Pith Number

pith:VNVJ52NL

pith:2016:VNVJ52NLTE6BUSGJMZ7JWXS35X

not attested not anchored not stored refs pending

Lois de r\'epartition des diviseurs des entiers friables

G\'erald Tenenbaum, Sary Drappeau

arxiv:1604.04204 v1 · 2016-04-14 · 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{VNVJ52NLTE6BUSGJMZ7JWXS35X}

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	2026-05-18T00:14:57.447330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6a9ee9ab993c1a48c9667e9b5e5bedd2f3e583aca0e8a1a750b3d529d08b96

Aliases

arxiv: 1604.04204 · arxiv_version: 1604.04204v1 · doi: 10.48550/arxiv.1604.04204 · pith_short_12: VNVJ52NLTE6B · pith_short_16: VNVJ52NLTE6BUSGJ · pith_short_8: VNVJ52NL

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/VNVJ52NLTE6BUSGJMZ7JWXS35X \
  | 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: ab6a9ee9ab993c1a48c9667e9b5e5bedd2f3e583aca0e8a1a750b3d529d08b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ed130b824b90d4630a0a8c9d7648dbbadb13ddf8bbf297168bd194d890732d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-14T16:20:17Z",
    "title_canon_sha256": "a8a879942aada7ee345a8f1a923e95e6b798ecdff72659807fa1896c3800e792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04204",
    "kind": "arxiv",
    "version": 1
  }
}