Pith Number

pith:XEDLGVSH

pith:2015:XEDLGVSH6TM3LIDZK5ZQAD323E

not attested not anchored not stored refs pending

On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring

C. Miguel

arxiv:1510.07304 v1 · 2015-10-25 · 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{XEDLGVSH6TM3LIDZK5ZQAD323E}

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	2026-05-18T01:01:00.954597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b906b35647f4d9b5a0795773000f7ad93d9f7e6eeecd73cfc24a456b7297c2ce

Aliases

arxiv: 1510.07304 · arxiv_version: 1510.07304v1 · doi: 10.48550/arxiv.1510.07304 · pith_short_12: XEDLGVSH6TM3 · pith_short_16: XEDLGVSH6TM3LIDZ · pith_short_8: XEDLGVSH

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/XEDLGVSH6TM3LIDZK5ZQAD323E \
  | 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: b906b35647f4d9b5a0795773000f7ad93d9f7e6eeecd73cfc24a456b7297c2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb01b7835e4e20717ffa9a12d2c1aa481c3e173b69752727ceafd3ade75cdcc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-25T21:05:01Z",
    "title_canon_sha256": "92919ab5bd671a0db6ef4e41b949fd8751c796b2624ab72cad9ba763cabc1b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07304",
    "kind": "arxiv",
    "version": 1
  }
}