Pith Number

pith:SIVJHHMO

pith:2009:SIVJHHMO2YMJHCX32RPHYCJZZ7

not attested not anchored not stored refs pending

Fast construction of irreducible polynomials over finite fields

Jean-Marc Couveignes, Reynald Lercier

arxiv:0905.1642 v3 · 2009-05-11 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIVJHHMO2YMJHCX32RPHYCJZZ7}

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	2026-05-18T04:08:04.174646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922a939d8ed618938afbd45e7c0939cfc585c34a1bf0c27c7afc4a8b7e8e0cd1

Aliases

arxiv: 0905.1642 · arxiv_version: 0905.1642v3 · doi: 10.48550/arxiv.0905.1642 · pith_short_12: SIVJHHMO2YMJ · pith_short_16: SIVJHHMO2YMJHCX3 · pith_short_8: SIVJHHMO

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/SIVJHHMO2YMJHCX32RPHYCJZZ7 \
  | 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: 922a939d8ed618938afbd45e7c0939cfc585c34a1bf0c27c7afc4a8b7e8e0cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a877150e0c74be8e6a196e9d31b6a96636cace64b2b1f23cc6313d0aa9ade7d7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-11T15:44:25Z",
    "title_canon_sha256": "aa13a1b07fc34ca9cc6b8109ad81900d94c24b7eb9dea7d43993515737c7ebea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1642",
    "kind": "arxiv",
    "version": 3
  }
}