Pith Number

pith:CZUTCMN7

pith:2006:CZUTCMN7WMXDEOCFMTRRPCMMEQ

not attested not anchored not stored refs pending

Fundamental Groups of Commuting Elements in Lie Groups

Denis Sjerve, Enrique Torres-Giese

arxiv:math/0609375 v1 · 2006-09-14 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZUTCMN7WMXDEOCFMTRRPCMMEQ}

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	2026-05-18T02:57:45.520583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16693131bfb32e32384564e317898c242b104dd829d0942503b22e049c3eec3c

Aliases

arxiv: math/0609375 · arxiv_version: math/0609375v1 · doi: 10.48550/arxiv.math/0609375 · pith_short_12: CZUTCMN7WMXD · pith_short_16: CZUTCMN7WMXDEOCF · pith_short_8: CZUTCMN7

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/CZUTCMN7WMXDEOCFMTRRPCMMEQ \
  | 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: 16693131bfb32e32384564e317898c242b104dd829d0942503b22e049c3eec3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895a99efa8ced2c47bed16c3c37a93ba1fbb7d7f0c0464f51ecf665b3a299259",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-09-14T00:58:37Z",
    "title_canon_sha256": "254b910f6ba0c9ccf1a417f3a2386ad1e37c6c8021c45d9a413efa66285525ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609375",
    "kind": "arxiv",
    "version": 1
  }
}