Pith Number

pith:IBMSMP6Q

pith:2012:IBMSMP6Q4BQMGMENIJHCN4QQFJ

not attested not anchored not stored refs pending

A one--parameter family of polynomials with Galois group M24 over Q(t)

Peter Mueller

arxiv:1204.1328 v1 · 2012-04-05 · 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{IBMSMP6Q4BQMGMENIJHCN4QQFJ}

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	2026-05-18T03:58:26.927125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4059263fd0e060c3308d424e26f2102a5352ed7ec51cc2b326ce36094a9e695a

Aliases

arxiv: 1204.1328 · arxiv_version: 1204.1328v1 · doi: 10.48550/arxiv.1204.1328 · pith_short_12: IBMSMP6Q4BQM · pith_short_16: IBMSMP6Q4BQMGMEN · pith_short_8: IBMSMP6Q

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/IBMSMP6Q4BQMGMENIJHCN4QQFJ \
  | 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: 4059263fd0e060c3308d424e26f2102a5352ed7ec51cc2b326ce36094a9e695a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c261c26c9336dd822d576ea433373b6330e8ab52ba304dea3b1944335c08c10",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-05T19:49:12Z",
    "title_canon_sha256": "ef1bd7e08aba1caeffeeb7869616fcbb61c8940ff85f64b945a1ee1aa38a9748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1328",
    "kind": "arxiv",
    "version": 1
  }
}