Pith Number

pith:ZNYY33NB

pith:2017:ZNYY33NBSYFXUMWQUUCYRH75YY

not attested not anchored not stored refs pending

Zero Lie product determined Banach algebras, II

A. R. Villena, J. Alaminos, J. Extremera, M. Bresar

arxiv:1709.09432 v1 · 2017-09-27 · 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{ZNYY33NBSYFXUMWQUUCYRH75YY}

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	2026-05-18T00:34:11.772233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb718deda1960b7a32d0a505889ffdc6103e4f1b1439be57dcc390d53c304d84

Aliases

arxiv: 1709.09432 · arxiv_version: 1709.09432v1 · doi: 10.48550/arxiv.1709.09432 · pith_short_12: ZNYY33NBSYFX · pith_short_16: ZNYY33NBSYFXUMWQ · pith_short_8: ZNYY33NB

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/ZNYY33NBSYFXUMWQUUCYRH75YY \
  | 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: cb718deda1960b7a32d0a505889ffdc6103e4f1b1439be57dcc390d53c304d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a5549aaa87830a2733662ae68f5a53fac8833f1e378aa4d49560bda7611323",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-27T10:17:25Z",
    "title_canon_sha256": "a51b4c017816d6cb02cb66ccfab0e9a2cf8c1371e1db45153f52b04fc451f8da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09432",
    "kind": "arxiv",
    "version": 1
  }
}