Pith Number

pith:LCCIETX2

pith:2016:LCCIETX2WNHF3YETYFX32W2OQT

not attested not anchored not stored refs pending

An effective universality theorem for the Riemann zeta-function

Maksym Radziwill, Stephen Lester, Youness Lamzouri

arxiv:1611.10325 v2 · 2016-11-30 · 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{LCCIETX2WNHF3YETYFX32W2OQT}

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	2026-05-18T00:55:54.056222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5884824efab34e5de093c16fbd5b4e84db617a6370e489e39a82b966ee9e1a19

Aliases

arxiv: 1611.10325 · arxiv_version: 1611.10325v2 · doi: 10.48550/arxiv.1611.10325 · pith_short_12: LCCIETX2WNHF · pith_short_16: LCCIETX2WNHF3YET · pith_short_8: LCCIETX2

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/LCCIETX2WNHF3YETYFX32W2OQT \
  | 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: 5884824efab34e5de093c16fbd5b4e84db617a6370e489e39a82b966ee9e1a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399f31b971da67063e065a12055442a6b1d2d8eaaca03a8fce2def17b5c06070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-30T19:32:42Z",
    "title_canon_sha256": "5b1b186b89c64d19187277378a677d3bde8d1f558b238da00a4e0032e01bac79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10325",
    "kind": "arxiv",
    "version": 2
  }
}