Pith Number

pith:YIIZFJAV

pith:2011:YIIZFJAV3IT7IIBQMQDADI64QW

not attested not anchored not stored refs pending

Prime number races with three or more competitors

Youness Lamzouri

arxiv:1101.0836 v1 · 2011-01-04 · 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{YIIZFJAV3IT7IIBQMQDADI64QW}

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	2026-05-18T04:32:01.353786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21192a415da27f42030640601a3dc85affd2e8e0a219abffb2470869ec5c1c3

Aliases

arxiv: 1101.0836 · arxiv_version: 1101.0836v1 · doi: 10.48550/arxiv.1101.0836 · pith_short_12: YIIZFJAV3IT7 · pith_short_16: YIIZFJAV3IT7IIBQ · pith_short_8: YIIZFJAV

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/YIIZFJAV3IT7IIBQMQDADI64QW \
  | 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: c21192a415da27f42030640601a3dc85affd2e8e0a219abffb2470869ec5c1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23fad6d99964f29d3342d1fe31654d54a0631a29eee44f28974bb36e35c5bbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-04T22:01:52Z",
    "title_canon_sha256": "b81d767899fdff58ff843971ada8e81c789a4ee5d091c75898350894e706f00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0836",
    "kind": "arxiv",
    "version": 1
  }
}