Pith Number

pith:O52UEEPJ

pith:2016:O52UEEPJQLQY7VZSAE5ELTZYQT

not attested not anchored not stored refs pending

On the dimension of the algebra generated by two positive semi-commuting matrices

Klemen \v{S}ivic, Marko Kandi\'c

arxiv:1603.08413 v2 · 2016-03-04 · math.RA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O52UEEPJQLQY7VZSAE5ELTZYQT}

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	2026-05-18T01:12:01.434926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77754211e982e18fd732013a45cf3884db581057c01863e2bd0edf28db59d2e4

Aliases

arxiv: 1603.08413 · arxiv_version: 1603.08413v2 · doi: 10.48550/arxiv.1603.08413 · pith_short_12: O52UEEPJQLQY · pith_short_16: O52UEEPJQLQY7VZS · pith_short_8: O52UEEPJ

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/O52UEEPJQLQY7VZSAE5ELTZYQT \
  | 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: 77754211e982e18fd732013a45cf3884db581057c01863e2bd0edf28db59d2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c8065a5ede5be22d03a8f7e22201f52a3d63bb4fb1e1370c8fef5e25934a5f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-04T12:35:15Z",
    "title_canon_sha256": "6dfa905e178b9bbb0fef05aece552b173598537f005998d3d030187116b66de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08413",
    "kind": "arxiv",
    "version": 2
  }
}