Pith Number

pith:T4JYXE2A

pith:2017:T4JYXE2ACOCWNTVEGBHTDPMCWX

not attested not anchored not stored refs pending

Automorphism-invariant non-singular rings and modules

Askar Tuganbaev

arxiv:1701.07116 v2 · 2017-01-25 · 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{T4JYXE2ACOCWNTVEGBHTDPMCWX}

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	2026-05-18T00:46:07.652173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f138b9340138566cea4304f31bd82b5d26f9e0788370e5fdd97ccd362981747

Aliases

arxiv: 1701.07116 · arxiv_version: 1701.07116v2 · doi: 10.48550/arxiv.1701.07116 · pith_short_12: T4JYXE2ACOCW · pith_short_16: T4JYXE2ACOCWNTVE · pith_short_8: T4JYXE2A

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/T4JYXE2ACOCWNTVEGBHTDPMCWX \
  | 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: 9f138b9340138566cea4304f31bd82b5d26f9e0788370e5fdd97ccd362981747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e3c91cf816134b879a2d1cbda35d7bad41d5e745e2d88b18a668800bcee155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-25T00:39:11Z",
    "title_canon_sha256": "14929a8b7138f20fe1fa88b8d7c3f32019e4ee0d6ab0395a6c15e87ca8f36ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07116",
    "kind": "arxiv",
    "version": 2
  }
}