Pith Number

pith:GKJ6WJZJ

pith:2018:GKJ6WJZJLTAHG4TI53OXHFQJYZ

not attested not anchored not stored refs pending

Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$

Igor E. Shparlinski, L\'aszl\'o M\'erai

arxiv:1812.08837 v2 · 2018-12-20 · 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{GKJ6WJZJLTAHG4TI53OXHFQJYZ}

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	2026-05-17T23:43:32.941120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3293eb27295cc0737268eedd739609c65de500c1c927ad28a57fd19029d060eb

Aliases

arxiv: 1812.08837 · arxiv_version: 1812.08837v2 · doi: 10.48550/arxiv.1812.08837 · pith_short_12: GKJ6WJZJLTAH · pith_short_16: GKJ6WJZJLTAHG4TI · pith_short_8: GKJ6WJZJ

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/GKJ6WJZJLTAHG4TI53OXHFQJYZ \
  | 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: 3293eb27295cc0737268eedd739609c65de500c1c927ad28a57fd19029d060eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8a914b8dafc014ba8b1a6880a9e356ee9ad55b10dd6440761032050d3b5e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-20T21:02:53Z",
    "title_canon_sha256": "174e029ef3acb03f81ebc825631e328cd42a3f22d87646bd1fffe5e163185b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08837",
    "kind": "arxiv",
    "version": 2
  }
}