Pith Number

pith:LFCT22CB

pith:2013:LFCT22CB6S3QU3QBU6JB7JD7KC

not attested not anchored not stored refs pending

Low-lying zeroes of Maass form $L$-functions

Levent Alpoge, Steven J. Miller

arxiv:1301.5702 v2 · 2013-01-24 · 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{LFCT22CB6S3QU3QBU6JB7JD7KC}

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	2026-05-18T02:54:56.382387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59453d6841f4b70a6e01a7921fa47f50813e36c30aedabd09d1bef567a1d7561

Aliases

arxiv: 1301.5702 · arxiv_version: 1301.5702v2 · doi: 10.48550/arxiv.1301.5702 · pith_short_12: LFCT22CB6S3Q · pith_short_16: LFCT22CB6S3QU3QB · pith_short_8: LFCT22CB

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/LFCT22CB6S3QU3QBU6JB7JD7KC \
  | 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: 59453d6841f4b70a6e01a7921fa47f50813e36c30aedabd09d1bef567a1d7561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96dca6b1b7d1fbc88d658e785a41a5ee66b87a62125d34c1e15bfadc303c627e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-24T05:24:53Z",
    "title_canon_sha256": "e22a708325eb343f72626c713c22bd1a482b7526f01542106e4ff5b947cd93a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5702",
    "kind": "arxiv",
    "version": 2
  }
}