Pith Number

pith:27OENFWS

pith:2018:27OENFWSBVDMAJLESZ47OTR3EH

not attested not anchored not stored refs pending

On the Associativity of Infinite Matrix Multiplication

Daniel P. Bossaller, Sergio R. L\'opez-Permouth

arxiv:1803.09779 v2 · 2018-03-26 · 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{27OENFWSBVDMAJLESZ47OTR3EH}

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	2026-05-18T00:19:50.341952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dc4696d20d46c025649679f74e3b21d5d5aa8af15834af36bc0cd590ca78b7

Aliases

arxiv: 1803.09779 · arxiv_version: 1803.09779v2 · doi: 10.48550/arxiv.1803.09779 · pith_short_12: 27OENFWSBVDM · pith_short_16: 27OENFWSBVDMAJLE · pith_short_8: 27OENFWS

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/27OENFWSBVDMAJLESZ47OTR3EH \
  | 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: d7dc4696d20d46c025649679f74e3b21d5d5aa8af15834af36bc0cd590ca78b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a7661c0e51afc3f9147be0ef73f7cb46d08d6d913e35e378b3c16c73fedb12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-03-26T18:29:54Z",
    "title_canon_sha256": "3c463f03a9e813c2e3d9b00bca5f9f313c42d7b3c99f366c19f709673c7a3fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09779",
    "kind": "arxiv",
    "version": 2
  }
}