Pith Number

pith:ZK4CWQMQ

pith:2018:ZK4CWQMQEUYBEBPA5ACFIFAQAC

not attested not anchored not stored refs pending

On abelian group actions with TNI-centralizers

G\"ulin Ercan, \.Ismail \c{S}. G\"ulo\u{g}lu

arxiv:1807.08342 v1 · 2018-07-22 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK4CWQMQEUYBEBPA5ACFIFAQAC}

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	2026-05-18T00:10:08.346267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab82b419025301205e0e80454141000975cead04a64242299b0745d852f44c8

Aliases

arxiv: 1807.08342 · arxiv_version: 1807.08342v1 · doi: 10.48550/arxiv.1807.08342 · pith_short_12: ZK4CWQMQEUYB · pith_short_16: ZK4CWQMQEUYBEBPA · pith_short_8: ZK4CWQMQ

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/ZK4CWQMQEUYBEBPA5ACFIFAQAC \
  | 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: cab82b419025301205e0e80454141000975cead04a64242299b0745d852f44c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293f3084441ef6705cd73f863cdda4a2c3a3474b7d8c05e244ac51f5f0e96c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-22T18:43:08Z",
    "title_canon_sha256": "6cebefec8bf6fa21b4458dae32ffaf18ad1a33e9c90f2f259851310248ba438a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08342",
    "kind": "arxiv",
    "version": 1
  }
}