Pith Number

pith:HBFNSHM6

pith:2013:HBFNSHM646BRRPUIU24HZXQJ4L

not attested not anchored not stored refs pending

Divisibility of Trinomials by Irreducible Polynomials over F2

Ryul Kim, Wolfram Koepf

arxiv:1311.1366 v2 · 2013-11-06 · math.RA · 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{HBFNSHM646BRRPUIU24HZXQJ4L}

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	2026-05-18T03:00:49.111750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384ad91d9ee78318be88a6b87cde09e2eac64be8e46fd84f89723319eb4430c5

Aliases

arxiv: 1311.1366 · arxiv_version: 1311.1366v2 · doi: 10.48550/arxiv.1311.1366 · pith_short_12: HBFNSHM646BR · pith_short_16: HBFNSHM646BRRPUI · pith_short_8: HBFNSHM6

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/HBFNSHM646BRRPUIU24HZXQJ4L \
  | 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: 384ad91d9ee78318be88a6b87cde09e2eac64be8e46fd84f89723319eb4430c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a7b889823df6fe4634e0db89cc59c2807314d1d6a6394dcb5c0e9f5b6f7345",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-06T12:17:45Z",
    "title_canon_sha256": "aa2dbc56e574d0a41e2ce4ffe93ab51a4a123237fe8f646d6efc04f3f4c24ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1366",
    "kind": "arxiv",
    "version": 2
  }
}