Pith Number

pith:A6NEQQY2

pith:2004:A6NEQQY24JFEPBAUNKPQK5XH2I

not attested not anchored not stored refs pending

A classification for 2-isometries of noncommutative Lp-spaces

David Sherman, Marius Junge, Zhong-Jin Ruan

arxiv:math/0402181 v1 · 2004-02-11 · 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{A6NEQQY24JFEPBAUNKPQK5XH2I}

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	2026-07-04T14:38:14.054578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079a48431ae24a4784146a9f0576e7d206aa40bed8313b8d657291a30d923ac0

Aliases

arxiv: math/0402181 · arxiv_version: math/0402181v1 · doi: 10.48550/arxiv.math/0402181 · pith_short_12: A6NEQQY24JFE · pith_short_16: A6NEQQY24JFEPBAU · pith_short_8: A6NEQQY2

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/A6NEQQY24JFEPBAUNKPQK5XH2I \
  | 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: 079a48431ae24a4784146a9f0576e7d206aa40bed8313b8d657291a30d923ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d5a456baf59f0c6bb3c6c52497ac7de05b146aa49c6b26c4a46ae9018a70b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-02-11T20:06:10Z",
    "title_canon_sha256": "e0a9d7bdfa4995cfa260d2e99e137492ba1bf89f2c9b30afd6e56fa16dd24a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402181",
    "kind": "arxiv",
    "version": 1
  }
}