Pith Number

pith:IXJ6RNDJ

pith:2016:IXJ6RNDJFCLHZHZIZSR46XS22K

not attested not anchored not stored refs pending

The Moore-Penrose inverse in rings with involution

Jianlong Chen, Sanzhang Xu

arxiv:1601.07685 v1 · 2016-01-28 · 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{IXJ6RNDJFCLHZHZIZSR46XS22K}

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	2026-05-18T01:21:42.410132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d3e8b46928967c9f28cca3cf5e5ad29f47772c2eace62b86285c3626dd1a98

Aliases

arxiv: 1601.07685 · arxiv_version: 1601.07685v1 · doi: 10.48550/arxiv.1601.07685 · pith_short_12: IXJ6RNDJFCLH · pith_short_16: IXJ6RNDJFCLHZHZI · pith_short_8: IXJ6RNDJ

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/IXJ6RNDJFCLHZHZIZSR46XS22K \
  | 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: 45d3e8b46928967c9f28cca3cf5e5ad29f47772c2eace62b86285c3626dd1a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc1dfba7b994160638692ca0b0bed85adf517cba731ee47a7ca5653d3e1affb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-28T08:23:08Z",
    "title_canon_sha256": "63846299ca48e98ceb216de704c0efed89169e01c207975e73c097f4ca6f8c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07685",
    "kind": "arxiv",
    "version": 1
  }
}