Pith Number

pith:F5DCHTHZ

pith:2013:F5DCHTHZRMV3LRBPUQYBPYRGSQ

not attested not anchored not stored refs pending

Factorizations of EP Banach space operators and EP Banach algebra elements

Enrico Boasso

arxiv:1306.4093 v1 · 2013-06-18 · 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{F5DCHTHZRMV3LRBPUQYBPYRGSQ}

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	2026-05-18T03:20:44.373703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4623ccf98b2bb5c42fa43017e22694232ef57d39756240484bd0229afed791

Aliases

arxiv: 1306.4093 · arxiv_version: 1306.4093v1 · doi: 10.48550/arxiv.1306.4093 · pith_short_12: F5DCHTHZRMV3 · pith_short_16: F5DCHTHZRMV3LRBP · pith_short_8: F5DCHTHZ

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/F5DCHTHZRMV3LRBPUQYBPYRGSQ \
  | 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: 2f4623ccf98b2bb5c42fa43017e22694232ef57d39756240484bd0229afed791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e13f5cca4af32b3d1bb7a11aa264cb69381b41069ec0b43e0566aaed6be5ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-18T08:02:49Z",
    "title_canon_sha256": "26a2e70a20a712107507ae302cb9147fc67d09b53e142e4ae3d215ce08eac31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4093",
    "kind": "arxiv",
    "version": 1
  }
}