Pith Number

pith:FQXTTM6W

pith:2021:FQXTTM6W4Z7D3O2S7MPHRDCJR2

not attested not anchored not stored refs pending

Growth in linear groups

Brendan Murphy, Endre Szab\'o, L\'aszl\'o Pyber, Sean Eberhard

arxiv:2107.06674 v3 · 2021-07-14 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQXTTM6W4Z7D3O2S7MPHRDCJR2}

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.

Cited by

1 paper in Pith

Uniform expansion in finite groups of Lie type

Receipt and verification

First computed	2026-07-05T11:46:32.111629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2f39b3d6e67e3dbb52fb1e788c498ebec1c424dddc784b2653a8ad8418795d

Aliases

arxiv: 2107.06674 · arxiv_version: 2107.06674v3 · doi: 10.48550/arxiv.2107.06674 · pith_short_12: FQXTTM6W4Z7D · pith_short_16: FQXTTM6W4Z7D3O2S · pith_short_8: FQXTTM6W

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/FQXTTM6W4Z7D3O2S7MPHRDCJR2 \
  | 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: 2c2f39b3d6e67e3dbb52fb1e788c498ebec1c424dddc784b2653a8ad8418795d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2664ac9359120ee9201736a7acf7e6ce6bf7710ffecb9fecdc83b07b709020e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-07-14T13:05:19Z",
    "title_canon_sha256": "9f05286e4f0957899b19d7072fb5ed49717b8d5f201ad223b6cb574bf9ea944b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06674",
    "kind": "arxiv",
    "version": 3
  }
}