Pith Number

pith:VD36HVGN

pith:2005:VD36HVGNPHHFESLNQHDTXYXSEV

not attested not anchored not stored refs pending

The maximum size of $L$-functions

C.P. Hughes, David W. Farmer, S.M. Gonek

arxiv:math/0506218 v3 · 2005-06-11 · 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{VD36HVGNPHHFESLNQHDTXYXSEV}

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.

Cited by

1 paper in Pith

Black Holes and Random Variables

Receipt and verification

First computed	2026-07-04T14:50:14.705056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f7e3d4cd79ce52496d81c73be2f2254ac26bcdb3772d7abe133fe0d0870deb

Aliases

arxiv: math/0506218 · arxiv_version: math/0506218v3 · doi: 10.48550/arxiv.math/0506218 · pith_short_12: VD36HVGNPHHF · pith_short_16: VD36HVGNPHHFESLN · pith_short_8: VD36HVGN

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/VD36HVGNPHHFESLNQHDTXYXSEV \
  | 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: a8f7e3d4cd79ce52496d81c73be2f2254ac26bcdb3772d7abe133fe0d0870deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b639366f5d3a6b07cdf76e89f650eae5b24d9683bbfa11221fe9fc941bd95a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-06-11T17:38:29Z",
    "title_canon_sha256": "d6f40af8ac87c3e85382be8f825377c0aaf925c79b9ef6eb768de0ed690c8403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506218",
    "kind": "arxiv",
    "version": 3
  }
}