Pith Number

pith:NUOTMUPC

pith:2017:NUOTMUPCOAHIOCJFEZMQPAK4PK

not attested not anchored not stored refs pending

On large gaps between zeros of $L$-functions from branches

Andr\'e LeClair

arxiv:1704.05834 v3 · 2017-04-19 · math.NT · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUOTMUPCOAHIOCJFEZMQPAK4PK}

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	2026-05-18T00:43:39.158191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1d3651e2700e870925265907815c7ab81fc50f3d669f9cb3d4a1d6cb3cfa53

Aliases

arxiv: 1704.05834 · arxiv_version: 1704.05834v3 · doi: 10.48550/arxiv.1704.05834 · pith_short_12: NUOTMUPCOAHI · pith_short_16: NUOTMUPCOAHIOCJF · pith_short_8: NUOTMUPC

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/NUOTMUPCOAHIOCJFEZMQPAK4PK \
  | 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: 6d1d3651e2700e870925265907815c7ab81fc50f3d669f9cb3d4a1d6cb3cfa53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c759ef586e03e1c4538684de72c3ba3704f54fd80f1261e75c22937f64e6499",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-19T17:43:02Z",
    "title_canon_sha256": "51ff9ee92c2f8283dcc3bf92b9dc15995ca192b1dcc1de8b5350351df854c8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05834",
    "kind": "arxiv",
    "version": 3
  }
}