Pith Number

pith:WAEKAMTH

pith:2012:WAEKAMTHAG2IFQTAYMAM7Y6DM5

not attested not anchored not stored refs pending

Norm-Controlled Inversion in Smooth Banach Algebras, I

Andreas Klotz, Karlheinz Gr\"ochenig

arxiv:1207.1269 v1 · 2012-07-05 · 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{WAEKAMTHAG2IFQTAYMAM7Y6DM5}

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	2026-05-18T02:47:31.715964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b008a0326701b482c260c300cfe3c36773822a066ee387d56c1af260c7e0776a

Aliases

arxiv: 1207.1269 · arxiv_version: 1207.1269v1 · doi: 10.48550/arxiv.1207.1269 · pith_short_12: WAEKAMTHAG2I · pith_short_16: WAEKAMTHAG2IFQTA · pith_short_8: WAEKAMTH

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/WAEKAMTHAG2IFQTAYMAM7Y6DM5 \
  | 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: b008a0326701b482c260c300cfe3c36773822a066ee387d56c1af260c7e0776a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc776aa96350697f55912aa3959c6df1fd018572b8bf44b31ecf699c6bc9cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-05T14:26:03Z",
    "title_canon_sha256": "08bffd2cf5136c7eed195c2980387635ed8a6c3c950246da59b907e5b8dd29e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1269",
    "kind": "arxiv",
    "version": 1
  }
}