Pith Number

pith:QCJ73LQX

pith:2012:QCJ73LQXA2C4VE4K6H4K7CSQJP

not attested not anchored not stored refs pending

On the higher derivatives of Z(t) associated with the Riemann Zeta-Function

Kaneaki Matsuoka

arxiv:1205.2161 v1 · 2012-05-10 · 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{QCJ73LQXA2C4VE4K6H4K7CSQJP}

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	2026-05-18T03:55:56.885304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8093fdae170685ca938af1f8af8a504be44c8303f03647757dc08335ecacef52

Aliases

arxiv: 1205.2161 · arxiv_version: 1205.2161v1 · doi: 10.48550/arxiv.1205.2161 · pith_short_12: QCJ73LQXA2C4 · pith_short_16: QCJ73LQXA2C4VE4K · pith_short_8: QCJ73LQX

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/QCJ73LQXA2C4VE4K6H4K7CSQJP \
  | 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: 8093fdae170685ca938af1f8af8a504be44c8303f03647757dc08335ecacef52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c67ee8922e01413b60050fb752e0a23ceaac6ee5c6b52d2b9fd540631a55e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-10T05:24:14Z",
    "title_canon_sha256": "e13d4820384c7444a9df3e194370989d7a3f959cf3ddc8a9d3b03eeff7f56f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2161",
    "kind": "arxiv",
    "version": 1
  }
}