Pith Number

pith:U7EIDZJL

pith:2016:U7EIDZJLXW43XYR5KGQYFB6XTL

not attested not anchored not stored refs pending

Some geometric properties of metric ultraproducts of finite simple groups

Andreas Thom, John Wilson

arxiv:1606.03863 v1 · 2016-06-13 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7EIDZJLXW43XYR5KGQYFB6XTL}

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	2026-05-18T01:12:32.881117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c881e52bbdb9bbe23d51a18287d79ac7c3768601bca84cb120c6bafa2bc020

Aliases

arxiv: 1606.03863 · arxiv_version: 1606.03863v1 · doi: 10.48550/arxiv.1606.03863 · pith_short_12: U7EIDZJLXW43 · pith_short_16: U7EIDZJLXW43XYR5 · pith_short_8: U7EIDZJL

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/U7EIDZJLXW43XYR5KGQYFB6XTL \
  | 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: a7c881e52bbdb9bbe23d51a18287d79ac7c3768601bca84cb120c6bafa2bc020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124e55dae19785bf1b728325057dfff4c6e3a5d4a990f603d5364bc13857b22d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-13T09:07:23Z",
    "title_canon_sha256": "aba2e0b24ebb16351a1966df84441084a844c1bfb7925fba60f0116812260273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03863",
    "kind": "arxiv",
    "version": 1
  }
}