Pith Number

pith:FNH6MQV2

pith:2013:FNH6MQV2K7CIXIQX3ZXDDHRLGU

not attested not anchored not stored refs pending

On the exponent of distribution of the ternary divisor function

Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel

arxiv:1304.3199 v2 · 2013-04-11 · 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{FNH6MQV2K7CIXIQX3ZXDDHRLGU}

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	2026-05-17T23:53:17.681653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4fe642ba57c48ba217de6e319e2b35292e69d84a25ac4fb95ef9f2ac59a424

Aliases

arxiv: 1304.3199 · arxiv_version: 1304.3199v2 · doi: 10.48550/arxiv.1304.3199 · pith_short_12: FNH6MQV2K7CI · pith_short_16: FNH6MQV2K7CIXIQX · pith_short_8: FNH6MQV2

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/FNH6MQV2K7CIXIQX3ZXDDHRLGU \
  | 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: 2b4fe642ba57c48ba217de6e319e2b35292e69d84a25ac4fb95ef9f2ac59a424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55a07cf883f7e5c995296374a226bd47bef4eb8ce46aaa1d04b12618d0e5db8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-11T05:29:10Z",
    "title_canon_sha256": "d4644263385e8c00dcca90785664b2dd4bd3e1f7d0885d464d506262764d371b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3199",
    "kind": "arxiv",
    "version": 2
  }
}