Pith Number

pith:EDW3JU72

pith:2015:EDW3JU72EJG2VWA7Y74TM6OXFI

not attested not anchored not stored refs pending

On the average distribution of divisors of friable numbers

Sary Drappeau

arxiv:1511.09305 v2 · 2015-11-30 · 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{EDW3JU72EJG2VWA7Y74TM6OXFI}

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	2026-05-18T00:55:14.333222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20edb4d3fa224daad81fc7f93679d72a2f7290e3a00d6fa4ac0a8abe02e62bb2

Aliases

arxiv: 1511.09305 · arxiv_version: 1511.09305v2 · doi: 10.48550/arxiv.1511.09305 · pith_short_12: EDW3JU72EJG2 · pith_short_16: EDW3JU72EJG2VWA7 · pith_short_8: EDW3JU72

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/EDW3JU72EJG2VWA7Y74TM6OXFI \
  | 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: 20edb4d3fa224daad81fc7f93679d72a2f7290e3a00d6fa4ac0a8abe02e62bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7ca6506f953a2594096d5ba715dcaa5a21d60398214300a34490237ed45f69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-30T13:47:40Z",
    "title_canon_sha256": "8da3de0bacf1aed4ce06a11fe53e4f8dafff0d634e848f8413d511142012043a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09305",
    "kind": "arxiv",
    "version": 2
  }
}