Pith Number

pith:2OKU6QKR

pith:2012:2OKU6QKRDBQMACSVHY3GPYVL2H

not attested not anchored not stored refs pending

Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory

Alexei Entin, Edva Roditty-Gershon, Zeev Rudnick

arxiv:1208.5962 v4 · 2012-08-29 · 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{2OKU6QKRDBQMACSVHY3GPYVL2H}

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	2026-05-18T03:26:32.424669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3954f41511860c00a553e3667e2abd1cb0212f7296c93c3b19c0c0e9fc005cb

Aliases

arxiv: 1208.5962 · arxiv_version: 1208.5962v4 · doi: 10.48550/arxiv.1208.5962 · pith_short_12: 2OKU6QKRDBQM · pith_short_16: 2OKU6QKRDBQMACSV · pith_short_8: 2OKU6QKR

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/2OKU6QKRDBQMACSVHY3GPYVL2H \
  | 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: d3954f41511860c00a553e3667e2abd1cb0212f7296c93c3b19c0c0e9fc005cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a265e342b2acd0b7aff6b2b79ac21bc8d361b9965e3d3d003ec4d4497b9db730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-29T16:32:56Z",
    "title_canon_sha256": "82c11d60c852ea3fdc623e842a364350ea1051b3a32a6b331d1924c0d28ae133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5962",
    "kind": "arxiv",
    "version": 4
  }
}