Pith Number

pith:IMNATUQN

pith:2018:IMNATUQNFBGQVAUEX66MF2RK67

not attested not anchored not stored refs pending

On some products of commutators in an associative ring

Alexei Krasilnikov, Galina Deryabina

arxiv:1812.03585 v1 · 2018-12-10 · 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{IMNATUQNFBGQVAUEX66MF2RK67}

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	2026-05-17T23:49:16.921988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431a09d20d284d0a8284bfbcc2ea2af7ee16c249a0777ceb1eb6f7c27c5c4093

Aliases

arxiv: 1812.03585 · arxiv_version: 1812.03585v1 · doi: 10.48550/arxiv.1812.03585 · pith_short_12: IMNATUQNFBGQ · pith_short_16: IMNATUQNFBGQVAUE · pith_short_8: IMNATUQN

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/IMNATUQNFBGQVAUEX66MF2RK67 \
  | 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: 431a09d20d284d0a8284bfbcc2ea2af7ee16c249a0777ceb1eb6f7c27c5c4093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7943d9a58fcbc296f778365028057f365361edcce70bc8ffaaebd9b37743914f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-12-10T00:50:25Z",
    "title_canon_sha256": "8e5bcf21b7d176d7b5ba0648cb3f9748cb935049d19fa88f80677f489691be18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03585",
    "kind": "arxiv",
    "version": 1
  }
}