Pith Number

pith:OBSREJYQ

pith:2004:OBSREJYQEZPPV63W5ELPRGRTEJ

not attested not anchored not stored refs pending

On the period of the linear congruential and power generators

C. Pomerance, P. Kurlberg

arxiv:math/0405120 v2 · 2004-05-07 · 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{OBSREJYQEZPPV63W5ELPRGRTEJ}

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	2026-05-18T01:38:28.366675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7065122710265efafb76e916f89a3322650826bec707069980d9cb375bde66bf

Aliases

arxiv: math/0405120 · arxiv_version: math/0405120v2 · doi: 10.48550/arxiv.math/0405120 · pith_short_12: OBSREJYQEZPP · pith_short_16: OBSREJYQEZPPV63W · pith_short_8: OBSREJYQ

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/OBSREJYQEZPPV63W5ELPRGRTEJ \
  | 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: 7065122710265efafb76e916f89a3322650826bec707069980d9cb375bde66bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "254c7e9f637cded531c8ad856f32e8da111f8d32f953a562479e5e81050553bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-05-07T16:55:08Z",
    "title_canon_sha256": "3cac8ec7c168ee02a9024c7f61ea5d279b09edb5d4b196ddbb9f84854dd5d6f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405120",
    "kind": "arxiv",
    "version": 2
  }
}