Pith Number

pith:PXK3XYD4

pith:2012:PXK3XYD4NBR7Y23FR4I2RH3Q6H

not attested not anchored not stored refs pending

Positive combinations of projections in von Neumann algebras and purely infinite simple C*-algebras

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

arxiv:1201.4844 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{PXK3XYD4NBR7Y23FR4I2RH3Q6H}

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	2026-05-18T04:04:05.131717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd5bbe07c6863fc6b658f11a89f70f1fa3784ac6957142f9486d09a2a6a2f70

Aliases

arxiv: 1201.4844 · arxiv_version: 1201.4844v1 · doi: 10.48550/arxiv.1201.4844 · pith_short_12: PXK3XYD4NBR7 · pith_short_16: PXK3XYD4NBR7Y23F · pith_short_8: PXK3XYD4

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/PXK3XYD4NBR7Y23FR4I2RH3Q6H \
  | 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: 7dd5bbe07c6863fc6b658f11a89f70f1fa3784ac6957142f9486d09a2a6a2f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d5eebe0ebd0513d398ad581678b3bd9661f2dfbe4a30019d8afafdf88f12fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-23T20:10:35Z",
    "title_canon_sha256": "cf7a181c06ebb51712ec0347d26627a6e36f29d36f624e479f5669009c4e3979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4844",
    "kind": "arxiv",
    "version": 1
  }
}