Pith Number

pith:EZJQRXRU

pith:2015:EZJQRXRU2UMISE7TD2GDAWU4BR

not attested not anchored not stored refs pending

Simultaneous distribution of fractional parts of Riemann zeta zeros

Alexandru Zaharescu, Kevin Ford, Xianchang Meng

arxiv:1511.06814 v2 · 2015-11-21 · 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{EZJQRXRU2UMISE7TD2GDAWU4BR}

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	2026-05-17T23:56:48.883338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265308de34d5188913f31e8c305a9c0c6710009d0836c7c46df287241934e287

Aliases

arxiv: 1511.06814 · arxiv_version: 1511.06814v2 · doi: 10.48550/arxiv.1511.06814 · pith_short_12: EZJQRXRU2UMI · pith_short_16: EZJQRXRU2UMISE7T · pith_short_8: EZJQRXRU

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/EZJQRXRU2UMISE7TD2GDAWU4BR \
  | 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: 265308de34d5188913f31e8c305a9c0c6710009d0836c7c46df287241934e287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f223ea81e2746068c2f1d48ea31c2c786cb98d62e5de9fa9bf64ad4e1f8f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-21T01:47:37Z",
    "title_canon_sha256": "191de109944df28d7278ce1e45778ccc102a88fca6c2d1b12eef5e0bbc2afeb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06814",
    "kind": "arxiv",
    "version": 2
  }
}