Pith Number

pith:JFS3EJUW

pith:2009:JFS3EJUWV7CDQUACOQ75NONRGA

not attested not anchored not stored refs pending

Maurey's factorization theory for operator spaces

Javier Parcet, Marius Junge

arxiv:0901.1928 v4 · 2009-01-14 · math.FA · 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{JFS3EJUWV7CDQUACOQ75NONRGA}

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	2026-07-04T15:57:03.080343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4965b22696afc4385002743fd6b9b130393387c9c1fb50e40e4b42d848d017e0

Aliases

arxiv: 0901.1928 · arxiv_version: 0901.1928v4 · doi: 10.48550/arxiv.0901.1928 · pith_short_12: JFS3EJUWV7CD · pith_short_16: JFS3EJUWV7CDQUAC · pith_short_8: JFS3EJUW

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/JFS3EJUWV7CDQUACOQ75NONRGA \
  | 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: 4965b22696afc4385002743fd6b9b130393387c9c1fb50e40e4b42d848d017e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b3cb531aaff2ae5846c22c6ad6194c1982b413fab2f84bf2a7d5792ac425ec",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-01-14T05:09:54Z",
    "title_canon_sha256": "330a7dee63dbbe757f9f7af2f5d23134d209d61eec5d2f55304a673705d12820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1928",
    "kind": "arxiv",
    "version": 4
  }
}