Pith Number

pith:GKP727JC

pith:2018:GKP727JCT3OU4X2GUB6IL3S63R

not attested not anchored not stored refs pending

Centrally Essential Group Algebras

Askar Tuganbaev, Victor Markov

arxiv:1801.00951 v1 · 2018-01-03 · 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{GKP727JCT3OU4X2GUB6IL3S63R}

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	2026-05-18T00:26:48.302511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329ffd7d229edd4e5f46a07c85ee5edc5ac1b6783e902ba64c4c4e3415b0393b

Aliases

arxiv: 1801.00951 · arxiv_version: 1801.00951v1 · doi: 10.48550/arxiv.1801.00951 · pith_short_12: GKP727JCT3OU · pith_short_16: GKP727JCT3OU4X2G · pith_short_8: GKP727JC

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/GKP727JCT3OU4X2GUB6IL3S63R \
  | 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: 329ffd7d229edd4e5f46a07c85ee5edc5ac1b6783e902ba64c4c4e3415b0393b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950f3f90416df6633fed77690880a8068a8ada13f105f147ec7d8f6dfd0bfef8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-03T10:50:27Z",
    "title_canon_sha256": "0b141f5d276ea65b7bbcec5c2c48a1dae807cd6b830f8e85531080ebee3bf0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00951",
    "kind": "arxiv",
    "version": 1
  }
}