Pith Number

pith:34PA32X2

pith:2007:34PA32X2UBLJBPT6P75X25WNI5

not attested not anchored not stored refs pending

The twisted fourth moment of the Riemann zeta function

C. P. Hughes, Matthew P. Young

arxiv:0709.2345 v2 · 2007-09-14 · 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{34PA32X2UBLJBPT6P75X25WNI5}

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	2026-05-18T03:29:51.472889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1e0deafaa05690be7e7ffb7d76cd47632be5247f92b0ab946d42d3a03d75f2

Aliases

arxiv: 0709.2345 · arxiv_version: 0709.2345v2 · doi: 10.48550/arxiv.0709.2345 · pith_short_12: 34PA32X2UBLJ · pith_short_16: 34PA32X2UBLJBPT6 · pith_short_8: 34PA32X2

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/34PA32X2UBLJBPT6P75X25WNI5 \
  | 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: df1e0deafaa05690be7e7ffb7d76cd47632be5247f92b0ab946d42d3a03d75f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8427df3528029632ab182b101a27d9e9b1dc49685cdf9c05cc8da1ed1a3c84ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-14T16:55:40Z",
    "title_canon_sha256": "1612a5f0264abf4de85a45ea05ffefba450d8df37c51b15c8117d2905f08b844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2345",
    "kind": "arxiv",
    "version": 2
  }
}