Pith Number

pith:QJADAFBT

pith:2026:QJADAFBTHGEPWZJ2FTDAWJU7SR

not attested not anchored not stored refs pending

Extensions of Centrally Essential Rings

Askar Tuganbaev, Oleg Lyubimtsev

arxiv:2606.04747 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{QJADAFBTHGEPWZJ2FTDAWJU7SR}

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	2026-06-04T01:09:28.330603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82403014333988fb653a2cc60b269f9466e5f2c5efd6769b20689a3905c4628c

Aliases

arxiv: 2606.04747 · arxiv_version: 2606.04747v1 · doi: 10.48550/arxiv.2606.04747 · pith_short_12: QJADAFBTHGEP · pith_short_16: QJADAFBTHGEPWZJ2 · pith_short_8: QJADAFBT

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/QJADAFBTHGEPWZJ2FTDAWJU7SR \
  | 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: 82403014333988fb653a2cc60b269f9466e5f2c5efd6769b20689a3905c4628c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6612d0a8b07451296ae1ab907c3ad68687e462bd3f700d1f3b70eb40a31aa5ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-03T11:28:43Z",
    "title_canon_sha256": "0dd561b8bd21f2ce9b4cef47198434e07c23117ea60f74f1eef4322995dd7eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04747",
    "kind": "arxiv",
    "version": 1
  }
}