Pith Number

pith:RVVHI25J

pith:2025:RVVHI25J7UIICJK2GMOKNB266Z

not attested not anchored not stored refs pending

Complex moments of the derivative of the Riemann zeta function

Andrew Pearce-Crump, Christopher Hughes

arxiv:2509.07788 v1 · 2025-09-09 · 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{RVVHI25J7UIICJK2GMOKNB266Z}

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	2026-07-05T12:07:28.370988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d6a746ba9fd1081255a331ca6875ef667ecd2a43b2c6e883bc8234ea5f50959

Aliases

arxiv: 2509.07788 · arxiv_version: 2509.07788v1 · doi: 10.48550/arxiv.2509.07788 · pith_short_12: RVVHI25J7UII · pith_short_16: RVVHI25J7UIICJK2 · pith_short_8: RVVHI25J

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/RVVHI25J7UIICJK2GMOKNB266Z \
  | 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: 8d6a746ba9fd1081255a331ca6875ef667ecd2a43b2c6e883bc8234ea5f50959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c0a47176de0d67e9634be6e28956c46c0ea241581ec1bd80649baa508f48b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-09T14:23:05Z",
    "title_canon_sha256": "86b6ad4faaa42d570a78b41e87343fc783dd4cd1ebd84d1bc13872621fc4c0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07788",
    "kind": "arxiv",
    "version": 1
  }
}