Pith Number

pith:4YOSV4O3

pith:2018:4YOSV4O3FPC6VGNF73NNGVX7RU

not attested not anchored not stored refs pending

A Characterization of Tracially Nuclear C*-algebras

Don Hadwin, Junhao Shen, Weihua Li, Wenjing Liu

arxiv:1810.05293 v1 · 2018-10-12 · 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{4YOSV4O3FPC6VGNF73NNGVX7RU}

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	2026-05-18T00:03:31.103897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61d2af1db2bc5ea99a5fedad356ff8d182bdbbc046c85cd3c6bf9648f86c60a

Aliases

arxiv: 1810.05293 · arxiv_version: 1810.05293v1 · doi: 10.48550/arxiv.1810.05293 · pith_short_12: 4YOSV4O3FPC6 · pith_short_16: 4YOSV4O3FPC6VGNF · pith_short_8: 4YOSV4O3

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/4YOSV4O3FPC6VGNF73NNGVX7RU \
  | 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: e61d2af1db2bc5ea99a5fedad356ff8d182bdbbc046c85cd3c6bf9648f86c60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ccbf5d09d740af478f97146eb1609698865b817faedf38796e78d15b1aa222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-10-12T00:04:25Z",
    "title_canon_sha256": "7d3793fe7dfbe63289ed4c9f322b65a71c607969ee620c140c4e94e52605b179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05293",
    "kind": "arxiv",
    "version": 1
  }
}