Pith Number

pith:KZMUP6MX

pith:2026:KZMUP6MXQYB5IYXU5DGO5UAI2J

not attested not anchored not stored refs pending

On Centrally Essential Subrings of Formal Triangular Matrix Rings

Askar Tuganbaev, Oleg Lyubimtsev

arxiv:2606.04726 v1 · 2026-06-03 · 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{KZMUP6MXQYB5IYXU5DGO5UAI2J}

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	2026-06-04T01:09:26.859168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565947f9978603d462f4e8cceed008d24fe43e67d10ac97dee937501baab6e11

Aliases

arxiv: 2606.04726 · arxiv_version: 2606.04726v1 · doi: 10.48550/arxiv.2606.04726 · pith_short_12: KZMUP6MXQYB5 · pith_short_16: KZMUP6MXQYB5IYXU · pith_short_8: KZMUP6MX

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/KZMUP6MXQYB5IYXU5DGO5UAI2J \
  | 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: 565947f9978603d462f4e8cceed008d24fe43e67d10ac97dee937501baab6e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d2ced809a242aeeb18ae5fb6eb29adbead7b5a7494f5977973650b0ff63e7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-03T11:07:32Z",
    "title_canon_sha256": "035ff042ca56a53c5befca6d88c08483d25a3dd8bb9547e5754a132b736ed1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04726",
    "kind": "arxiv",
    "version": 1
  }
}