Pith Number

pith:SBGC5PRL

pith:2015:SBGC5PRLX7AIDJVRC6L32X6LFU

not attested not anchored not stored refs pending

The radius in matrix algebras--Examples and remarks

Moshe Goldberg

arxiv:1511.02732 v1 · 2015-11-09 · 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{SBGC5PRLX7AIDJVRC6L32X6LFU}

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	2026-05-18T01:27:29.495106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904c2ebe2bbfc081a6b11797bd5fcb2d1b7ed8fa367f9b169b45b5a552c2c516

Aliases

arxiv: 1511.02732 · arxiv_version: 1511.02732v1 · doi: 10.48550/arxiv.1511.02732 · pith_short_12: SBGC5PRLX7AI · pith_short_16: SBGC5PRLX7AIDJVR · pith_short_8: SBGC5PRL

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/SBGC5PRLX7AIDJVRC6L32X6LFU \
  | 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: 904c2ebe2bbfc081a6b11797bd5fcb2d1b7ed8fa367f9b169b45b5a552c2c516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d43f72b3b5cecb97a422cb4de7820bc004d2e951c1ad20b300668de60b961e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-09T16:04:58Z",
    "title_canon_sha256": "8b188eff4806b4472a26cba3027d65891e1ab960b3c4d3368f30d3fdc074ab0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02732",
    "kind": "arxiv",
    "version": 1
  }
}