Pith Number

pith:SLDB3JUB

pith:2015:SLDB3JUB3ZNLU5LQDPR7R2YGEX

not attested not anchored not stored refs pending

Nonvanishing of Dirichlet L-functions

Hieu T. Ngo, Rizwanur Khan

arxiv:1512.04030 v2 · 2015-12-13 · 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{SLDB3JUB3ZNLU5LQDPR7R2YGEX}

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	2026-05-18T00:55:14.300730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92c61da681de5aba75701be3f8eb0625f7054411179bd3d51498f04c2b8160ea

Aliases

arxiv: 1512.04030 · arxiv_version: 1512.04030v2 · doi: 10.48550/arxiv.1512.04030 · pith_short_12: SLDB3JUB3ZNL · pith_short_16: SLDB3JUB3ZNLU5LQ · pith_short_8: SLDB3JUB

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/SLDB3JUB3ZNLU5LQDPR7R2YGEX \
  | 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: 92c61da681de5aba75701be3f8eb0625f7054411179bd3d51498f04c2b8160ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6173561fd49f38c0080e832145697295b2a847ff0188ac719fa293ba178bf1ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-13T10:06:47Z",
    "title_canon_sha256": "d0ca472db86d5d05867e03472e59892070a9c7363a4d262bbf0f9ee8731167e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04030",
    "kind": "arxiv",
    "version": 2
  }
}