Pith Number

pith:UZURCLKR

pith:2010:UZURCLKRHT5FJT7Z2NXS2LU2WB

not attested not anchored not stored refs pending

The topology of a semisimple Lie group is essentially unique

Linus Kramer

arxiv:1009.5457 v6 · 2010-09-28 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZURCLKRHT5FJT7Z2NXS2LU2WB}

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	2026-05-18T04:16:02.330853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a669112d513cfa54cff9d36f2d2e9ab06a24eb71fe2125f7d95ac714e3739a0e

Aliases

arxiv: 1009.5457 · arxiv_version: 1009.5457v6 · doi: 10.48550/arxiv.1009.5457 · pith_short_12: UZURCLKRHT5F · pith_short_16: UZURCLKRHT5FJT7Z · pith_short_8: UZURCLKR

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/UZURCLKRHT5FJT7Z2NXS2LU2WB \
  | 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: a669112d513cfa54cff9d36f2d2e9ab06a24eb71fe2125f7d95ac714e3739a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b316aad8ffedcd8a1740ef8a86e678505123cc1c46d21f77f294010fca25e7",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-28T06:22:40Z",
    "title_canon_sha256": "b2e2f0cb61bed99709ddf18be3afb6fc6017f141e8c13bb427cafb4e2e3aa2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5457",
    "kind": "arxiv",
    "version": 6
  }
}