Pith Number

pith:JB5QFCUC

pith:2014:JB5QFCUCHV5ECQL6PBXU2EIVWK

not attested not anchored not stored refs pending

Thompson groups for systems of groups, and their finiteness properties

Matthew C. B. Zaremsky, Stefan Witzel

arxiv:1405.5491 v3 · 2014-05-21 · 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{JB5QFCUCHV5ECQL6PBXU2EIVWK}

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	2026-05-18T00:02:28.573148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487b028a823d7a41417e786f4d1115b291ec608e85783d04f5bb115d05207e70

Aliases

arxiv: 1405.5491 · arxiv_version: 1405.5491v3 · doi: 10.48550/arxiv.1405.5491 · pith_short_12: JB5QFCUCHV5E · pith_short_16: JB5QFCUCHV5ECQL6 · pith_short_8: JB5QFCUC

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/JB5QFCUCHV5ECQL6PBXU2EIVWK \
  | 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: 487b028a823d7a41417e786f4d1115b291ec608e85783d04f5bb115d05207e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd9bf6cc21eaf0798fcb7e6b9034a4a283437835dbe596b4eacecc306e3f5b3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-21T17:43:36Z",
    "title_canon_sha256": "3eb6dca1e61261433871cb32f00128cd95e267e79e6bf9b4ae0b0c6e63b995ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5491",
    "kind": "arxiv",
    "version": 3
  }
}