Pith Number

pith:GUO3OQUP

pith:2012:GUO3OQUPXFM7SK3FTALEPOITQY

not attested not anchored not stored refs pending

The highest lowest zero of general L-functions

Akio Fujii, David W. Farmer, Hiroyuki Yoshida, J. Brian Conrey, Jonathan Bober, Michael Rubinstein, Sally Koutsoliotas, Stefan Lemurell

arxiv:1211.5996 v2 · 2012-11-26 · 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{GUO3OQUPXFM7SK3FTALEPOITQY}

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	2026-05-18T02:42:52.752398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351db7428fb959f92b65981647b913863165aadce2b5c9478395087a6b89efd9

Aliases

arxiv: 1211.5996 · arxiv_version: 1211.5996v2 · doi: 10.48550/arxiv.1211.5996 · pith_short_12: GUO3OQUPXFM7 · pith_short_16: GUO3OQUPXFM7SK3F · pith_short_8: GUO3OQUP

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/GUO3OQUPXFM7SK3FTALEPOITQY \
  | 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: 351db7428fb959f92b65981647b913863165aadce2b5c9478395087a6b89efd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87688d6fe62c2496ec45e5a16fefe8305b39e6c6711cc4246d248bc8e97527d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-26T15:47:45Z",
    "title_canon_sha256": "2dddd2a20851cbad1ff592883830647833485aec5d1a710531ca266d7cf88454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5996",
    "kind": "arxiv",
    "version": 2
  }
}