Pith Number

pith:BIEVZBOS

pith:2020:BIEVZBOSWBC2CPAMMQSK44TQWD

not attested not anchored not stored refs pending

The Riemann hypothesis is true up to $3\cdot 10^{12}$

Dave Platt, Tim Trudgian

arxiv:2004.09765 v1 · 2020-04-21 · 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{BIEVZBOSWBC2CPAMMQSK44TQWD}

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.

Cited by

1 paper in Pith

Explicit formula for the discrete Laplace transform of the M\"obius function, related special functions, and a criterion for the Riemann hypothesis

Receipt and verification

First computed	2026-07-05T02:12:23.313583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a095c85d2b045a13c0c6424ae7270b0fcd8e682a015eef0651b4f7f811af43f

Aliases

arxiv: 2004.09765 · arxiv_version: 2004.09765v1 · doi: 10.48550/arxiv.2004.09765 · pith_short_12: BIEVZBOSWBC2 · pith_short_16: BIEVZBOSWBC2CPAM · pith_short_8: BIEVZBOS

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/BIEVZBOSWBC2CPAMMQSK44TQWD \
  | 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: 0a095c85d2b045a13c0c6424ae7270b0fcd8e682a015eef0651b4f7f811af43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f797387a3e6bf29aa755e9ba6b40f3b753d999c0b5a7fc00a629c2b52f5430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-04-21T05:50:50Z",
    "title_canon_sha256": "9c565c57918faae8f77c2d8af143cc076c14808bdfdc9d0ac7606e03a680642e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09765",
    "kind": "arxiv",
    "version": 1
  }
}