Pith Number

pith:MGEWHMMJ

pith:2007:MGEWHMMJDS4JZLERWSBAR2SF7R

not attested not anchored not stored refs pending

Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm

Marko Moisio

arxiv:0706.2112 v5 · 2007-06-14 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGEWHMMJDS4JZLERWSBAR2SF7R}

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	2026-05-18T02:16:30.126963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618963b1891cb89cac91b48208ea45fc620b6b8abedb5504ba235cab5ecd83a0

Aliases

arxiv: 0706.2112 · arxiv_version: 0706.2112v5 · doi: 10.48550/arxiv.0706.2112 · pith_short_12: MGEWHMMJDS4J · pith_short_16: MGEWHMMJDS4JZLER · pith_short_8: MGEWHMMJ

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/MGEWHMMJDS4JZLERWSBAR2SF7R \
  | 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: 618963b1891cb89cac91b48208ea45fc620b6b8abedb5504ba235cab5ecd83a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d405e5cf15c6302d85797b75776224e8f407caf1de68bea0656b5a147caecb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-06-14T13:02:04Z",
    "title_canon_sha256": "c6b0ce644fc8a5220e79d228f6a8f132f6fe2e0827b749f53bd81f0c335b9ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2112",
    "kind": "arxiv",
    "version": 5
  }
}