Pith Number

pith:GVMPVFQS

pith:2016:GVMPVFQS66EDKUXRI7DN3PQM4T

not attested not anchored not stored refs pending

Invariable generation of Thompson groups

Gili Golan, Kate Juschenko, Tsachik Gelander

arxiv:1611.08264 v2 · 2016-11-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVMPVFQS66EDKUXRI7DN3PQM4T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:56:30.225080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3558fa9612f7883552f147c6ddbe0ce4cc1989bf1872742e8452cf5b428a8b9f

Aliases

arxiv: 1611.08264 · arxiv_version: 1611.08264v2 · doi: 10.48550/arxiv.1611.08264 · pith_short_12: GVMPVFQS66ED · pith_short_16: GVMPVFQS66EDKUXR · pith_short_8: GVMPVFQS

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/GVMPVFQS66EDKUXRI7DN3PQM4T \
  | 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: 3558fa9612f7883552f147c6ddbe0ce4cc1989bf1872742e8452cf5b428a8b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4d7cc75c94a264b20625799ba0a675c8f6ad453794b1221e1cf6f45a9e2c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-24T17:24:35Z",
    "title_canon_sha256": "2b0178ef2d74fd1ccb0f0f772f794d9546b553dfeefc34e170764b3e734e2e49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08264",
    "kind": "arxiv",
    "version": 2
  }
}