Pith Number

pith:QVNUUNOS

pith:2015:QVNUUNOSPIDBEA3SQSYAUGE7EE

not attested not anchored not stored refs pending

Orderings of weakly correlated random variables, and prime number races with many contestants

Adam J. Harper, Youness Lamzouri

arxiv:1509.07188 v1 · 2015-09-24 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVNUUNOSPIDBEA3SQSYAUGE7EE}

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	2026-05-18T01:32:09.707390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855b4a35d27a0612037284b00a189f21061536878c63578c638bbbc1109b2314

Aliases

arxiv: 1509.07188 · arxiv_version: 1509.07188v1 · doi: 10.48550/arxiv.1509.07188 · pith_short_12: QVNUUNOSPIDB · pith_short_16: QVNUUNOSPIDBEA3S · pith_short_8: QVNUUNOS

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/QVNUUNOSPIDBEA3SQSYAUGE7EE \
  | 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: 855b4a35d27a0612037284b00a189f21061536878c63578c638bbbc1109b2314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ea27b64c24337bb0606e3917b15a892a706432a57838b8d8a913179f79e06a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-24T00:25:18Z",
    "title_canon_sha256": "ecaa5b2b2c8497d542f10f85ea2fac755e7d731fcff23201489fca5769f9ea83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07188",
    "kind": "arxiv",
    "version": 1
  }
}