Pith Number

pith:UCKCRH5G

pith:2015:UCKCRH5GTKQTHAD4T46N74JRVR

not attested not anchored not stored refs pending

A note on commuting graphs of matrix rings over fields

C. Miguel

arxiv:1501.01030 v3 · 2015-01-05 · 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{UCKCRH5GTKQTHAD4T46N74JRVR}

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	2026-05-18T02:25:55.620434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a094289fa69aa133807c9f3cdff131ac52aaa2a523e90924a398dc56fff47fa8

Aliases

arxiv: 1501.01030 · arxiv_version: 1501.01030v3 · doi: 10.48550/arxiv.1501.01030 · pith_short_12: UCKCRH5GTKQT · pith_short_16: UCKCRH5GTKQTHAD4 · pith_short_8: UCKCRH5G

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/UCKCRH5GTKQTHAD4T46N74JRVR \
  | 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: a094289fa69aa133807c9f3cdff131ac52aaa2a523e90924a398dc56fff47fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7a81502a355d4d768cdaf214962fc0ef5a3c36da26f225ee41f6c8f7ddded1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-05T22:46:50Z",
    "title_canon_sha256": "8946f3f8772344eb295eecebdaefff80ce061a8c421330908067f33a018c2237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01030",
    "kind": "arxiv",
    "version": 3
  }
}