Pith Number

pith:5GFBL374

pith:2021:5GFBL374I5IDDM3YQUGEU3U6ML

not attested not anchored not stored refs pending

Which numbers are not the sum plus the product of three positive integers?

Brian Conrey, Neil Shah

arxiv:2112.15551 v2 · 2021-12-31 · 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{5GFBL374I5IDDM3YQUGEU3U6ML}

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	2026-07-05T03:53:15.161894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98a15effc475031b378850c4a6e9e62dfec5503bedb754528cfef4f1198ae3c

Aliases

arxiv: 2112.15551 · arxiv_version: 2112.15551v2 · doi: 10.48550/arxiv.2112.15551 · pith_short_12: 5GFBL374I5ID · pith_short_16: 5GFBL374I5IDDM3Y · pith_short_8: 5GFBL374

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/5GFBL374I5IDDM3YQUGEU3U6ML \
  | 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: e98a15effc475031b378850c4a6e9e62dfec5503bedb754528cfef4f1198ae3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1af3c0f4fe0494e73f7849a67b1eb19d724dfb6bc5d0c3afa4d357d9e7dfa6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-31T16:59:21Z",
    "title_canon_sha256": "878b19e0a0172a44e567ad59b4176c1c10c8c832cf21eb29acd5fe55223b7e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15551",
    "kind": "arxiv",
    "version": 2
  }
}