Pith Number

pith:HT27L7KU

pith:2014:HT27L7KUHVUT2PKC2OB5LEWZTY

not attested not anchored not stored refs pending

The group of unimodular automorphisms of $\mathbb{C}^2$ is hopfian

Alimjon Eshmatov, Farkhod Eshmatov

arxiv:1402.1101 v1 · 2014-02-05 · 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{HT27L7KUHVUT2PKC2OB5LEWZTY}

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	2026-05-18T03:00:01.701632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf5f5fd543d693d3d42d383d592d99e296d2e81b7eed6794ee4abcf407b827d

Aliases

arxiv: 1402.1101 · arxiv_version: 1402.1101v1 · doi: 10.48550/arxiv.1402.1101 · pith_short_12: HT27L7KUHVUT · pith_short_16: HT27L7KUHVUT2PKC · pith_short_8: HT27L7KU

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/HT27L7KUHVUT2PKC2OB5LEWZTY \
  | 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: 3cf5f5fd543d693d3d42d383d592d99e296d2e81b7eed6794ee4abcf407b827d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a018e84c85dda457fadb5c79a89a7b85eec34be2dec33bf3d765bffbfaea618",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-05T17:46:46Z",
    "title_canon_sha256": "e46d39affc615d5b728b05e9540100ab4b75e5395f3caab76d2cc9286cf24a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1101",
    "kind": "arxiv",
    "version": 1
  }
}