Pith Number

pith:CM7ZAPZR

pith:2014:CM7ZAPZRJHIZCXB3G6UZQ65S3W

not attested not anchored not stored refs pending

Discrepancy bounds for the distribution of the Riemann zeta-function and applications

Maksym Radziwill, Stephen Lester, Youness Lamzouri

arxiv:1402.6682 v1 · 2014-02-26 · math.NT · math.CA · 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{CM7ZAPZRJHIZCXB3G6UZQ65S3W}

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	2026-05-18T02:57:43.872278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133f903f3149d1915c3b37a9987bb2dda9543f37f41eded68b435f727dafc31e

Aliases

arxiv: 1402.6682 · arxiv_version: 1402.6682v1 · doi: 10.48550/arxiv.1402.6682 · pith_short_12: CM7ZAPZRJHIZ · pith_short_16: CM7ZAPZRJHIZCXB3 · pith_short_8: CM7ZAPZR

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/CM7ZAPZRJHIZCXB3G6UZQ65S3W \
  | 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: 133f903f3149d1915c3b37a9987bb2dda9543f37f41eded68b435f727dafc31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da73415fc58ff72c608f4c7b8c9392a28f82ce3e5db77e24463a4a974bd7cb4",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-26T20:48:00Z",
    "title_canon_sha256": "1d0188969b304333ef3e4759d122bacd056116f650a93d17e7c82c7678884bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6682",
    "kind": "arxiv",
    "version": 1
  }
}