Pith Number

pith:O3LTXJ5I

pith:2010:O3LTXJ5IZJYSMIGHUVQUDXKLRL

not attested not anchored not stored refs pending

Highly Transitive Actions of Out(Fn)

Shelly Garion, Yair Glasner

arxiv:1008.0563 v2 · 2010-08-03 · 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{O3LTXJ5IZJYSMIGHUVQUDXKLRL}

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	2026-05-18T04:08:34.877027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d73ba7a8ca712620c7a56141dd4b8afe51205491f17c5fb10b78be1a2e96b4

Aliases

arxiv: 1008.0563 · arxiv_version: 1008.0563v2 · doi: 10.48550/arxiv.1008.0563 · pith_short_12: O3LTXJ5IZJYS · pith_short_16: O3LTXJ5IZJYSMIGH · pith_short_8: O3LTXJ5I

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/O3LTXJ5IZJYSMIGHUVQUDXKLRL \
  | 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: 76d73ba7a8ca712620c7a56141dd4b8afe51205491f17c5fb10b78be1a2e96b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5126b1650b4421c63c1fa60f9d3c337b145a10b29f98ba53064828debf6e6a78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-03T14:55:25Z",
    "title_canon_sha256": "f5c69d24a68412aefd9a436b14f8798ce46f178bf5f7a14b08a169cc04011f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0563",
    "kind": "arxiv",
    "version": 2
  }
}