Pith Number

pith:7NOALU3H

pith:2019:7NOALU3HX2ZYNQIP4QUCB57QCY

not attested not anchored not stored refs pending

Automorphisms of the generalised Thompson's group $T_{n,r}$

Feyishayo Olukoya

arxiv:1908.03816 v1 · 2019-08-10 · 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{7NOALU3HX2ZYNQIP4QUCB57QCY}

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	2026-07-04T23:53:18.415014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5c05d367beb386c10fe42820f7f0160525ac8a69cbe2c91743e861800c277a

Aliases

arxiv: 1908.03816 · arxiv_version: 1908.03816v1 · doi: 10.48550/arxiv.1908.03816 · pith_short_12: 7NOALU3HX2ZY · pith_short_16: 7NOALU3HX2ZYNQIP · pith_short_8: 7NOALU3H

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/7NOALU3HX2ZYNQIP4QUCB57QCY \
  | 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: fb5c05d367beb386c10fe42820f7f0160525ac8a69cbe2c91743e861800c277a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78c8f5df1604537a843ea808dc83c0694cb3f4d99ae6bcee7d59ff1b190307a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-10T21:55:37Z",
    "title_canon_sha256": "ded282d3bbc34992a1679fbbf846e7aef29f4000ffe2aa7e175d9628fe705308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03816",
    "kind": "arxiv",
    "version": 1
  }
}