Pith Number

pith:RG3CTLHZ

pith:2012:RG3CTLHZHXNPKGH5QSZ4TMWLZI

not attested not anchored not stored refs pending

Low dimensional free and linear representations of $\mathrm{Out}(F_3)$

Dawid Kielak

arxiv:1202.0923 v2 · 2012-02-04 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RG3CTLHZHXNPKGH5QSZ4TMWLZI}

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	2026-05-18T01:23:26.783554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b629acf93ddaf518fd84b3c9b2cbca18e9bbb9faffa28f175d62deae7ec4ef

Aliases

arxiv: 1202.0923 · arxiv_version: 1202.0923v2 · doi: 10.48550/arxiv.1202.0923 · pith_short_12: RG3CTLHZHXNP · pith_short_16: RG3CTLHZHXNPKGH5 · pith_short_8: RG3CTLHZ

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/RG3CTLHZHXNPKGH5QSZ4TMWLZI \
  | 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: 89b629acf93ddaf518fd84b3c9b2cbca18e9bbb9faffa28f175d62deae7ec4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed68f3e227afeeca441bb3affb1cd8da0680d8015423048abd3f87307d235713",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-04T22:23:39Z",
    "title_canon_sha256": "b7d87a832e0ba6a32910e34598209559c889184e27ae14ef1d050f288cac4126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0923",
    "kind": "arxiv",
    "version": 2
  }
}