Pith Number

pith:7MXLBP7D

pith:2016:7MXLBP7DDDDDN5AYM4SM3H6RPK

not attested not anchored not stored refs pending

On connected Lie groups and the Approximation Property

S{\o}ren Knudby

arxiv:1603.05518 v1 · 2016-03-16 · math.OA · math.FA · 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{7MXLBP7DDDDDN5AYM4SM3H6RPK}

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	2026-05-18T01:04:32.882719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2eb0bfe318c636f4186724cd9fd17ab8b322fc66726e75d5b1da794cfddbe9

Aliases

arxiv: 1603.05518 · arxiv_version: 1603.05518v1 · doi: 10.48550/arxiv.1603.05518 · pith_short_12: 7MXLBP7DDDDD · pith_short_16: 7MXLBP7DDDDDN5AY · pith_short_8: 7MXLBP7D

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/7MXLBP7DDDDDN5AYM4SM3H6RPK \
  | 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: fb2eb0bfe318c636f4186724cd9fd17ab8b322fc66726e75d5b1da794cfddbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab0db49f8674ee59970b21f4e38ca0d6fcd9b6962a07cfe148a50b7d1a28d7c",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-16T15:26:16Z",
    "title_canon_sha256": "15462c6ac73a07da01e6112378b7ed92e8ebfc941147ed17cdfdaa9686b336e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05518",
    "kind": "arxiv",
    "version": 1
  }
}