Pith Number

pith:ULAWHKN5

pith:2016:ULAWHKN5OD457IU3CNMWHJG3EW

not attested not anchored not stored refs pending

On the digital representation of integers with bounded prime factors

Yann Bugeaud

arxiv:1609.07926 v1 · 2016-09-26 · 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{ULAWHKN5OD457IU3CNMWHJG3EW}

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	2026-05-18T01:03:54.983527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c163a9bd70f9dfa29b135963a4db25a0de01a9cff540927cde6101fd573f0a

Aliases

arxiv: 1609.07926 · arxiv_version: 1609.07926v1 · doi: 10.48550/arxiv.1609.07926 · pith_short_12: ULAWHKN5OD45 · pith_short_16: ULAWHKN5OD457IU3 · pith_short_8: ULAWHKN5

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/ULAWHKN5OD457IU3CNMWHJG3EW \
  | 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: a2c163a9bd70f9dfa29b135963a4db25a0de01a9cff540927cde6101fd573f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcc0b75f643418336c254b90f88538a304c9a4acf4971ef1306266102374675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-26T11:32:08Z",
    "title_canon_sha256": "72173eb1687f892f82f0f6451e9f7e210c4a75761af3a44338ae9b9866a2e099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07926",
    "kind": "arxiv",
    "version": 1
  }
}