Pith Number

pith:6FQQQQPU

pith:2012:6FQQQQPUDQYAVVDLZGMS6TBA7C

not attested not anchored not stored refs pending

Distribution of the sum-of-digits function of random integers: a survey

Hsien-Kuei Hwang, Louis H. Y. Chen, Vytas Zacharovas

arxiv:1212.6697 v2 · 2012-12-30 · math.PR · 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{6FQQQQPUDQYAVVDLZGMS6TBA7C}

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	2026-05-18T02:40:18.864837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1610841f41c300ad46bc9992f4c20f8b86bfad34ba75215aecf84e0a09476c3

Aliases

arxiv: 1212.6697 · arxiv_version: 1212.6697v2 · doi: 10.48550/arxiv.1212.6697 · pith_short_12: 6FQQQQPUDQYA · pith_short_16: 6FQQQQPUDQYAVVDL · pith_short_8: 6FQQQQPU

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/6FQQQQPUDQYAVVDLZGMS6TBA7C \
  | 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: f1610841f41c300ad46bc9992f4c20f8b86bfad34ba75215aecf84e0a09476c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6302430e3f1319d15da426629fb9d28238f564f195c702bf3f09bbc1fef795",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-30T09:22:34Z",
    "title_canon_sha256": "46ab046b1ffe2976fde701b44d4107b2c66799229891048ecb4411d05b84d74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6697",
    "kind": "arxiv",
    "version": 2
  }
}