Pith Number

pith:KLTXUZG4

pith:2010:KLTXUZG46CDOFGH6FL5RBVXFC4

not attested not anchored not stored refs pending

Subgroup Distortion in Wreath Products of Cyclic Groups

Alexander Olshanskii, Tara Davis

arxiv:1009.4364 v3 · 2010-09-22 · 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{KLTXUZG46CDOFGH6FL5RBVXFC4}

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	2026-05-18T04:24:45.221268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e77a64dcf086e298fe2afb10d6e51720d029ef167af9394ce15157603016e4

Aliases

arxiv: 1009.4364 · arxiv_version: 1009.4364v3 · doi: 10.48550/arxiv.1009.4364 · pith_short_12: KLTXUZG46CDO · pith_short_16: KLTXUZG46CDOFGH6 · pith_short_8: KLTXUZG4

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/KLTXUZG46CDOFGH6FL5RBVXFC4 \
  | 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: 52e77a64dcf086e298fe2afb10d6e51720d029ef167af9394ce15157603016e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02be7c417964bcfcbac65529dc14714171f6b979db99caa81fda3c28a1d315c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-22T14:09:05Z",
    "title_canon_sha256": "fc6a570242ac12af811c98e05f3561be98ad5261b2dba89551c1cd20e5385c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4364",
    "kind": "arxiv",
    "version": 3
  }
}