Pith Number

pith:CLIKZ3DM

pith:2012:CLIKZ3DM6GLTIRI5HKOR5ARAAX

not attested not anchored not stored refs pending

The Mean Value of $L(\tfrac{1}{2},\chi)$ in the Hyperelliptic Ensemble

J. C. Andrade, J. P. Keating

arxiv:1208.1131 v1 · 2012-08-06 · 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{CLIKZ3DM6GLTIRI5HKOR5ARAAX}

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	2026-05-18T03:49:20.501201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d0acec6cf19734451d3a9d1e822005cd939e871068de2fba57c876560d8234

Aliases

arxiv: 1208.1131 · arxiv_version: 1208.1131v1 · doi: 10.48550/arxiv.1208.1131 · pith_short_12: CLIKZ3DM6GLT · pith_short_16: CLIKZ3DM6GLTIRI5 · pith_short_8: CLIKZ3DM

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/CLIKZ3DM6GLTIRI5HKOR5ARAAX \
  | 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: 12d0acec6cf19734451d3a9d1e822005cd939e871068de2fba57c876560d8234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bdd2c263cf24bbe0244e00771af92052decf50581175089427da7c30df5bcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-06T11:07:49Z",
    "title_canon_sha256": "c83c21f3e2954b32cf4763de456d69c78bcec4b66d561638e8aab06cad199836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1131",
    "kind": "arxiv",
    "version": 1
  }
}