Pith Number

pith:GMBL44E4

pith:2011:GMBL44E4NGLSIMVJFGDVWTJFX4

not attested not anchored not stored refs pending

The hyperdeterminant of 3 x 3 x 2 arrays, and the simplest invariant of 4 x 4 x 2 arrays

Murray R. Bremner

arxiv:1111.6120 v1 · 2011-11-25 · math.RT · 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{GMBL44E4NGLSIMVJFGDVWTJFX4}

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	2026-05-18T04:07:31.782015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3302be709c69972432a929875b4d25bf13ec09e9c911e564526b1b4678c5bab1

Aliases

arxiv: 1111.6120 · arxiv_version: 1111.6120v1 · doi: 10.48550/arxiv.1111.6120 · pith_short_12: GMBL44E4NGLS · pith_short_16: GMBL44E4NGLSIMVJ · pith_short_8: GMBL44E4

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/GMBL44E4NGLSIMVJFGDVWTJFX4 \
  | 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: 3302be709c69972432a929875b4d25bf13ec09e9c911e564526b1b4678c5bab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4559784600e31f2bfd5f4769f65c968799dc72fb12f996ea652b132ddfa73c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-25T22:22:23Z",
    "title_canon_sha256": "be59a81c45b0d8e55f41063e9e8dd9047e40767f7b69a465f5f853785f202177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6120",
    "kind": "arxiv",
    "version": 1
  }
}