Pith Number

pith:4ZHMK243

pith:2008:4ZHMK243RKEEF3CX3IGVDMM35V

not attested not anchored not stored refs pending

Distribution of values of $L$-functions at the edge of the critical strip

Youness Lamzouri

arxiv:0810.2292 v4 · 2008-10-13 · math.NT · 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{4ZHMK243RKEEF3CX3IGVDMM35V}

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	2026-05-18T02:58:11.052103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64ec56b9b8a8842ec57da0d51b19bed6a4e9be58cc8949ec8a4a6d8e06c3efd

Aliases

arxiv: 0810.2292 · arxiv_version: 0810.2292v4 · doi: 10.48550/arxiv.0810.2292 · pith_short_12: 4ZHMK243RKEE · pith_short_16: 4ZHMK243RKEEF3CX · pith_short_8: 4ZHMK243

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/4ZHMK243RKEEF3CX3IGVDMM35V \
  | 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: e64ec56b9b8a8842ec57da0d51b19bed6a4e9be58cc8949ec8a4a6d8e06c3efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bdd809f88bfa50bc18c9282482dc0aacacc071568b45f7e78f48640694bd6bf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-13T19:49:35Z",
    "title_canon_sha256": "9abdd409208af1e1051febf770a00d51e152d70e21f6beb924dee6cc418f6ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2292",
    "kind": "arxiv",
    "version": 4
  }
}