Pith Number

pith:QQYWGNIP

pith:2012:QQYWGNIPMZWTBJ3C54MKPBO4ZO

not attested not anchored not stored refs pending

Finite sums of projections in purely infinite simple C*-algebras with torsion K_0

P. N. Ng, S. Zhang, V. Kaftal

arxiv:1201.4837 v1 · 2012-01-23 · 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{QQYWGNIPMZWTBJ3C54MKPBO4ZO}

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	2026-05-18T04:04:05.140160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843163350f666d30a762ef18a785dccbb68d88cf25e90289d77bfbde8045acea

Aliases

arxiv: 1201.4837 · arxiv_version: 1201.4837v1 · doi: 10.48550/arxiv.1201.4837 · pith_short_12: QQYWGNIPMZWT · pith_short_16: QQYWGNIPMZWTBJ3C · pith_short_8: QQYWGNIP

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/QQYWGNIPMZWTBJ3C54MKPBO4ZO \
  | 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: 843163350f666d30a762ef18a785dccbb68d88cf25e90289d77bfbde8045acea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8d627a99d4a1e01e3ef00b49e982910d86aa3b22e26b296aa08ad9ff63737f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-23T19:51:13Z",
    "title_canon_sha256": "96afb2d7c3bef3a1655a4db2bb463afd8336f9126f2d2794dee54eca089f0662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4837",
    "kind": "arxiv",
    "version": 1
  }
}