Pith Number

pith:L7C7LUEE

pith:2012:L7C7LUEEFQDZCXNKERAW4QMRU3

not attested not anchored not stored refs pending

Nil-automorphisms of groups with residual properties

Carlo Casolo, Orazio Puglisi

arxiv:1203.3645 v3 · 2012-03-16 · 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{L7C7LUEEFQDZCXNKERAW4QMRU3}

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	2026-05-18T03:55:11.950924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc5f5d0842c07915daa24416e4191a6f6ebbd4a7555b1e2cffc57341c51e66b

Aliases

arxiv: 1203.3645 · arxiv_version: 1203.3645v3 · doi: 10.48550/arxiv.1203.3645 · pith_short_12: L7C7LUEEFQDZ · pith_short_16: L7C7LUEEFQDZCXNK · pith_short_8: L7C7LUEE

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/L7C7LUEEFQDZCXNKERAW4QMRU3 \
  | 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: 5fc5f5d0842c07915daa24416e4191a6f6ebbd4a7555b1e2cffc57341c51e66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f40f2a39ed07dddc6da11c4517e66df28f7ee8dbad21d35b96212a155856350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-16T09:31:42Z",
    "title_canon_sha256": "8426f267bc87f8ff9ffef70b63ad6964fae794296e882c28758abbff4e07c5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3645",
    "kind": "arxiv",
    "version": 3
  }
}