Pith Number

pith:IH4DQOWH

pith:2013:IH4DQOWHXUMCXWTWHV4YG4TUBG

not attested not anchored not stored refs pending

An electrostatic depiction of the validity of the Riemann Hypothesis and a formula for the N-th zero at large N

Andr\'e LeClair

arxiv:1305.2613 v5 · 2013-05-12 · math-ph · hep-th · math.MP · 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{IH4DQOWHXUMCXWTWHV4YG4TUBG}

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	2026-05-18T01:50:03.162146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f8383ac7bd182bda763d7983727409952d282a458904ac5f39216e1d0d758e

Aliases

arxiv: 1305.2613 · arxiv_version: 1305.2613v5 · doi: 10.48550/arxiv.1305.2613 · pith_short_12: IH4DQOWHXUMC · pith_short_16: IH4DQOWHXUMCXWTW · pith_short_8: IH4DQOWH

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/IH4DQOWHXUMCXWTWHV4YG4TUBG \
  | 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: 41f8383ac7bd182bda763d7983727409952d282a458904ac5f39216e1d0d758e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f299652896df27aba4cfd73f34395f8446807d4a188d28cb1a12f45795ae24",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-12T17:43:23Z",
    "title_canon_sha256": "59c9ddac011518fb97110085093765fd3b4dbaef2389e7c13581d01f6e812b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2613",
    "kind": "arxiv",
    "version": 5
  }
}