Pith Number

pith:HQT4T3UX

pith:2009:HQT4T3UXDY4N6JZMVO3PXT4DUQ

not attested not anchored not stored refs pending

The Drazin inverse of the linear combinations of two idempotents in the Banach algebras

Wu Junde, Zhang Shifang

arxiv:0906.1406 v3 · 2009-06-08 · math.FA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQT4T3UXDY4N6JZMVO3PXT4DUQ}

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	2026-05-18T00:31:05.870831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c27c9ee971e38df272cabb6fbcf83a4004adc86ae168305a80485ea922cf5b6

Aliases

arxiv: 0906.1406 · arxiv_version: 0906.1406v3 · doi: 10.48550/arxiv.0906.1406 · pith_short_12: HQT4T3UXDY4N · pith_short_16: HQT4T3UXDY4N6JZM · pith_short_8: HQT4T3UX

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/HQT4T3UXDY4N6JZMVO3PXT4DUQ \
  | 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: 3c27c9ee971e38df272cabb6fbcf83a4004adc86ae168305a80485ea922cf5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d370e39ef31b97e257d8dc6dbd92e3e49e19c67da21f43da126251c999949ff5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-08T02:58:56Z",
    "title_canon_sha256": "974856a8b82e654620c62e8f310e62ce0dfeec6a9f87a2a995f334b57971aa11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1406",
    "kind": "arxiv",
    "version": 3
  }
}