Pith Number

pith:ILJ4OWPL

pith:2015:ILJ4OWPLVJVUQOVIUL3DM2HKAP

not attested not anchored not stored refs pending

On power sums of matrices over a finite commutative ring

A.M. Oller-Marc\'en, I.F. R\'ua, J.M. Grau, P. Fortuny

arxiv:1505.08132 v1 · 2015-05-29 · 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{ILJ4OWPLVJVUQOVIUL3DM2HKAP}

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	2026-05-18T01:59:59.597179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d3c759ebaa6b483aa8a2f63668ea03f76401700f3ce252510f154d40770b2a

Aliases

arxiv: 1505.08132 · arxiv_version: 1505.08132v1 · doi: 10.48550/arxiv.1505.08132 · pith_short_12: ILJ4OWPLVJVU · pith_short_16: ILJ4OWPLVJVUQOVI · pith_short_8: ILJ4OWPL

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/ILJ4OWPLVJVUQOVIUL3DM2HKAP \
  | 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: 42d3c759ebaa6b483aa8a2f63668ea03f76401700f3ce252510f154d40770b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6999897d9b3b2f5ec2334bd8ba8f795f6586f709c67e43c47c6ece4d4ae3498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-05-29T18:13:14Z",
    "title_canon_sha256": "632062d09a3c14c5eb82fbdffc8d38552c89209b163508aeffb5246ae781071e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08132",
    "kind": "arxiv",
    "version": 1
  }
}