Pith Number

pith:YNI7B5S2

pith:2013:YNI7B5S2ZRAY6X2VLHT7A7QLCL

not attested not anchored not stored refs pending

Periodic Structure of the Exponential Pseudorandom Number Generator

Igor E. Shparlinski, Jonas Kaszian, Pieter Moree

arxiv:1312.1311 v1 · 2013-12-04 · math.NT · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNI7B5S2ZRAY6X2VLHT7A7QLCL}

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	2026-05-18T03:05:28.835014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c351f0f65acc418f5f5559e7f07e0b12ca35432069898c0c9791147ee1e77116

Aliases

arxiv: 1312.1311 · arxiv_version: 1312.1311v1 · doi: 10.48550/arxiv.1312.1311 · pith_short_12: YNI7B5S2ZRAY · pith_short_16: YNI7B5S2ZRAY6X2V · pith_short_8: YNI7B5S2

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/YNI7B5S2ZRAY6X2VLHT7A7QLCL \
  | 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: c351f0f65acc418f5f5559e7f07e0b12ca35432069898c0c9791147ee1e77116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fe3c5f5d1ce0234c088a5385ca5896ac8bdf82bfb0209d91f1354c63c7cee4",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T20:15:42Z",
    "title_canon_sha256": "dbcbb4b4b8f054a4499437dcaadce572daa4d687da5d0282679439b692dad1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1311",
    "kind": "arxiv",
    "version": 1
  }
}