Pith Number

pith:HYCGFO73

pith:2011:HYCGFO73MDKXJLAJYUGNYMQCIV

not attested not anchored not stored refs pending

Reproductive and non-reproductive solutions of the matrix equation AXB=C

Biljana Radicic, Branko Malesevic

arxiv:1108.4867 v5 · 2011-08-24 · math.RA · 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{HYCGFO73MDKXJLAJYUGNYMQCIV}

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	2026-05-18T03:48:34.157257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0462bbfb60d574ac09c50cdc32024562f3b83cb80e7d5dbf761fb3654a4595

Aliases

arxiv: 1108.4867 · arxiv_version: 1108.4867v5 · doi: 10.48550/arxiv.1108.4867 · pith_short_12: HYCGFO73MDKX · pith_short_16: HYCGFO73MDKXJLAJ · pith_short_8: HYCGFO73

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/HYCGFO73MDKXJLAJYUGNYMQCIV \
  | 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: 3e0462bbfb60d574ac09c50cdc32024562f3b83cb80e7d5dbf761fb3654a4595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec1ca89ae3a19ede1728f45b5330ff499576b830ff0864e261cd44a4e62744b",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-24T15:42:03Z",
    "title_canon_sha256": "b227027578cdc96a7a6b19dc6e16800a37ac102aeaffecfe5b70ef026cc293d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4867",
    "kind": "arxiv",
    "version": 5
  }
}