Pith Number

pith:B2ACGRC3

pith:2013:B2ACGRC3QW2KYRTVHPOYBM2DOV

not attested not anchored not stored refs pending

Additive Property of Drazin Invertibility of Elements

Huihui Zhu, Jianlong Chen, Long Wang, Xia Zhu

arxiv:1307.3816 v1 · 2013-07-15 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2ACGRC3QW2KYRTVHPOYBM2DOV}

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	2026-05-18T03:18:27.831253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8023445b85b4ac46753bdd80b34375534c37a26e8fa0d222254dbc8f4fa6c3

Aliases

arxiv: 1307.3816 · arxiv_version: 1307.3816v1 · doi: 10.48550/arxiv.1307.3816 · pith_short_12: B2ACGRC3QW2K · pith_short_16: B2ACGRC3QW2KYRTV · pith_short_8: B2ACGRC3

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/B2ACGRC3QW2KYRTVHPOYBM2DOV \
  | 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: 0e8023445b85b4ac46753bdd80b34375534c37a26e8fa0d222254dbc8f4fa6c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef00e67f21745d13be3de7a2a63de337eeb8efe8f02568fd08af00c2da1b98c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-15T04:26:03Z",
    "title_canon_sha256": "f2c69777527cd14746dd54dea88139f6fabc50fac3313468fe165490f7738462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3816",
    "kind": "arxiv",
    "version": 1
  }
}