Pith Number

pith:G722RWKV

pith:2013:G722RWKVDI6R4DKPVJRGT2OWEJ

not attested not anchored not stored refs pending

Subgroup decomposition in Out(F_n), Part II: A relative Kolchin theorem

Lee Mosher, Michael Handel

arxiv:1302.2379 v3 · 2013-02-10 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G722RWKVDI6R4DKPVJRGT2OWEJ}

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	2026-05-18T03:20:20.440016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f5a8d9551a3d1e0d4faa6269e9d62253b1f8bb854e547eb365be8bce043598

Aliases

arxiv: 1302.2379 · arxiv_version: 1302.2379v3 · doi: 10.48550/arxiv.1302.2379 · pith_short_12: G722RWKVDI6R · pith_short_16: G722RWKVDI6R4DKP · pith_short_8: G722RWKV

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/G722RWKVDI6R4DKPVJRGT2OWEJ \
  | 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: 37f5a8d9551a3d1e0d4faa6269e9d62253b1f8bb854e547eb365be8bce043598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ff49bcafec9fbcb0acc79affa26153fe217dfc70aeec672a3b5cf953c75eeb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-10T23:44:41Z",
    "title_canon_sha256": "4174bd2fecd0939697c51d1d3fbfb51506211f33cf820c879d57250895479bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2379",
    "kind": "arxiv",
    "version": 3
  }
}