Pith Number

pith:7UPISA3I

pith:2000:7UPISA3IR7IAYOSRJNK6O6WOEE

not attested not anchored not stored refs pending

Integral mappings and the principle of local reflexivity for noncommutative L^1-spaces

Edward G. Effros, Marius Junge, Zhong-Jin Ruan

arxiv:math/0008032 v1 · 2000-08-03 · 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{7UPISA3IR7IAYOSRJNK6O6WOEE}

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	2026-07-04T14:34:37.799217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1e8903688fd00c3a514b55e77ace210de44d0113665e7a7ae538301fc5b6b1

Aliases

arxiv: math/0008032 · arxiv_version: math/0008032v1 · doi: 10.48550/arxiv.math/0008032 · pith_short_12: 7UPISA3IR7IA · pith_short_16: 7UPISA3IR7IAYOSR · pith_short_8: 7UPISA3I

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/7UPISA3IR7IAYOSRJNK6O6WOEE \
  | 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: fd1e8903688fd00c3a514b55e77ace210de44d0113665e7a7ae538301fc5b6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7451c38b10a48670df7b6733c7c037f8eb2dfcdbd8b66aa3c3f27159992bb07",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-08-03T16:48:29Z",
    "title_canon_sha256": "b14d26835578938663cb75a159b802c9967b418488d4e3a83083bb29e38d2aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008032",
    "kind": "arxiv",
    "version": 1
  }
}