Pith Number

pith:DXNIBLEL

pith:2013:DXNIBLEL343MTXQIJ2OKLXKNO2

not attested not anchored not stored refs pending

Lifting Automorphisms of Quotients by Central Subgroups

Andrew Shallue, Ben Kane

arxiv:1304.4632 v1 · 2013-04-16 · 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{DXNIBLEL343MTXQIJ2OKLXKNO2}

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	2026-05-18T03:27:44.147423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dda80ac8bdf36c9de084e9ca5dd4d76b280cf890a8afee563dea32cdf0531d5

Aliases

arxiv: 1304.4632 · arxiv_version: 1304.4632v1 · doi: 10.48550/arxiv.1304.4632 · pith_short_12: DXNIBLEL343M · pith_short_16: DXNIBLEL343MTXQI · pith_short_8: DXNIBLEL

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/DXNIBLEL343MTXQIJ2OKLXKNO2 \
  | 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: 1dda80ac8bdf36c9de084e9ca5dd4d76b280cf890a8afee563dea32cdf0531d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded3762ad4053e70ed47a5bad6143adcb5511260ccf360e3392e61f2caddd916",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-16T22:05:52Z",
    "title_canon_sha256": "ad595e4b04cd48b39ce319824680b35b2e23867889051cce6fa281e91dece0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4632",
    "kind": "arxiv",
    "version": 1
  }
}