Pith Number

pith:7YXWJBG2

pith:2013:7YXWJBG2ZJVFMGJQD7JOZXWNQ4

not attested not anchored not stored refs pending

On extensions for Ree groups of type F_4

David I. Stewart

arxiv:1304.2544 v1 · 2013-04-09 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YXWJBG2ZJVFMGJQD7JOZXWNQ4}

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	2026-05-18T03:28:31.613564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2f6484daca6a5619301fd2ecdecd8731526e07aefbd745402b96fabbe14ccc

Aliases

arxiv: 1304.2544 · arxiv_version: 1304.2544v1 · doi: 10.48550/arxiv.1304.2544 · pith_short_12: 7YXWJBG2ZJVF · pith_short_16: 7YXWJBG2ZJVFMGJQ · pith_short_8: 7YXWJBG2

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/7YXWJBG2ZJVFMGJQD7JOZXWNQ4 \
  | 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: fe2f6484daca6a5619301fd2ecdecd8731526e07aefbd745402b96fabbe14ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6d5e6620b4024fc5e07b5ad964a68c5bdb67036c8cae1e4d87a9e038006afd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-09T11:53:20Z",
    "title_canon_sha256": "c0a4e52a8945945f27cbbde141b2ad5660ce300717db1adb421b82c580252097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2544",
    "kind": "arxiv",
    "version": 1
  }
}