Pith Number

pith:P7LTTG4S

pith:2016:P7LTTG4SQW36ZZESA6UNXRYWLK

not attested not anchored not stored refs pending

Truncated Product Representations for $L$-Functions in the Hyperelliptic Ensemble

J.C. Andrade, J.P. Keating, S.M. Gonek

arxiv:1609.05324 v1 · 2016-09-17 · 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{P7LTTG4SQW36ZZESA6UNXRYWLK}

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	2026-05-18T00:23:40.585725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd7399b9285b7ece49207a8dbc7165aaad6aae7694c22456907406638b3bc70

Aliases

arxiv: 1609.05324 · arxiv_version: 1609.05324v1 · doi: 10.48550/arxiv.1609.05324 · pith_short_12: P7LTTG4SQW36 · pith_short_16: P7LTTG4SQW36ZZES · pith_short_8: P7LTTG4S

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/P7LTTG4SQW36ZZESA6UNXRYWLK \
  | 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: 7fd7399b9285b7ece49207a8dbc7165aaad6aae7694c22456907406638b3bc70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9915d22b3baf546aca7f794cee21cb0e2c249e30ba2f8ff7b0ec8d29d578c739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-17T12:21:27Z",
    "title_canon_sha256": "44e072b8a8dc3be964d91308e31b7ec5e7471f2a8ea26db4c6ec36f45a0d2596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05324",
    "kind": "arxiv",
    "version": 1
  }
}