Pith Number

pith:UISFBKTZ

pith:2017:UISFBKTZ6LBRXP2E55KQ2X6JY7

not attested not anchored not stored refs pending

In\'egalit\'e de Tur\'an-Kubilius friable et ind\'ependance asymptotique

G\'erald Tenenbaum, R\'egis de la Bret\`eche, Youness Lamzouri

arxiv:1708.04595 v1 · 2017-08-15 · 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{UISFBKTZ6LBRXP2E55KQ2X6JY7}

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	2026-05-18T00:37:58.926188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22450aa79f2c31bbf44ef550d5fc9c7dc3ff223c910b81517e7c4358bb1c681

Aliases

arxiv: 1708.04595 · arxiv_version: 1708.04595v1 · doi: 10.48550/arxiv.1708.04595 · pith_short_12: UISFBKTZ6LBR · pith_short_16: UISFBKTZ6LBRXP2E · pith_short_8: UISFBKTZ

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/UISFBKTZ6LBRXP2E55KQ2X6JY7 \
  | 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: a22450aa79f2c31bbf44ef550d5fc9c7dc3ff223c910b81517e7c4358bb1c681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd08dddd7e7acc7887a5a4b0172f3f3d27c01d9ea175c06666c356305f13156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-15T17:00:10Z",
    "title_canon_sha256": "da944e5386cdecc08bfb849cfbd494c3566d952da48c05d720510cd71de3c117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04595",
    "kind": "arxiv",
    "version": 1
  }
}