Pith Number

pith:DGZVFFFL

pith:2016:DGZVFFFLIVWPJ55D3WWULMPPLT

not attested not anchored not stored refs pending

An elementary inductive proof that $AB=I$ implies $BA=I$ for matrices

J. M. Almira

arxiv:1608.08964 v1 · 2016-08-31 · 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{DGZVFFFLIVWPJ55D3WWULMPPLT}

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	2026-05-18T01:06:39.553965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b35294ab456cf4f7a3ddad45b1ef5cda3806d4f93f1449c7b4990a5de618e1

Aliases

arxiv: 1608.08964 · arxiv_version: 1608.08964v1 · doi: 10.48550/arxiv.1608.08964 · pith_short_12: DGZVFFFLIVWP · pith_short_16: DGZVFFFLIVWPJ55D · pith_short_8: DGZVFFFL

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/DGZVFFFLIVWPJ55D3WWULMPPLT \
  | 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: 19b35294ab456cf4f7a3ddad45b1ef5cda3806d4f93f1449c7b4990a5de618e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72ecd0fce5534f934d8f94c0ea1c39c609443fcfc85c020184a0da3dee2f6a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-31T17:44:49Z",
    "title_canon_sha256": "51900a28bdc14a1362ec2763bf55e38988cd113b17a0a46dc4b31fa522fc6471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08964",
    "kind": "arxiv",
    "version": 1
  }
}