Pith Number

pith:HW4S54AR

pith:2010:HW4S54AR55KVTIXL4JZCTS2FMQ

not attested not anchored not stored refs pending

Syndetic Sets and Amenability

Vern I. Paulsen

arxiv:1002.3157 v2 · 2010-02-17 · 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{HW4S54AR55KVTIXL4JZCTS2FMQ}

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	2026-05-18T04:30:12.658271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db92ef011ef5559a2ebe27229cb4564292374f23ae7ac3024f249936149f9cc

Aliases

arxiv: 1002.3157 · arxiv_version: 1002.3157v2 · doi: 10.48550/arxiv.1002.3157 · pith_short_12: HW4S54AR55KV · pith_short_16: HW4S54AR55KVTIXL · pith_short_8: HW4S54AR

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/HW4S54AR55KVTIXL4JZCTS2FMQ \
  | 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: 3db92ef011ef5559a2ebe27229cb4564292374f23ae7ac3024f249936149f9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ebcd45c6b987b87b45fa0eee395322117dbb62c5927b5c3dca2ad9ca854339d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-17T17:09:49Z",
    "title_canon_sha256": "8a8810c47d91b06a425407e93a05bf2a9d1a9c0e2080db2a0bf138caa60b40d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3157",
    "kind": "arxiv",
    "version": 2
  }
}