Pith Number

pith:VAEUQV3B

pith:2026:VAEUQV3BA4M753DQN7DDQ2ZMQT

not attested not anchored not stored refs pending

Topological full groups and stable rank one

David Kerr, Spyridon Petrakos

arxiv:2607.04300 v1 · 2026-07-05 · math.OA · 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{VAEUQV3BA4M753DQN7DDQ2ZMQT}

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	2026-07-07T02:19:07.579689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8094857610719feec706fc6386b2c84d30ac43032c66906d8d5ceb76732d736

Aliases

arxiv: 2607.04300 · arxiv_version: 2607.04300v1 · doi: 10.48550/arxiv.2607.04300 · pith_short_12: VAEUQV3BA4M7 · pith_short_16: VAEUQV3BA4M753DQ · pith_short_8: VAEUQV3B

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/VAEUQV3BA4M753DQN7DDQ2ZMQT \
  | 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: a8094857610719feec706fc6386b2c84d30ac43032c66906d8d5ceb76732d736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76db2a2a429bde38b94eb24deb3c17246ea4bdad322f1433e7cb9b2e41d7c286",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-05T13:27:43Z",
    "title_canon_sha256": "715e4884e45ebb72f0c23a017b079c1e000926e433b3680a868851f2e511383e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04300",
    "kind": "arxiv",
    "version": 1
  }
}