Pith Number

pith:YCYJOL3Q

pith:2018:YCYJOL3QVTQ4R6TXYKR5XQG66T

not attested not anchored not stored refs pending

Rings which are Essential over their Centers, II

Askar Tuganbaev, Victor Markov

arxiv:1801.00653 v1 · 2018-01-02 · 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{YCYJOL3QVTQ4R6TXYKR5XQG66T}

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	2026-05-18T00:26:52.726373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b0972f70ace1c8fa77c2a3dbc0def4d57095967d163ee832d703e0ccdb8a81

Aliases

arxiv: 1801.00653 · arxiv_version: 1801.00653v1 · doi: 10.48550/arxiv.1801.00653 · pith_short_12: YCYJOL3QVTQ4 · pith_short_16: YCYJOL3QVTQ4R6TX · pith_short_8: YCYJOL3Q

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/YCYJOL3QVTQ4R6TXYKR5XQG66T \
  | 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: c0b0972f70ace1c8fa77c2a3dbc0def4d57095967d163ee832d703e0ccdb8a81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a234ae07f55007ca9c1eea422e3a7470936e5950644746822efc8cf25abfea60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-02T14:12:57Z",
    "title_canon_sha256": "c5e0b5037d8dffc22349b94b9012861ed377b650a2ca58aa6ec5816682afc069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00653",
    "kind": "arxiv",
    "version": 1
  }
}