Pith Number

pith:XSTWK5LZ

pith:2010:XSTWK5LZO6A6I3MTVSJJY2B3JC

not attested not anchored not stored refs pending

On the distribution of extreme values of zeta and $L$-functions in the strip $1/2<\sigma<1$

Youness Lamzouri

arxiv:1005.4640 v2 · 2010-05-25 · 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{XSTWK5LZO6A6I3MTVSJJY2B3JC}

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	2026-05-18T04:31:52.362837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca76575797781e46d93ac929c683b48b5917af66449da80102a58fbb3f63a03

Aliases

arxiv: 1005.4640 · arxiv_version: 1005.4640v2 · doi: 10.48550/arxiv.1005.4640 · pith_short_12: XSTWK5LZO6A6 · pith_short_16: XSTWK5LZO6A6I3MT · pith_short_8: XSTWK5LZ

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/XSTWK5LZO6A6I3MTVSJJY2B3JC \
  | 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: bca76575797781e46d93ac929c683b48b5917af66449da80102a58fbb3f63a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a3746a94d92dc2d4c1500d164e82f47918a8a1082bcadacd85cf563153d1cf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-25T17:30:51Z",
    "title_canon_sha256": "e4e27140689e106bdcf6d64c3235a30438f730a3219bcdcfe2afe130d20c5ce9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4640",
    "kind": "arxiv",
    "version": 2
  }
}