Pith Number

pith:XR5FPPEP

pith:2014:XR5FPPEPOXU4YHUIQKW6SLKSRI

not attested not anchored not stored refs pending

Representations for generalized Drazin inverse of operator matrices over a Banach space

Daochang Zhang

arxiv:1411.2067 v1 · 2014-11-08 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XR5FPPEPOXU4YHUIQKW6SLKSRI}

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	2026-05-18T02:38:19.557515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7a57bc8f75e9cc1e8882ade92d528a21b2c3f983698298e4b14836389dfbbb

Aliases

arxiv: 1411.2067 · arxiv_version: 1411.2067v1 · doi: 10.48550/arxiv.1411.2067 · pith_short_12: XR5FPPEPOXU4 · pith_short_16: XR5FPPEPOXU4YHUI · pith_short_8: XR5FPPEP

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/XR5FPPEPOXU4YHUIQKW6SLKSRI \
  | 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: bc7a57bc8f75e9cc1e8882ade92d528a21b2c3f983698298e4b14836389dfbbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f6d235a5907da1126a7fa877c3b527b3fb40313b18ec867eb3955e937c1549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-11-08T01:27:48Z",
    "title_canon_sha256": "1359f71261c644205d518ff9b8b974e2e546a52de9cdec98d3f7c1c5f1e35bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2067",
    "kind": "arxiv",
    "version": 1
  }
}