Pith Number

pith:3D74EPF4

pith:2014:3D74EPF4BCX7YJ6JTFCNNMJ2Z3

not attested not anchored not stored refs pending

Closed ideals with bounded $\Delta$-weak approximate identities in some certain Banach algebras

Javad Laali, Mohammad Fozouni

arxiv:1410.5159 v2 · 2014-10-20 · 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{3D74EPF4BCX7YJ6JTFCNNMJ2Z3}

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	2026-05-18T01:21:37.872910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ffc23cbc08affc27c99944d6b13acec99c708f10e0a31bb6ccfba61cc2ab1d

Aliases

arxiv: 1410.5159 · arxiv_version: 1410.5159v2 · doi: 10.48550/arxiv.1410.5159 · pith_short_12: 3D74EPF4BCX7 · pith_short_16: 3D74EPF4BCX7YJ6J · pith_short_8: 3D74EPF4

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/3D74EPF4BCX7YJ6JTFCNNMJ2Z3 \
  | 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: d8ffc23cbc08affc27c99944d6b13acec99c708f10e0a31bb6ccfba61cc2ab1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4807e19a18ef515b690739465d46cd0acaef2c331eddb60da3ad7b182f88f286",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-20T06:05:53Z",
    "title_canon_sha256": "470cf28dbd03e265da638e0397e2a63e369603a8e1965d3ce1df7a00a4aaff74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5159",
    "kind": "arxiv",
    "version": 2
  }
}