Pith Number

pith:VRZD4BFV

pith:2014:VRZD4BFVDODHRU5Y7ZNHOD7UZU

not attested not anchored not stored refs pending

Quasitraces on exact C*-algebras are traces

Uffe Haagerup

arxiv:1403.7653 v1 · 2014-03-29 · 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{VRZD4BFVDODHRU5Y7ZNHOD7UZU}

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	2026-05-18T02:55:12.783350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac723e04b51b8678d3b8fe5a770ff4cd1c98c16cd5f3aeb83a77318f783ef3af

Aliases

arxiv: 1403.7653 · arxiv_version: 1403.7653v1 · doi: 10.48550/arxiv.1403.7653 · pith_short_12: VRZD4BFVDODH · pith_short_16: VRZD4BFVDODHRU5Y · pith_short_8: VRZD4BFV

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/VRZD4BFVDODHRU5Y7ZNHOD7UZU \
  | 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: ac723e04b51b8678d3b8fe5a770ff4cd1c98c16cd5f3aeb83a77318f783ef3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebf71326cfe1df05231c80fb8c2303e3a68165dd5e184de7d36d28ba744fe21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-03-29T17:41:35Z",
    "title_canon_sha256": "140d64f801377c39fe4004f069f169f57d77a2fee5e7c29ce052d1ca613f0dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7653",
    "kind": "arxiv",
    "version": 1
  }
}