Pith Number

pith:2QTKEQEM

pith:2009:2QTKEQEMCV5JTUIR5RKOTBI4TM

not attested not anchored not stored refs pending

Hilbert C*-modules and amenable actions

Piotr W. Nowak, Ronald G. Douglas

arxiv:0908.1173 v2 · 2009-08-08 · math.FA · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QTKEQEMCV5JTUIR5RKOTBI4TM}

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	2026-05-18T04:16:10.802051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d426a2408c157a99d111ec54e9851c9b39abd136c952f8f423e362820da0650d

Aliases

arxiv: 0908.1173 · arxiv_version: 0908.1173v2 · doi: 10.48550/arxiv.0908.1173 · pith_short_12: 2QTKEQEMCV5J · pith_short_16: 2QTKEQEMCV5JTUIR · pith_short_8: 2QTKEQEM

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/2QTKEQEMCV5JTUIR5RKOTBI4TM \
  | 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: d426a2408c157a99d111ec54e9851c9b39abd136c952f8f423e362820da0650d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70b91fae6b0381591818be888b05fd659bec2d8221713fc270d733543e55db9",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-08-08T15:58:24Z",
    "title_canon_sha256": "e7ce2bbca6e82270ce1061694ef0ed6563ce5ca2337de00c73a8ed9176da2c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1173",
    "kind": "arxiv",
    "version": 2
  }
}