Pith Number

pith:B645AUOI

pith:2011:B645AUOIM6OMEUOQRYLTKVTZSO

not attested not anchored not stored refs pending

On relative extreme amenability

Lionel Nguyen Van Th\'e, Yonatan Gutman

arxiv:1105.6221 v5 · 2011-05-31 · 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{B645AUOIM6OMEUOQRYLTKVTZSO}

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	2026-05-18T02:29:53.493615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb9d051c8679cc251d08e173556799384e907c6e3cfbee732217e50d9d14208

Aliases

arxiv: 1105.6221 · arxiv_version: 1105.6221v5 · doi: 10.48550/arxiv.1105.6221 · pith_short_12: B645AUOIM6OM · pith_short_16: B645AUOIM6OMEUOQ · pith_short_8: B645AUOI

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/B645AUOIM6OMEUOQRYLTKVTZSO \
  | 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: 0fb9d051c8679cc251d08e173556799384e907c6e3cfbee732217e50d9d14208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f0546ef4cacaba257644bacb533f53a8de8d5ae103b4d3f9250fbc9725fc41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-31T09:39:24Z",
    "title_canon_sha256": "199e5bc5c7024e5bb5c57d2f405c31c679ed7e67bee2cdbbbf548cd4e0dfeb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6221",
    "kind": "arxiv",
    "version": 5
  }
}