Pith Number

pith:5EP2JFSZ

pith:2025:5EP2JFSZJG5MSMJMMUPQX5MJLI

not attested not anchored not stored refs pending

Brownian behaviour of the Riemann zeta function around the critical line

Louis Vassaux

arxiv:2505.07352 v2 · 2025-05-12 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EP2JFSZJG5MSMJMMUPQX5MJLI}

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	2026-06-02T03:04:32.422991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91fa4965949bac9312c651f0bf5895a18d7b34dafba99c9815852e6526f6bcd

Aliases

arxiv: 2505.07352 · arxiv_version: 2505.07352v2 · doi: 10.48550/arxiv.2505.07352 · pith_short_12: 5EP2JFSZJG5M · pith_short_16: 5EP2JFSZJG5MSMJM · pith_short_8: 5EP2JFSZ

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/5EP2JFSZJG5MSMJMMUPQX5MJLI \
  | 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: e91fa4965949bac9312c651f0bf5895a18d7b34dafba99c9815852e6526f6bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e5ccf3d5b39a4cf0e97a6b63aafd5a3732ab49bce0246274bbc01fc73179a2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-12T08:44:45Z",
    "title_canon_sha256": "1bf38221fe9b80f67a432f6c7d3da6f86a6be35d7b362534196f2ade63d7f4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07352",
    "kind": "arxiv",
    "version": 2
  }
}