Pith Number

pith:DAV7D2H2

pith:2020:DAV7D2H2LCTQ2X6SR5SCHUR5VJ

not attested not anchored not stored refs pending

Accurate estimation of sums over zeros of the Riemann zeta-function

David J. Platt, Richard P. Brent, Timothy S. Trudgian

arxiv:2009.13791 v1 · 2020-09-29 · 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{DAV7D2H2LCTQ2X6SR5SCHUR5VJ}

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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.

Cited by

1 paper in Pith

Riemann and the logarithmic derivatives of zeta

Receipt and verification

First computed	2026-07-05T03:09:27.564366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182bf1e8fa58a70d5fd28f6423d23daa77e025ae8ae5aee99d579984e9c926f1

Aliases

arxiv: 2009.13791 · arxiv_version: 2009.13791v1 · doi: 10.48550/arxiv.2009.13791 · pith_short_12: DAV7D2H2LCTQ · pith_short_16: DAV7D2H2LCTQ2X6S · pith_short_8: DAV7D2H2

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/DAV7D2H2LCTQ2X6SR5SCHUR5VJ \
  | 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: 182bf1e8fa58a70d5fd28f6423d23daa77e025ae8ae5aee99d579984e9c926f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67956e13f082eb1cbf3fd055311925b3fb14d6f653f2fecc214b6bbbd9c7b04b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-09-29T05:55:33Z",
    "title_canon_sha256": "7cdf83003cdb24eeb6a6f53278550b6f37f8edd89f0a39eaeb855650bd2a930a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13791",
    "kind": "arxiv",
    "version": 1
  }
}