Pith Number

pith:ZUJABDW6

pith:2017:ZUJABDW6PAC5YCPCFKIUMVUNWP

not attested not anchored not stored refs pending

A Short and Elementary Proof of the Two-sidedness of the Matrix-Inverse

Pietro Paparella

arxiv:1709.03382 v1 · 2017-09-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUJABDW6PAC5YCPCFKIUMVUNWP}

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	2026-05-18T00:08:15.950114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd12008ede7805dc09e22a9146568db3ff1fda90588c23cce16301ebc9d79798

Aliases

arxiv: 1709.03382 · arxiv_version: 1709.03382v1 · doi: 10.48550/arxiv.1709.03382 · pith_short_12: ZUJABDW6PAC5 · pith_short_16: ZUJABDW6PAC5YCPC · pith_short_8: ZUJABDW6

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/ZUJABDW6PAC5YCPCFKIUMVUNWP \
  | 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: cd12008ede7805dc09e22a9146568db3ff1fda90588c23cce16301ebc9d79798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be44e3c9ca7b9612faa0e7daa14514ec579032b4bab10ce63962406be3d30d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-09-05T19:50:01Z",
    "title_canon_sha256": "f896bd699b4f80a3cceab7ba7c0f4dd525a5be71cd4c13353f61e629b82b5415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03382",
    "kind": "arxiv",
    "version": 1
  }
}