Pith Number

pith:LFEGRL2D

pith:2016:LFEGRL2D73D7SDOXJVC4Z554R5

not attested not anchored not stored refs pending

Axiomatizability of the stable rank of C*-algebras

Ilijas Farah, Mikael R{\o}rdam

arxiv:1611.08462 v2 · 2016-11-25 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFEGRL2D73D7SDOXJVC4Z554R5}

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	2026-05-18T00:52:43.999194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

594868af43fec7f90dd74d45ccf7bc8f5a2f01622293d1d56798d60feeca1886

Aliases

arxiv: 1611.08462 · arxiv_version: 1611.08462v2 · doi: 10.48550/arxiv.1611.08462 · pith_short_12: LFEGRL2D73D7 · pith_short_16: LFEGRL2D73D7SDOX · pith_short_8: LFEGRL2D

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/LFEGRL2D73D7SDOXJVC4Z554R5 \
  | 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: 594868af43fec7f90dd74d45ccf7bc8f5a2f01622293d1d56798d60feeca1886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b86e86744d25005fec6b9e5bebb3186516258627f66322813b6debf41c6d9f1",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-11-25T14:19:51Z",
    "title_canon_sha256": "e09f3c4939e46494f18e33819cc8acdc2cf6fcb9ef60a2102889af7b6a8e5ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08462",
    "kind": "arxiv",
    "version": 2
  }
}