Pith Number

pith:CXXIELYG

pith:2015:CXXIELYGKAAB75OUZJIKWLUGKJ

not attested not anchored not stored refs pending

Weak amenability and simply connected Lie groups

S{\o}ren Knudby

arxiv:1505.00984 v1 · 2015-05-05 · math.GR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXXIELYGKAAB75OUZJIKWLUGKJ}

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	2026-05-18T01:05:46.351602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ee822f0650001ff5d4ca50ab2e86527cc14a468e70ab4e14f9c40087fac33e

Aliases

arxiv: 1505.00984 · arxiv_version: 1505.00984v1 · doi: 10.48550/arxiv.1505.00984 · pith_short_12: CXXIELYGKAAB · pith_short_16: CXXIELYGKAAB75OU · pith_short_8: CXXIELYG

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/CXXIELYGKAAB75OUZJIKWLUGKJ \
  | 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: 15ee822f0650001ff5d4ca50ab2e86527cc14a468e70ab4e14f9c40087fac33e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf05eb7e996fb0bfe71569d3a157540d0413e4bfa88c4e7247db4fffc01f8f0",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-05T12:32:58Z",
    "title_canon_sha256": "78a873d1f6f0bfad7b0334880ecab397bb520a8f501779c3aa3161d7d684723f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00984",
    "kind": "arxiv",
    "version": 1
  }
}