Pith Number

pith:PQSMABWJ

pith:2002:PQSMABWJQKCCSN5D473BVAW5PI

not attested not anchored not stored refs pending

On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials

A.P. Veselov, J.P. Ward

arxiv:math/0205183 v1 · 2002-05-16 · math.GM · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQSMABWJQKCCSN5D473BVAW5PI}

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	2026-05-18T01:05:29.560570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c24c006c982842937a3e7f61a82dd7a0bfa34fd89b8137bffe647b043a4fcd9

Aliases

arxiv: math/0205183 · arxiv_version: math/0205183v1 · doi: 10.48550/arxiv.math/0205183 · pith_short_12: PQSMABWJQKCC · pith_short_16: PQSMABWJQKCCSN5D · pith_short_8: PQSMABWJ

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/PQSMABWJQKCCSN5D473BVAW5PI \
  | 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: 7c24c006c982842937a3e7f61a82dd7a0bfa34fd89b8137bffe647b043a4fcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b719ef6e34930ec4a5e4080deaa07f266fdd72daa40e784459ec78ebcb681b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2002-05-16T10:37:25Z",
    "title_canon_sha256": "f145c21e837d604bea7e653fe6b6e5ae913c6de1a21c44b2cfe9f55f88ffc1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205183",
    "kind": "arxiv",
    "version": 1
  }
}