Pith Number

pith:6S754I56

pith:2012:6S754I56TEMHDVNQZADXSWUBJK

not attested not anchored not stored refs pending

Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One

Junping Liu, Yifan Zhang

arxiv:1204.1453 v1 · 2012-04-06 · 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{6S754I56TEMHDVNQZADXSWUBJK}

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	2026-05-18T03:58:25.535096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4bfde23be991871d5b0c807795a814a957b5c6bbcd92b1e1c119ac01f68c5ee

Aliases

arxiv: 1204.1453 · arxiv_version: 1204.1453v1 · doi: 10.48550/arxiv.1204.1453 · pith_short_12: 6S754I56TEMH · pith_short_16: 6S754I56TEMHDVNQ · pith_short_8: 6S754I56

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/6S754I56TEMHDVNQZADXSWUBJK \
  | 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: f4bfde23be991871d5b0c807795a814a957b5c6bbcd92b1e1c119ac01f68c5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5b1c6c3ca1a7c814c226554958eccc6cc1b462997e0b7dcf19900a7c0e2ef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-06T11:34:12Z",
    "title_canon_sha256": "3e8dcf00dd66ce59cf8494b9002f6d27db24da58c9324320604c948c0d8f667c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1453",
    "kind": "arxiv",
    "version": 1
  }
}