Pith Number

pith:ZMQSXA4X

pith:2013:ZMQSXA4X5WAI3FTONU3MAJC5L5

not attested not anchored not stored refs pending

Reductivity of the Lie algebra of a bilinear form

Fernando Szechtman, Martin Chaktoura, S. Ruhallah Ahmadi

arxiv:1308.4617 v1 · 2013-08-21 · 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{ZMQSXA4X5WAI3FTONU3MAJC5L5}

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	2026-05-18T03:15:21.518826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb212b8397ed808d966e6d36c0245d5f472e6389a052ce053fefafd71f2291f8

Aliases

arxiv: 1308.4617 · arxiv_version: 1308.4617v1 · doi: 10.48550/arxiv.1308.4617 · pith_short_12: ZMQSXA4X5WAI · pith_short_16: ZMQSXA4X5WAI3FTO · pith_short_8: ZMQSXA4X

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/ZMQSXA4X5WAI3FTONU3MAJC5L5 \
  | 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: cb212b8397ed808d966e6d36c0245d5f472e6389a052ce053fefafd71f2291f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b5cbacb2dfb093796d0e7a14495e0510dac1187da493f2fc1d791ed07a8f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-21T15:43:09Z",
    "title_canon_sha256": "d75b7b33297ae51d2a247762b9d1bda8e95a4529d2d05e45d70488cad6593e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4617",
    "kind": "arxiv",
    "version": 1
  }
}