Pith Number

pith:CVGFAFJP

pith:2011:CVGFAFJPPK5J3MOTPQGA65S2JS

not attested not anchored not stored refs pending

The automorphism group of Thompson's group F: subgroups and metric properties

Jos\'e Burillo, Sean Cleary

arxiv:1107.4336 v1 · 2011-07-21 · 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{CVGFAFJPPK5J3MOTPQGA65S2JS}

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	2026-05-18T00:20:54.305790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154c50152f7aba9db1d37c0c0f765a4c892f55cef3af2b3cf176f174a78591e3

Aliases

arxiv: 1107.4336 · arxiv_version: 1107.4336v1 · doi: 10.48550/arxiv.1107.4336 · pith_short_12: CVGFAFJPPK5J · pith_short_16: CVGFAFJPPK5J3MOT · pith_short_8: CVGFAFJP

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/CVGFAFJPPK5J3MOTPQGA65S2JS \
  | 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: 154c50152f7aba9db1d37c0c0f765a4c892f55cef3af2b3cf176f174a78591e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401d87829ce9a82127c673e405e1f51dcfd9497d7c0e4fa93a6a28d3938565c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-21T18:38:18Z",
    "title_canon_sha256": "11794cdc66335ffa478bafc78d5f62482cb46c7ce565d72431ed8e298bef3820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4336",
    "kind": "arxiv",
    "version": 1
  }
}