Pith Number

pith:4F7IPMXY

pith:2012:4F7IPMXYM7375ZCB65P5KJAAGK

not attested not anchored not stored refs pending

Non-Commutative Representations of Families of k^2 Commutative Polynomials in 2k^2 Commuting Variables

Caleb Meier, Harry Dym, J. W. Helton

arxiv:1212.0891 v1 · 2012-12-04 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F7IPMXYM7375ZCB65P5KJAAGK}

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	2026-05-18T03:39:07.029868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17e87b2f867f7fee441f75fd5240032937bcbcf4e5642ef85572a671e38fc8d

Aliases

arxiv: 1212.0891 · arxiv_version: 1212.0891v1 · doi: 10.48550/arxiv.1212.0891 · pith_short_12: 4F7IPMXYM737 · pith_short_16: 4F7IPMXYM7375ZCB · pith_short_8: 4F7IPMXY

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/4F7IPMXYM7375ZCB65P5KJAAGK \
  | 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: e17e87b2f867f7fee441f75fd5240032937bcbcf4e5642ef85572a671e38fc8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ece5426c24af68119d70808ad10100fe274bc778f01b38b966719491ba4f8e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-04T22:06:31Z",
    "title_canon_sha256": "517e03c5ab66afc8ced8c85b20339bf5431f96787cd0204b39ea6ac21170828d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0891",
    "kind": "arxiv",
    "version": 1
  }
}