Pith Number

pith:VRXA6VRY

pith:2018:VRXA6VRYR77F5WKSG2GUENI4MU

not attested not anchored not stored refs pending

On the structure of the set of algebraic elements in a Banach algebra and their liftings

E. Makai, Jr., J. Zem\'anek

arxiv:1807.01552 v1 · 2018-07-04 · 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{VRXA6VRYR77F5WKSG2GUENI4MU}

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	2026-05-18T00:11:29.493040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6e0f56388ffe5ed952368d42351c651427422b12546d7ebc9701f301b058f7

Aliases

arxiv: 1807.01552 · arxiv_version: 1807.01552v1 · doi: 10.48550/arxiv.1807.01552 · pith_short_12: VRXA6VRYR77F · pith_short_16: VRXA6VRYR77F5WKS · pith_short_8: VRXA6VRY

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/VRXA6VRYR77F5WKSG2GUENI4MU \
  | 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: ac6e0f56388ffe5ed952368d42351c651427422b12546d7ebc9701f301b058f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383d7e0aabc5bc20dea4efa54e82157d2cf6a06ad8515a1694cc2e3b593975b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-04T13:04:20Z",
    "title_canon_sha256": "2aeab6ed6421c8741f4ca8868420f38ecda952057af49f436d7a6044c537360e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01552",
    "kind": "arxiv",
    "version": 1
  }
}