Pith Number

pith:OS7MUPVM

pith:2008:OS7MUPVMDVIUM6GG765SHDIYU5

not attested not anchored not stored refs pending

K_1-injectivity for properly infinite C*-algebras

Etienne Blanchard

arxiv:0804.4624 v13 · 2008-04-29 · 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{OS7MUPVMDVIUM6GG765SHDIYU5}

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	2026-05-18T04:39:28.990405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74beca3eac1d514678c6ffbb238d18a76663bd9687b45d4b64c2eaa136849bb2

Aliases

arxiv: 0804.4624 · arxiv_version: 0804.4624v13 · doi: 10.48550/arxiv.0804.4624 · pith_short_12: OS7MUPVMDVIU · pith_short_16: OS7MUPVMDVIUM6GG · pith_short_8: OS7MUPVM

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/OS7MUPVMDVIUM6GG765SHDIYU5 \
  | 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: 74beca3eac1d514678c6ffbb238d18a76663bd9687b45d4b64c2eaa136849bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4d3c7d9141683ebc6b76305e75914d803bbd8a8be32379b3ef7c8ae067eeb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-04-29T14:33:46Z",
    "title_canon_sha256": "6ffea2c3f8a0403e3af54983ae969a181ca82a37e8f6c2607fc6f5d236db4b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4624",
    "kind": "arxiv",
    "version": 13
  }
}