Pith Number

pith:WCQ2QH6R

pith:2017:WCQ2QH6REZ3JACCKO5FPAGRDD5

not attested not anchored not stored refs pending

A generalization of the practical numbers

Lola Thompson, Nicholas Schwab

arxiv:1701.08504 v2 · 2017-01-30 · 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{WCQ2QH6REZ3JACCKO5FPAGRDD5}

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	2026-05-18T00:48:05.045895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a1a81fd1267690084a774af01a231f5cb7cbe482c97a124c1228381f1bfeb0

Aliases

arxiv: 1701.08504 · arxiv_version: 1701.08504v2 · doi: 10.48550/arxiv.1701.08504 · pith_short_12: WCQ2QH6REZ3J · pith_short_16: WCQ2QH6REZ3JACCK · pith_short_8: WCQ2QH6R

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/WCQ2QH6REZ3JACCKO5FPAGRDD5 \
  | 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: b0a1a81fd1267690084a774af01a231f5cb7cbe482c97a124c1228381f1bfeb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75485b4478e2819a201c10ab7bd789bbb24b1ec0e2098149645c149caa8b1ef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-30T07:40:45Z",
    "title_canon_sha256": "f8fc10f022a5e86dcd68a75ed80813f533224de4e45605124171ec8300e085e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08504",
    "kind": "arxiv",
    "version": 2
  }
}