Pith Number

pith:WR5L6SWU

pith:2016:WR5L6SWUKKRBUV5QN4YSQSNFCO

not attested not anchored not stored refs pending

Commutation principles in Euclidean Jordan algebras and normal decomposition systems

Juyoung Jeong, M. Seetharama Gowda

arxiv:1604.04561 v1 · 2016-04-15 · math.RA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR5L6SWUKKRBUV5QN4YSQSNFCO}

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	2026-05-18T01:17:01.860119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47abf4ad452a21a57b06f312849a5138dc3442d4bf9c9f6fa58a23439477ebb

Aliases

arxiv: 1604.04561 · arxiv_version: 1604.04561v1 · doi: 10.48550/arxiv.1604.04561 · pith_short_12: WR5L6SWUKKRB · pith_short_16: WR5L6SWUKKRBUV5Q · pith_short_8: WR5L6SWU

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/WR5L6SWUKKRBUV5QN4YSQSNFCO \
  | 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: b47abf4ad452a21a57b06f312849a5138dc3442d4bf9c9f6fa58a23439477ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4c74d36eb20551c03f7ffd7951341d40a118fe0183055ac260fbd4fb7a41fd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-15T16:37:38Z",
    "title_canon_sha256": "0518644a4ed00dadff0e96a9fc88870e02ca68ef2554a779b1aeff75608a6071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04561",
    "kind": "arxiv",
    "version": 1
  }
}