Pith Number

pith:WTHMO3UD

pith:2023:WTHMO3UDE3ZD7ZBJRQ5DT4IDJR

not attested not anchored not stored refs pending

Summing the sum of digits

Jean-Paul Allouche, Manon Stipulanti

arxiv:2311.16806 v3 · 2023-11-28 · math.NT · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTHMO3UDE3ZD7ZBJRQ5DT4IDJR}

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	2026-05-20T14:03:16.919300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4cec76e8326f23fe4298c3a39f1034c79d114aca93f8f705c003a209a7ad26f

Aliases

arxiv: 2311.16806 · arxiv_version: 2311.16806v3 · doi: 10.48550/arxiv.2311.16806 · pith_short_12: WTHMO3UDE3ZD · pith_short_16: WTHMO3UDE3ZD7ZBJ · pith_short_8: WTHMO3UD

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/WTHMO3UDE3ZD7ZBJRQ5DT4IDJR \
  | 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: b4cec76e8326f23fe4298c3a39f1034c79d114aca93f8f705c003a209a7ad26f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4c1cc2f0805c445ea1c9efbf15e194efe5ef55b1406f1484dca029a4262eb8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-28T14:07:04Z",
    "title_canon_sha256": "e3d587b450d03e1762ae5b605e3b10779400cd122f90d4bbaf1365269e789240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16806",
    "kind": "arxiv",
    "version": 3
  }
}