Pith Number

pith:45FX22QW

pith:2014:45FX22QWBEXQ3WDXNUQNE7DN5Q

not attested not anchored not stored refs pending

Approximation of Riemann's zeta function by finite Dirichlet series: multiprecision numerical approach

Gleb Beliakov, Yuri Matiyasevich

arxiv:1402.5295 v1 · 2014-02-21 · 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{45FX22QWBEXQ3WDXNUQNE7DN5Q}

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	2026-07-05T03:25:08.209511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74b7d6a16092f0dd8776d20d27c6dec2efb94a1e75e9d5c44dd94938cb0df81

Aliases

arxiv: 1402.5295 · arxiv_version: 1402.5295v1 · doi: 10.48550/arxiv.1402.5295 · pith_short_12: 45FX22QWBEXQ · pith_short_16: 45FX22QWBEXQ3WDX · pith_short_8: 45FX22QW

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/45FX22QWBEXQ3WDXNUQNE7DN5Q \
  | 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: e74b7d6a16092f0dd8776d20d27c6dec2efb94a1e75e9d5c44dd94938cb0df81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e168f98c11a0ed2b9ceac794c777bd0d46ef62790497d24cb503400d88e182f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-21T13:53:07Z",
    "title_canon_sha256": "f704969eafb01cdf053ebf4a08dd8225d74cd79dae445f90ee25f63977b48fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5295",
    "kind": "arxiv",
    "version": 1
  }
}