Pith Number

pith:O43CN2WF

pith:2012:O43CN2WFCTLZXNCPPIRESBA3PW

not attested not anchored not stored refs pending

A central limit theorem for the zeroes of the zeta function

Brad Rodgers

arxiv:1205.0303 v5 · 2012-05-02 · math.PR · 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{O43CN2WFCTLZXNCPPIRESBA3PW}

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	2026-05-18T02:52:12.956649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773626eac514d79bb44f7a2249041b7d911a850e36885c3c4a1d48ab94f296b2

Aliases

arxiv: 1205.0303 · arxiv_version: 1205.0303v5 · doi: 10.48550/arxiv.1205.0303 · pith_short_12: O43CN2WFCTLZ · pith_short_16: O43CN2WFCTLZXNCP · pith_short_8: O43CN2WF

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/O43CN2WFCTLZXNCPPIRESBA3PW \
  | 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: 773626eac514d79bb44f7a2249041b7d911a850e36885c3c4a1d48ab94f296b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f3d23e930eeeda5953d0031903ff5b1eed794043856068513bad6505ad92da",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-02T02:25:22Z",
    "title_canon_sha256": "9b6d1e212297fb967f6f9dcd512b30e8ddede74c270e2458c300c5ad68d3623f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0303",
    "kind": "arxiv",
    "version": 5
  }
}