Pith Number

pith:WCAVETB2

pith:2015:WCAVETB25RWKXDD4H47JULDHKR

not attested not anchored not stored refs pending

Triviality of the generalized Lau product associated to a Banach algebra homomorphism

Yemon Choi

arxiv:1511.07868 v3 · 2015-11-24 · 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{WCAVETB25RWKXDD4H47JULDHKR}

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	2026-05-18T00:53:40.470276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b081524c3aec6cab8c7c3f3e9a2c67545167f93f06dfaff4c0bc696e2090579e

Aliases

arxiv: 1511.07868 · arxiv_version: 1511.07868v3 · doi: 10.48550/arxiv.1511.07868 · pith_short_12: WCAVETB25RWK · pith_short_16: WCAVETB25RWKXDD4 · pith_short_8: WCAVETB2

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/WCAVETB25RWKXDD4H47JULDHKR \
  | 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: b081524c3aec6cab8c7c3f3e9a2c67545167f93f06dfaff4c0bc696e2090579e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff162ea593900434e81de015fe7bbd12a705a8015a8160db7aa6e9f0a5f87f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-24T23:02:38Z",
    "title_canon_sha256": "fa071723d44067d3353b5f96e9a52f7dc637172aa981d0b90f2718105646ebd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07868",
    "kind": "arxiv",
    "version": 3
  }
}