Pith Number

pith:WW7A5UAH

pith:2017:WW7A5UAHEASCUVR2FJBXJDLMIP

not attested not anchored not stored refs pending

On the digital representation of smooth numbers

Hajime Kaneko, Yann Bugeaud

arxiv:1704.00432 v1 · 2017-04-03 · 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{WW7A5UAHEASCUVR2FJBXJDLMIP}

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	2026-05-18T00:01:00.782533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5be0ed00720242a563a2a43748d6c43f78d41db14ab3e5820f9889b37228866

Aliases

arxiv: 1704.00432 · arxiv_version: 1704.00432v1 · doi: 10.48550/arxiv.1704.00432 · pith_short_12: WW7A5UAHEASC · pith_short_16: WW7A5UAHEASCUVR2 · pith_short_8: WW7A5UAH

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/WW7A5UAHEASCUVR2FJBXJDLMIP \
  | 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: b5be0ed00720242a563a2a43748d6c43f78d41db14ab3e5820f9889b37228866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae9732bbd8327a76d6aee6800add265227bc419f3751d54db8cf6d70c87dd0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-03T05:46:54Z",
    "title_canon_sha256": "98c3d5338a67d7916cbed88d911d8bacea0c6af4d27b7c6dd70b1ea291a84f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00432",
    "kind": "arxiv",
    "version": 1
  }
}