Pith Number

pith:ZVKNNOJC

pith:2005:ZVKNNOJCVWMOL25V4OIQ5YY4XA

not attested not anchored not stored refs pending

Low lying zeros of L-functions with orthogonal symmetry

C. P. Hughes, Steven J. Miller

arxiv:math/0507450 v3 · 2005-07-21 · 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{ZVKNNOJCVWMOL25V4OIQ5YY4XA}

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	2026-05-18T04:35:55.522642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd54d6b922ad98e5ebb5e3910ee31cb83c4bada19c43ced24c0fd9f68b6053f8

Aliases

arxiv: math/0507450 · arxiv_version: math/0507450v3 · doi: 10.48550/arxiv.math/0507450 · pith_short_12: ZVKNNOJCVWMO · pith_short_16: ZVKNNOJCVWMOL25V · pith_short_8: ZVKNNOJC

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/ZVKNNOJCVWMOL25V4OIQ5YY4XA \
  | 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: cd54d6b922ad98e5ebb5e3910ee31cb83c4bada19c43ced24c0fd9f68b6053f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0f74597fb9da8f5753cd73ee52b477e23c13d297d9ac464b2c4603163b004e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-07-21T19:38:02Z",
    "title_canon_sha256": "b953f4ec78df7d860a02b143ddfcbcf09689c186f95d0db927ceef6856b41da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507450",
    "kind": "arxiv",
    "version": 3
  }
}