Pith Number

pith:WOYHGMF4

pith:2009:WOYHGMF4AJB5BBHSNYHNI4LYLB

not attested not anchored not stored refs pending

Divisors of shifted primes

Dimitris Koukoulopoulos

arxiv:0905.0163 v3 · 2009-05-01 · 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{WOYHGMF4AJB5BBHSNYHNI4LYLB}

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	2026-05-18T04:31:51.493187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b07330bc0243d084f26e0ed47178587589e6469e649ba9cee0d5c98fc1c785

Aliases

arxiv: 0905.0163 · arxiv_version: 0905.0163v3 · doi: 10.48550/arxiv.0905.0163 · pith_short_12: WOYHGMF4AJB5 · pith_short_16: WOYHGMF4AJB5BBHS · pith_short_8: WOYHGMF4

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/WOYHGMF4AJB5BBHSNYHNI4LYLB \
  | 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: b3b07330bc0243d084f26e0ed47178587589e6469e649ba9cee0d5c98fc1c785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43691b51499ae9f296ba0172e287fbb1e1de955db1275ef5cf79a4a6ab0c06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-01T23:06:14Z",
    "title_canon_sha256": "06a80ed494bf0c4ea03fa3f1ad245e62f01b3b8081ca4789a2af848f12ffa16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0163",
    "kind": "arxiv",
    "version": 3
  }
}