Pith Number

pith:QE3BZ2SE

pith:2012:QE3BZ2SE2IOI6CKIQLHSMWOJDM

not attested not anchored not stored refs pending

The Geometric Invariants of Group Extensions

Nic Koban, Peter Wong

arxiv:1206.1829 v1 · 2012-06-08 · 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{QE3BZ2SE2IOI6CKIQLHSMWOJDM}

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	2026-05-18T03:53:55.311399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81361cea44d21c8f094882cf2659c91b2945a8af94f785c5b3ef57e57bd4cbab

Aliases

arxiv: 1206.1829 · arxiv_version: 1206.1829v1 · doi: 10.48550/arxiv.1206.1829 · pith_short_12: QE3BZ2SE2IOI · pith_short_16: QE3BZ2SE2IOI6CKI · pith_short_8: QE3BZ2SE

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/QE3BZ2SE2IOI6CKIQLHSMWOJDM \
  | 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: 81361cea44d21c8f094882cf2659c91b2945a8af94f785c5b3ef57e57bd4cbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f682017db7dae6a520964ecf128a4bca2d18df2444df87c47aa304195bf8f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-08T18:11:10Z",
    "title_canon_sha256": "175350b295e3273a7ee5db6ab590d7e411d059100db1ed47105b968359c69ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1829",
    "kind": "arxiv",
    "version": 1
  }
}