Pith Number

pith:BEOO2BM3

pith:2008:BEOO2BM3UGVA3QWA2V6D4E3G7O

not attested not anchored not stored refs pending

An explicit integral polynomial whose splitting field has Galois group W(E_8)

D. Zywina, E. Kowalski, F. Jouve

arxiv:0801.1733 v1 · 2008-01-11 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEOO2BM3UGVA3QWA2V6D4E3G7O}

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	2026-07-04T15:06:46.282412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091ced059ba1aa0dc2c0d57c3e1366fb8ddca08e9badd1ce65f3c59d60b1dc85

Aliases

arxiv: 0801.1733 · arxiv_version: 0801.1733v1 · doi: 10.48550/arxiv.0801.1733 · pith_short_12: BEOO2BM3UGVA · pith_short_16: BEOO2BM3UGVA3QWA · pith_short_8: BEOO2BM3

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/BEOO2BM3UGVA3QWA2V6D4E3G7O \
  | 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: 091ced059ba1aa0dc2c0d57c3e1366fb8ddca08e9badd1ce65f3c59d60b1dc85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de68cb996b29bfc1a5a467179e2da5a532b0d4d6294692478aa4e42805037536",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2008-01-11T08:41:12Z",
    "title_canon_sha256": "bd17660b9da122543b6ff2c53e7a89a5370d590e9cf3dd180da3adc6c44aba00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1733",
    "kind": "arxiv",
    "version": 1
  }
}