Pith Number

pith:AXG3MX7X

pith:2000:AXG3MX7X5KULLMWYLK6J5AETGH

not attested not anchored not stored refs pending

Remarks on the similarity degree of an operator algebra

Gilles Pisier

arxiv:math/0009052 v2 · 2000-09-06 · 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{AXG3MX7X5KULLMWYLK6J5AETGH}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:41.074040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05cdb65ff7eaa8b5b2d85abc9e809331c3bd8a27ff23584c42a3913f843979e4

Aliases

arxiv: math/0009052 · arxiv_version: math/0009052v2 · doi: 10.48550/arxiv.math/0009052 · pith_short_12: AXG3MX7X5KUL · pith_short_16: AXG3MX7X5KULLMWY · pith_short_8: AXG3MX7X

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/AXG3MX7X5KULLMWYLK6J5AETGH \
  | 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: 05cdb65ff7eaa8b5b2d85abc9e809331c3bd8a27ff23584c42a3913f843979e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34534e019966082744fc213e89132fee24d1a5c337e9788257ed730d7d453359",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2000-09-06T14:06:32Z",
    "title_canon_sha256": "fb106d0a3dd11c9dabb6ce0153390e533067ea1a2bdc6a1e921e44b6ab233167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009052",
    "kind": "arxiv",
    "version": 2
  }
}