Pith Number

pith:KMEX2THA

pith:2014:KMEX2THAXBFZ53TBFOUPMODKMI

not attested not anchored not stored refs pending

Local and global liftings of analytic families of idempotents in Banach algebras

Bernard Aupetit, Endre Makai, Jaroslav Zem\'anek, Jr., Mostafa Mbekhta

arxiv:1411.4788 v2 · 2014-11-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMEX2THAXBFZ53TBFOUPMODKMI}

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	2026-05-18T01:21:19.811543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53097d4ce0b84b9eee612ba8f6386a62285cd0f7c8d5a1334ebf4354342fa6b4

Aliases

arxiv: 1411.4788 · arxiv_version: 1411.4788v2 · doi: 10.48550/arxiv.1411.4788 · pith_short_12: KMEX2THAXBFZ · pith_short_16: KMEX2THAXBFZ53TB · pith_short_8: KMEX2THA

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/KMEX2THAXBFZ53TBFOUPMODKMI \
  | 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: 53097d4ce0b84b9eee612ba8f6386a62285cd0f7c8d5a1334ebf4354342fa6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078d8fa99ef605e0c30e10eae83eee5e70781c544b2b53e6e50fb1f8120d9709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-18T09:58:10Z",
    "title_canon_sha256": "920c53247c9cf3a9677c446a36bdc83b3c05d556cb720b91790529a3eae4f443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4788",
    "kind": "arxiv",
    "version": 2
  }
}