Pith Number

pith:2P4YQT5B

pith:1997:2P4YQT5BJKO5ZLPAQPTUNXHEZQ

not attested not anchored not stored refs pending

Automorphisms of generalized Thompson groups

Fernando Guzman, Matthew G. Brin

arxiv:math/9708202 v1 · 1997-08-28 · 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{2P4YQT5BJKO5ZLPAQPTUNXHEZQ}

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	2026-05-18T03:14:17.958375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f9884fa14a9ddcade083e746dce4cc1e1a2e65566e77ce5288ba30030b7629

Aliases

arxiv: math/9708202 · arxiv_version: math/9708202v1 · doi: 10.48550/arxiv.math/9708202 · pith_short_12: 2P4YQT5BJKO5 · pith_short_16: 2P4YQT5BJKO5ZLPA · pith_short_8: 2P4YQT5B

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/2P4YQT5BJKO5ZLPAQPTUNXHEZQ \
  | 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: d3f9884fa14a9ddcade083e746dce4cc1e1a2e65566e77ce5288ba30030b7629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f349c4c49f69b249a817f54cae6e32ca0389289742bc9aeedf1d99720ab17c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1997-08-28T16:35:37Z",
    "title_canon_sha256": "67df436857100fd3f1a86f0bac5c4c4c7b2505ba48c122313f1158dc9a2b0ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9708202",
    "kind": "arxiv",
    "version": 1
  }
}