Pith Number

pith:IWD4LMBR

pith:2009:IWD4LMBRQ2XI25C3PEF4PIYV4R

not attested not anchored not stored refs pending

Representation of certain homogeneous Hilbertian operator spaces and applications

Marius Junge, Quanhua Xu

arxiv:0906.5308 v2 · 2009-06-29 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWD4LMBRQ2XI25C3PEF4PIYV4R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:13:11.984929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4587c5b03186ae8d745b790bc7a315e4637e9bf6eb6583f7a398219bbf18c1de

Aliases

arxiv: 0906.5308 · arxiv_version: 0906.5308v2 · doi: 10.48550/arxiv.0906.5308 · pith_short_12: IWD4LMBRQ2XI · pith_short_16: IWD4LMBRQ2XI25C3 · pith_short_8: IWD4LMBR

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/IWD4LMBRQ2XI25C3PEF4PIYV4R \
  | 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: 4587c5b03186ae8d745b790bc7a315e4637e9bf6eb6583f7a398219bbf18c1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4ed34e874e7ba02f75c0d6e16bceec2a825f8c3301351d123abb11984ef825",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-29T16:12:28Z",
    "title_canon_sha256": "2d2283eab27ee2e97f56f8cec80e33968c8e4fe7e89db0684a8f08db35cc1981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5308",
    "kind": "arxiv",
    "version": 2
  }
}