Pith Number

pith:RZTWU42P

pith:2025:RZTWU42PH2WGSIP5NJ7HZ3FKSP

not attested not anchored not stored refs pending

Simple and accurate approximations to the Riemann zeta function

Alexey Kuznetsov

arxiv:2503.09519 v2 · 2025-03-12 · math.NT · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZTWU42PH2WGSIP5NJ7HZ3FKSP}

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	2026-05-22T01:03:41.819585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e676a734f3eac6921fd6a7e7cecaa93fb889efc33250d5f2031d209877781ff

Aliases

arxiv: 2503.09519 · arxiv_version: 2503.09519v2 · doi: 10.48550/arxiv.2503.09519 · pith_short_12: RZTWU42PH2WG · pith_short_16: RZTWU42PH2WGSIP5 · pith_short_8: RZTWU42P

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/RZTWU42PH2WGSIP5NJ7HZ3FKSP \
  | 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: 8e676a734f3eac6921fd6a7e7cecaa93fb889efc33250d5f2031d209877781ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49aca0d261d7ed6adc85b22b96238d403c3c933107abf689ac6944848385cbc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-12T16:34:55Z",
    "title_canon_sha256": "82391589c6b25e2e45e25afc4c70fe49465718d18d2de05e447614fd827a220f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09519",
    "kind": "arxiv",
    "version": 2
  }
}