Pith Number

pith:C4HCIG2N

pith:2018:C4HCIG2NUJD76LJYVC3BONWJTX

not attested not anchored not stored refs pending

On the generalized Drazin inverse of the sum in a Banach algebra

Daochang Zhang, Dijana Mosic

arxiv:1803.01083 v1 · 2018-03-03 · 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{C4HCIG2NUJD76LJYVC3BONWJTX}

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	2026-05-18T00:22:01.808083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170e241b4da247ff2d38a8b61736c99dfad7daccfc8d0a3c44946894130eaa35

Aliases

arxiv: 1803.01083 · arxiv_version: 1803.01083v1 · doi: 10.48550/arxiv.1803.01083 · pith_short_12: C4HCIG2NUJD7 · pith_short_16: C4HCIG2NUJD76LJY · pith_short_8: C4HCIG2N

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/C4HCIG2NUJD76LJYVC3BONWJTX \
  | 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: 170e241b4da247ff2d38a8b61736c99dfad7daccfc8d0a3c44946894130eaa35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698f78a58b4845a4a17e39c67b71aab9bd9964a0d6408ea23d53b6306454b61b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-03T00:36:05Z",
    "title_canon_sha256": "a57b9749e7060b3f95bcc3f9261bfa156a02063ec21f5d3779cd47ca6db3c320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01083",
    "kind": "arxiv",
    "version": 1
  }
}