Pith Number

pith:KFKLQTAJ

pith:2010:KFKLQTAJMFGHDMYDMLBSTMTY7A

not attested not anchored not stored refs pending

Operator algebras with contractive approximate identities

Charles John Read, David P. Blecher

arxiv:1011.3797 v2 · 2010-11-16 · math.OA · math-ph · math.FA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFKLQTAJMFGHDMYDMLBSTMTY7A}

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	2026-05-18T04:28:19.880357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5154b84c09614c71b30362c329b278f81d063af793e084ae6f91e14bbc584305

Aliases

arxiv: 1011.3797 · arxiv_version: 1011.3797v2 · doi: 10.48550/arxiv.1011.3797 · pith_short_12: KFKLQTAJMFGH · pith_short_16: KFKLQTAJMFGHDMYD · pith_short_8: KFKLQTAJ

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/KFKLQTAJMFGHDMYDMLBSTMTY7A \
  | 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: 5154b84c09614c71b30362c329b278f81d063af793e084ae6f91e14bbc584305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92dee8f309d67a25a96fa6359037fa8e0a95f541d86019c9d422778b4644529c",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-11-16T19:42:29Z",
    "title_canon_sha256": "7dfda2ef601d6797984ffedf57ceaaeb642bfafe5a12b87a1b233916f04d4a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3797",
    "kind": "arxiv",
    "version": 2
  }
}