Pith Number

pith:PUP42HDW

pith:2014:PUP42HDW5ZDTPCG7GQ754BM72C

not attested not anchored not stored refs pending

Completely bounded isomorphisms of operator algebras and similarity to complete isometries

Rapha\"el Clou\^atre

arxiv:1401.0748 v3 · 2014-01-03 · 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{PUP42HDW5ZDTPCG7GQ754BM72C}

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	2026-05-18T02:51:22.970936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1fcd1c76ee473788df343fde059fd0ab1ddbe5355003fb0715264af51fcfef

Aliases

arxiv: 1401.0748 · arxiv_version: 1401.0748v3 · doi: 10.48550/arxiv.1401.0748 · pith_short_12: PUP42HDW5ZDT · pith_short_16: PUP42HDW5ZDTPCG7 · pith_short_8: PUP42HDW

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/PUP42HDW5ZDTPCG7GQ754BM72C \
  | 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: 7d1fcd1c76ee473788df343fde059fd0ab1ddbe5355003fb0715264af51fcfef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e39a9c6156ed20c135d751ab2b1e95f2aeb7fb0298be2e5255a6e979dd78d27",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-03T22:44:12Z",
    "title_canon_sha256": "8fb55a872185be8ee729ae2cd0d204936fe4e3053b14297081f99334323d62ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0748",
    "kind": "arxiv",
    "version": 3
  }
}