Pith Number

pith:KTBJPE7K

pith:2008:KTBJPE7K5HZQMIW2I4VS3LRWSL

not attested not anchored not stored refs pending

Twenty Digits of Some Integrals of the Prime Zeta Function

Richard J. Mathar

arxiv:0811.4739 v3 · 2008-11-28 · 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{KTBJPE7K5HZQMIW2I4VS3LRWSL}

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	2026-05-18T00:05:34.898675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c29793eae9f30622da472b2dae3692dfd897eefa7dd33b935e04bf2b9ea23b

Aliases

arxiv: 0811.4739 · arxiv_version: 0811.4739v3 · doi: 10.48550/arxiv.0811.4739 · pith_short_12: KTBJPE7K5HZQ · pith_short_16: KTBJPE7K5HZQMIW2 · pith_short_8: KTBJPE7K

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/KTBJPE7K5HZQMIW2I4VS3LRWSL \
  | 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: 54c29793eae9f30622da472b2dae3692dfd897eefa7dd33b935e04bf2b9ea23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c63d5de36a86929d6c395b02b729a3a4d6fd4328b9283f31ff20dbf2260ec49f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-28T15:48:31Z",
    "title_canon_sha256": "8d5030778fd6b5c581e069bcd532ad52539f0f855f876fefb81304fbb07d8f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4739",
    "kind": "arxiv",
    "version": 3
  }
}