Pith Number

pith:B4BO5NAA

pith:2009:B4BO5NAAI5GJ57ZOY37O42YUOE

not attested not anchored not stored refs pending

A note on the fourth moment of Dirichlet L-functions

D. R. Heath-Brown, H. M. Bui

arxiv:0903.4008 v1 · 2009-03-24 · 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{B4BO5NAAI5GJ57ZOY37O42YUOE}

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	2026-05-18T02:14:26.327328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f02eeb400474c9eff2ec6feee6b147135c64137fe741965c1ea8d41f56f577b

Aliases

arxiv: 0903.4008 · arxiv_version: 0903.4008v1 · doi: 10.48550/arxiv.0903.4008 · pith_short_12: B4BO5NAAI5GJ · pith_short_16: B4BO5NAAI5GJ57ZO · pith_short_8: B4BO5NAA

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/B4BO5NAAI5GJ57ZOY37O42YUOE \
  | 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: 0f02eeb400474c9eff2ec6feee6b147135c64137fe741965c1ea8d41f56f577b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6f27daa1e266e98d13e5c3e2e8450aae16da7f58d0aac12a9fc04072a7f611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-24T03:39:20Z",
    "title_canon_sha256": "31d03abde1d9c6b95c029c122fef535e165545d13dab5de2f58a3e81d4f1c2ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4008",
    "kind": "arxiv",
    "version": 1
  }
}