Pith Number

pith:NE2GEU3U

pith:2011:NE2GEU3UIVNVFPJENE5ID4CLH5

not attested not anchored not stored refs pending

The Geometric Invariants of Group Extensions Part I: Finite Extensions

Nic Koban, Peter Wong

arxiv:1103.0313 v3 · 2011-03-01 · 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{NE2GEU3UIVNVFPJENE5ID4CLH5}

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	2026-05-18T04:05:57.772770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6934625374455b52bd24693a81f04b3f6ddfa7e3574cdf401be5a908f8558b38

Aliases

arxiv: 1103.0313 · arxiv_version: 1103.0313v3 · doi: 10.48550/arxiv.1103.0313 · pith_short_12: NE2GEU3UIVNV · pith_short_16: NE2GEU3UIVNVFPJE · pith_short_8: NE2GEU3U

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/NE2GEU3UIVNVFPJENE5ID4CLH5 \
  | 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: 6934625374455b52bd24693a81f04b3f6ddfa7e3574cdf401be5a908f8558b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8c0dde56d584a9e29d7fd4e01b5a2da89428f1970530cd0cdf8f00aeafd3d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-01T23:27:57Z",
    "title_canon_sha256": "182ace699349ae0f0466ae3cc2a8aaa5b037077450ee6c4953415daa72a063cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0313",
    "kind": "arxiv",
    "version": 3
  }
}