Pith Number

pith:HSPRX7BA

pith:2014:HSPRX7BAZ27B6GD3LX5BA5J3ZA

not attested not anchored not stored refs pending

On the diameter of the commuting graph of the full matrix ring over the real numbers

Antonio Oller-Marcen, Carmen Tasis, Jose Maria Grau

arxiv:1412.0541 v1 · 2014-12-01 · 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{HSPRX7BAZ27B6GD3LX5BA5J3ZA}

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	2026-05-18T02:32:23.145934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9f1bfc20cebe1f187b5dfa10753bc82051eb1f7ab1c4003ced0e2bb7195fed

Aliases

arxiv: 1412.0541 · arxiv_version: 1412.0541v1 · doi: 10.48550/arxiv.1412.0541 · pith_short_12: HSPRX7BAZ27B · pith_short_16: HSPRX7BAZ27B6GD3 · pith_short_8: HSPRX7BA

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/HSPRX7BAZ27B6GD3LX5BA5J3ZA \
  | 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: 3c9f1bfc20cebe1f187b5dfa10753bc82051eb1f7ab1c4003ced0e2bb7195fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dd457a812c49c9fe87e9a812faebba9a369ec778de491ec19fb81be7541e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-01T16:59:30Z",
    "title_canon_sha256": "7045e7cb7fcb2d9f40939242d46927637c665dd3bec045f9c63a85d4c5d89af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0541",
    "kind": "arxiv",
    "version": 1
  }
}