Pith Number

pith:SC4IQLCI

pith:2012:SC4IQLCIOQIF7MYHE6DTFSZXVT

not attested not anchored not stored refs pending

Linear and projective boundary of nilpotent groups

Bernhard Kr\"on, Elmar Teufl, J\"org Lehnert, Norbert Seifter

arxiv:1208.5405 v2 · 2012-08-27 · 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{SC4IQLCIOQIF7MYHE6DTFSZXVT}

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	2026-05-18T03:12:48.517472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90b8882c4874105fb307278732cb37acd9a144b2aac9d6e2ee40b67ba3a0161c

Aliases

arxiv: 1208.5405 · arxiv_version: 1208.5405v2 · doi: 10.48550/arxiv.1208.5405 · pith_short_12: SC4IQLCIOQIF · pith_short_16: SC4IQLCIOQIF7MYH · pith_short_8: SC4IQLCI

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/SC4IQLCIOQIF7MYHE6DTFSZXVT \
  | 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: 90b8882c4874105fb307278732cb37acd9a144b2aac9d6e2ee40b67ba3a0161c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3720ed21f9ac5550f107de45191e5f3767fbf84f531920798320cfa2e39fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-27T14:10:55Z",
    "title_canon_sha256": "7824af8fc89b9e9e9c2c7b172538c1917fbd9caa7a3c9fcbe5d252c054385dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5405",
    "kind": "arxiv",
    "version": 2
  }
}