Pith Number

pith:5CDE7ES4

pith:2010:5CDE7ES4MB2VRTIWFWNCYZTVL2

not attested not anchored not stored refs pending

Non-vanishing of Dirichlet L-functions at the central point

H. M. Bui

arxiv:1006.0930 v2 · 2010-06-04 · 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{5CDE7ES4MB2VRTIWFWNCYZTVL2}

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	2026-05-18T03:41:32.486324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8864f925c607558cd162d9a2c66755e9483a8bb34be6cf1d465054ee7df2b84

Aliases

arxiv: 1006.0930 · arxiv_version: 1006.0930v2 · doi: 10.48550/arxiv.1006.0930 · pith_short_12: 5CDE7ES4MB2V · pith_short_16: 5CDE7ES4MB2VRTIW · pith_short_8: 5CDE7ES4

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/5CDE7ES4MB2VRTIWFWNCYZTVL2 \
  | 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: e8864f925c607558cd162d9a2c66755e9483a8bb34be6cf1d465054ee7df2b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c3c519a3fe6c5150c5e242a69ba8be87e8519752136d7a12fb64a6be71272e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-04T15:56:12Z",
    "title_canon_sha256": "800d12269a4582bb5d48209b3a0dd9671109117963c92f7fc3d89f45604c3aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0930",
    "kind": "arxiv",
    "version": 2
  }
}