Pith Number

pith:TW3GHVZI

pith:1992:TW3GHVZIR3QNCYLRASF633TKPP

not attested not anchored not stored refs pending

Johann Faulhaber and sums of powers

Donald E. Knuth

arxiv:math/9207222 v1 · 1992-07-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW3GHVZIR3QNCYLRASF633TKPP}

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	2026-05-18T01:38:23.110532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db663d7288ee0d16171048bedee6a7bf88993a74c66cffb1acd327e75c572f1

Aliases

arxiv: math/9207222 · arxiv_version: math/9207222v1 · doi: 10.48550/arxiv.math/9207222 · pith_short_12: TW3GHVZIR3QN · pith_short_16: TW3GHVZIR3QNCYLR · pith_short_8: TW3GHVZI

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/TW3GHVZIR3QNCYLRASF633TKPP \
  | 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: 9db663d7288ee0d16171048bedee6a7bf88993a74c66cffb1acd327e75c572f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2ae6bb8c73b344195dff778fea66b0282ea6610e0478001cc013215ccd9244",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1992-07-27T00:00:00Z",
    "title_canon_sha256": "ecbd798b91d3bb695b812ede232d6fc7c6b9bc5f5faa36dba618d4635cf3e633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9207222",
    "kind": "arxiv",
    "version": 1
  }
}