": 1
  }
}