Pith Number

pith:S6KPXQ5H

pith:2011:S6KPXQ5HGPSVHM733K2BOHSIJ4

not attested not anchored not stored refs pending

On the number of integers in a generalized multiplication table

Dimitris Koukoulopoulos

arxiv:1102.3236 v3 · 2011-02-16 · 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{S6KPXQ5HGPSVHM733K2BOHSIJ4}

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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	2026-05-18T00:42:44.781852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9794fbc3a733e553b3fbdab4171e484f3d822f04d904936dbb49a18e45ab5a80

Aliases

arxiv: 1102.3236 · arxiv_version: 1102.3236v3 · doi: 10.48550/arxiv.1102.3236 · pith_short_12: S6KPXQ5HGPSV · pith_short_16: S6KPXQ5HGPSVHM73 · pith_short_8: S6KPXQ5H

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/S6KPXQ5HGPSVHM733K2BOHSIJ4 \
  | 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: 9794fbc3a733e553b3fbdab4171e484f3d822f04d904936dbb49a18e45ab5a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6cb8879ebcfe2dd6326e3c69e2a8d7377db85e8adf62585322a85d556af7f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-16T04:39:56Z",
    "title_canon_sha256": "e36d7066ff51bd85915a25dd4cc6dbbbd8afb6e7ecd76f4168d4287d8f612038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3236",
    "kind": "arxiv",
    "version": 3
  }
}