Pith Number

pith:JC5EPU4L

pith:2012:JC5EPU4LDEJLR7VXHQLFVJ4EIG

not attested not anchored not stored refs pending

Asymptotic unitary equivalence in $C^*$-algebras

Huaxin Lin, Zhuang Niu

arxiv:1206.6610 v2 · 2012-06-28 · 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{JC5EPU4LDEJLR7VXHQLFVJ4EIG}

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	2026-05-18T03:16:17.351738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ba47d38b1912b8feb73c165aa78441af02c5e754f69451d61e146b1caed3de

Aliases

arxiv: 1206.6610 · arxiv_version: 1206.6610v2 · doi: 10.48550/arxiv.1206.6610 · pith_short_12: JC5EPU4LDEJL · pith_short_16: JC5EPU4LDEJLR7VX · pith_short_8: JC5EPU4L

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/JC5EPU4LDEJLR7VXHQLFVJ4EIG \
  | 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: 48ba47d38b1912b8feb73c165aa78441af02c5e754f69451d61e146b1caed3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2153c5cfbdbe4a1c4e36233605c5e7d02c3660d3f5955c9431017fce2c73cdc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-28T09:50:02Z",
    "title_canon_sha256": "1c2cf797ec72a138214e1740f7584a4b54a9325c3e63a533ddfd465689b4803e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6610",
    "kind": "arxiv",
    "version": 2
  }
}