Pith Number

pith:4N32VDI5

pith:2013:4N32VDI5OYRIHGSRVTSSQTZAY5

not attested not anchored not stored refs pending

The Number of Irreducible Polynomials over Finite Fields of Characteristic 2 with Given Trace and Subtrace

Chang-Il Rim, Gum-Chol Myong, Ryul Kim, Won-Ho Ri

arxiv:1304.0521 v4 · 2013-04-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N32VDI5OYRIHGSRVTSSQTZAY5}

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	2026-05-18T02:48:43.584604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e377aa8d1d7622839a51ace5284f20c75775b3805ff91823dc18bd55c98ad91b

Aliases

arxiv: 1304.0521 · arxiv_version: 1304.0521v4 · doi: 10.48550/arxiv.1304.0521 · pith_short_12: 4N32VDI5OYRI · pith_short_16: 4N32VDI5OYRIHGSR · pith_short_8: 4N32VDI5

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/4N32VDI5OYRIHGSRVTSSQTZAY5 \
  | 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: e377aa8d1d7622839a51ace5284f20c75775b3805ff91823dc18bd55c98ad91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365391c3c4e54c36067cc1b597d2f016f315199d8574f853143e5011001b6c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-02T03:33:42Z",
    "title_canon_sha256": "d8394c632e86a70dd33ea3c18f410ef657a73c6e3d2eede14361e22e10c678e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0521",
    "kind": "arxiv",
    "version": 4
  }
}