Pith Number

pith:KT5VWOLV

pith:2015:KT5VWOLV4D4JTGI2NDUEPTFS53

not attested not anchored not stored refs pending

A new look at C*-simplicity and the unique trace property of a group

Uffe Haagerup

arxiv:1509.05880 v2 · 2015-09-19 · 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{KT5VWOLV4D4JTGI2NDUEPTFS53}

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	2026-05-18T01:12:34.841620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fb5b3975e0f899991a68e847ccb2eedcca8ffad4437dc8d253b9e5715e1639

Aliases

arxiv: 1509.05880 · arxiv_version: 1509.05880v2 · doi: 10.48550/arxiv.1509.05880 · pith_short_12: KT5VWOLV4D4J · pith_short_16: KT5VWOLV4D4JTGI2 · pith_short_8: KT5VWOLV

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/KT5VWOLV4D4JTGI2NDUEPTFS53 \
  | 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: 54fb5b3975e0f899991a68e847ccb2eedcca8ffad4437dc8d253b9e5715e1639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663591fcf5830724d756360651e25b4613539bf27ae0d3a50bb05fdb131ed2c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-19T12:06:39Z",
    "title_canon_sha256": "ff9122a926d0e1f4d0ea917083ada70ce52fc4fd72a8538e2160fd81698d0f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05880",
    "kind": "arxiv",
    "version": 2
  }
}