Pith Number

pith:IQCVKO2O

pith:2017:IQCVKO2OD5JI5MUO7LB7P6652H

not attested not anchored not stored refs pending

Rings Which Are Essential over Their Centers

Askar Tuganbaev, Victor Markov

arxiv:1712.02133 v1 · 2017-12-06 · 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{IQCVKO2OD5JI5MUO7LB7P6652H}

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	2026-05-18T00:28:39.099021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4405553b4e1f528eb28efac3f7fbddd1fc620b955c55181e675bf2143bb40edf

Aliases

arxiv: 1712.02133 · arxiv_version: 1712.02133v1 · doi: 10.48550/arxiv.1712.02133 · pith_short_12: IQCVKO2OD5JI · pith_short_16: IQCVKO2OD5JI5MUO · pith_short_8: IQCVKO2O

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/IQCVKO2OD5JI5MUO7LB7P6652H \
  | 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: 4405553b4e1f528eb28efac3f7fbddd1fc620b955c55181e675bf2143bb40edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd077d1607abf29ed73500bdafbfe5d669f9216081838a4a287c1c00c5712e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-12-06T11:22:42Z",
    "title_canon_sha256": "dce996c003b8bf2b11b2616a690228ff86bbb5071ec121bcd0691a97a6d70aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02133",
    "kind": "arxiv",
    "version": 1
  }
}