Pith Number

pith:VUYPA7GA

pith:2009:VUYPA7GAPFVGF7TZRT6MFJP3M2

not attested not anchored not stored refs pending

An Orthogonal Test of the $L$-functions Ratios Conjecture, II

David Montague, Steven J. Miller

arxiv:0911.1830 v1 · 2009-11-10 · 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{VUYPA7GAPFVGF7TZRT6MFJP3M2}

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	2026-05-18T04:34:54.343131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad30f07cc0796a62fe798cfcc2a5fb66b269a7ac711dded94275c16f11486ce2

Aliases

arxiv: 0911.1830 · arxiv_version: 0911.1830v1 · doi: 10.48550/arxiv.0911.1830 · pith_short_12: VUYPA7GAPFVG · pith_short_16: VUYPA7GAPFVGF7TZ · pith_short_8: VUYPA7GA

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/VUYPA7GAPFVGF7TZRT6MFJP3M2 \
  | 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: ad30f07cc0796a62fe798cfcc2a5fb66b269a7ac711dded94275c16f11486ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23396335c5908a5f0dc7deeb8c4581ce3221d85d21fab7a6b7d75855da68c54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-10T05:10:18Z",
    "title_canon_sha256": "716d2d1f6513c8382ea284975f40ced89737128d334d0a3c8032251a122d8b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1830",
    "kind": "arxiv",
    "version": 1
  }
}