Pith Number

pith:3XUC4U2D

pith:2016:3XUC4U2D7IGTKLOY2M3P2ATUHR

not attested not anchored not stored refs pending

Weak amenability of Lie groups made discrete

S{\o}ren Knudby

arxiv:1612.04280 v2 · 2016-12-13 · math.FA · math.GR · 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{3XUC4U2D7IGTKLOY2M3P2ATUHR}

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	2026-05-18T00:03:10.097175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde82e5343fa0d352dd8d336fd02743c7758fe2d5e3e859bac1f52afe1aad0a5

Aliases

arxiv: 1612.04280 · arxiv_version: 1612.04280v2 · doi: 10.48550/arxiv.1612.04280 · pith_short_12: 3XUC4U2D7IGT · pith_short_16: 3XUC4U2D7IGTKLOY · pith_short_8: 3XUC4U2D

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/3XUC4U2D7IGTKLOY2M3P2ATUHR \
  | 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: dde82e5343fa0d352dd8d336fd02743c7758fe2d5e3e859bac1f52afe1aad0a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6205991c8e8804c70f7a3cbbe04edfcff5f1d7966f942a6d4bf9aee1f136dafb",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-13T16:55:33Z",
    "title_canon_sha256": "844ff00b512acac74bca1fc4825f4ef07beea659fdeb915f3ddd819fc8165da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04280",
    "kind": "arxiv",
    "version": 2
  }
}