Pith Number

pith:DRCKPTPK

pith:2014:DRCKPTPK3QYF4KNJ6UNIKL7EOO

not attested not anchored not stored refs pending

On the endomorphism monoids of some groups with abelian automorphism group

Alexander Bors

arxiv:1411.4190 v2 · 2014-11-15 · 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{DRCKPTPK3QYF4KNJ6UNIKL7EOO}

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	2026-05-18T02:32:30.426649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c44a7cdeadc305e29a9f51a852fe4738b9a1e7900b3c5c5ed55de31f2f17643

Aliases

arxiv: 1411.4190 · arxiv_version: 1411.4190v2 · doi: 10.48550/arxiv.1411.4190 · pith_short_12: DRCKPTPK3QYF · pith_short_16: DRCKPTPK3QYF4KNJ · pith_short_8: DRCKPTPK

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/DRCKPTPK3QYF4KNJ6UNIKL7EOO \
  | 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: 1c44a7cdeadc305e29a9f51a852fe4738b9a1e7900b3c5c5ed55de31f2f17643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4159ed5b7ef9f0d98ec266b128b09b1d1e735503a2b4bf1c7d137b4672b342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-15T21:58:26Z",
    "title_canon_sha256": "e80654209bc24674b1b8264c52b03418bdbe1ef04b066a010f093e0b427180dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4190",
    "kind": "arxiv",
    "version": 2
  }
}