Pith Number

pith:F2QUQ566

pith:2014:F2QUQ566HQ52YTDFGQ6BJA2CXW

not attested not anchored not stored refs pending

Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function

Brad Rodgers, Kenneth Maples

arxiv:1404.3080 v2 · 2014-04-11 · 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{F2QUQ566HQ52YTDFGQ6BJA2CXW}

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	2026-05-18T01:12:58.829995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea14877de3c3bac4c65343c148342bdb768bdbfa67ebf07c6c792271f0669b8

Aliases

arxiv: 1404.3080 · arxiv_version: 1404.3080v2 · doi: 10.48550/arxiv.1404.3080 · pith_short_12: F2QUQ566HQ52 · pith_short_16: F2QUQ566HQ52YTDF · pith_short_8: F2QUQ566

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/F2QUQ566HQ52YTDFGQ6BJA2CXW \
  | 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: 2ea14877de3c3bac4c65343c148342bdb768bdbfa67ebf07c6c792271f0669b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d4681d4cbab1e8cb3dae42bd010695862b252f3165a6aff2c0a789280b838f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-11T11:44:17Z",
    "title_canon_sha256": "54a6678bcddf918a1f1c0161a5a586086ecaed4e6e800fc8f19d2e3ba9554910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3080",
    "kind": "arxiv",
    "version": 2
  }
}