Pith Number

pith:OAEV7ILR

pith:2012:OAEV7ILRUWUJVXL4GVPBAGMVP7

not attested not anchored not stored refs pending

Traces of compact operators and the noncommutative residue

Denis Potapov, Fedor Sukochev, Nigel Kalton, Steven Lord

arxiv:1210.3423 v2 · 2012-10-12 · 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{OAEV7ILRUWUJVXL4GVPBAGMVP7}

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	2026-05-18T03:38:04.770944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70095fa171a5a89add7c355e1019957fd28e83bdee7af3270bc2035a9538fd51

Aliases

arxiv: 1210.3423 · arxiv_version: 1210.3423v2 · doi: 10.48550/arxiv.1210.3423 · pith_short_12: OAEV7ILRUWUJ · pith_short_16: OAEV7ILRUWUJVXL4 · pith_short_8: OAEV7ILR

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/OAEV7ILRUWUJVXL4GVPBAGMVP7 \
  | 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: 70095fa171a5a89add7c355e1019957fd28e83bdee7af3270bc2035a9538fd51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d8b0740927d7daef649dfaf6eaead138475f74fda3e16442e9233478c8d634",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-12T02:57:59Z",
    "title_canon_sha256": "d63883ca90a59daf23ca89cb735d2db8ac8e6a88e66be8743ab0ea08edc9c9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3423",
    "kind": "arxiv",
    "version": 2
  }
}