Pith Number

pith:SQWUXUDX

pith:2026:SQWUXUDXTP6RFT7ILTBAO75J3R

not attested not anchored not stored refs pending

Uniform expansion in finite groups of Lie type

Emmanuel Breuillard, Oren Becker

arxiv:2608.00755 v1 · 2026-08-01 · 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{SQWUXUDXTP6RFT7ILTBAO75J3R}

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	2026-08-04T01:54:52.998701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942d4bd0779bfd12cfe85cc2077fa9dc61767eaefc900faf78968ed6b549805e

Aliases

arxiv: 2608.00755 · arxiv_version: 2608.00755v1 · doi: 10.48550/arxiv.2608.00755 · pith_short_12: SQWUXUDXTP6R · pith_short_16: SQWUXUDXTP6RFT7I · pith_short_8: SQWUXUDX

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/SQWUXUDXTP6RFT7ILTBAO75J3R \
  | 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: 942d4bd0779bfd12cfe85cc2077fa9dc61767eaefc900faf78968ed6b549805e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30be6b23cf4b5a180f9d9576df4c3b7641ada0bd11cf7c034079388fbdda0104",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-01T16:39:42Z",
    "title_canon_sha256": "d564e6fa10836c0ec362a047fc8d87df0dc743cd75dad6d643a505c6056719e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00755",
    "kind": "arxiv",
    "version": 1
  }
}