Pith Number

pith:FHCORI7F

pith:2017:FHCORI7FSVKYEZRIPSY7HVCEIH

not attested not anchored not stored refs pending

Existence of tracial states on reduced group C*-algebras

Brian E. Forrest, Matthew Wiersma, Nico Spronk

arxiv:1706.05354 v2 · 2017-06-16 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHCORI7FSVKYEZRIPSY7HVCEIH}

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	2026-05-18T00:39:58.047770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c4e8a3e595558266287cb1f3d44441f608a578778961e09b6c5083a6b2f588

Aliases

arxiv: 1706.05354 · arxiv_version: 1706.05354v2 · doi: 10.48550/arxiv.1706.05354 · pith_short_12: FHCORI7FSVKY · pith_short_16: FHCORI7FSVKYEZRI · pith_short_8: FHCORI7F

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/FHCORI7FSVKYEZRIPSY7HVCEIH \
  | 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: 29c4e8a3e595558266287cb1f3d44441f608a578778961e09b6c5083a6b2f588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682ebd954ded8183566854351c7a737f201d49bc14714ec8080282fb5cce8cc3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-16T17:21:05Z",
    "title_canon_sha256": "50470ac7796a983ffbc0237b136e561f184fc40455570500424eaac4275b4077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05354",
    "kind": "arxiv",
    "version": 2
  }
}