Pith Number

pith:APBNMJT4

pith:2013:APBNMJT4X73CDJLUCL4TETLSZX

not attested not anchored not stored refs pending

Exponential rank and exponential length for Z-stable simple C*-algebras

Huaxin Lin

arxiv:1301.0356 v2 · 2013-01-03 · 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{APBNMJT4X73CDJLUCL4TETLSZX}

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	2026-05-18T03:33:49.515611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c2d6267cbff621a57412f9324d72cdf0208b5fbb943ec9951486f10ebdeffe

Aliases

arxiv: 1301.0356 · arxiv_version: 1301.0356v2 · doi: 10.48550/arxiv.1301.0356 · pith_short_12: APBNMJT4X73C · pith_short_16: APBNMJT4X73CDJLU · pith_short_8: APBNMJT4

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/APBNMJT4X73CDJLUCL4TETLSZX \
  | 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: 03c2d6267cbff621a57412f9324d72cdf0208b5fbb943ec9951486f10ebdeffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea1e7aa8c6880545c58ac9468c5c48ec5cf15309a0a0a84c530d5ab75ce6662",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-03T00:02:22Z",
    "title_canon_sha256": "807dc7941c6fa0888a5fcf67c219dad266d2fe8d80d1d53a9b9b3582eb111bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0356",
    "kind": "arxiv",
    "version": 2
  }
}