Pith Number

pith:Z7L3WI3M

pith:2007:Z7L3WI3MU6D3BUWA7XL5OE23Q5

not attested not anchored not stored refs pending

Property (T) for non-unital C*-algebras

Chi-Keung Ng, Chi-Wai Leung, Ngai-Ching Wong

arxiv:0710.5605 v1 · 2007-10-30 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7L3WI3MU6D3BUWA7XL5OE23Q5}

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	2026-05-18T02:16:10.113502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd7bb236ca787b0d2c0fdd7d7135b877d5b154345b77a5b294c069bcbe48427

Aliases

arxiv: 0710.5605 · arxiv_version: 0710.5605v1 · doi: 10.48550/arxiv.0710.5605 · pith_short_12: Z7L3WI3MU6D3 · pith_short_16: Z7L3WI3MU6D3BUWA · pith_short_8: Z7L3WI3M

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/Z7L3WI3MU6D3BUWA7XL5OE23Q5 \
  | 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: cfd7bb236ca787b0d2c0fdd7d7135b877d5b154345b77a5b294c069bcbe48427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e3d9da3da3c062b09a07feb2434895b4854169191dd09f0bc1366b694ad0b32",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-10-30T10:45:55Z",
    "title_canon_sha256": "5ecd428036a67f84cccec08b17ac650d9a235175300325283c0bc810f732ab21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5605",
    "kind": "arxiv",
    "version": 1
  }
}