Pith Number

pith:AGICBXLS

pith:2015:AGICBXLSOBHV673GV6Y4R27AGZ

not attested not anchored not stored refs pending

Semigroups of rectangular matrices under a sandwich operation

Igor Dolinka, James East

arxiv:1503.03139 v2 · 2015-03-11 · math.GR · 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{AGICBXLSOBHV673GV6Y4R27AGZ}

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	2026-05-18T00:28:07.523737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019020dd72704f5f7f66afb1c8ebe036760b0c9cba8e98b27dd615fa557245dc

Aliases

arxiv: 1503.03139 · arxiv_version: 1503.03139v2 · doi: 10.48550/arxiv.1503.03139 · pith_short_12: AGICBXLSOBHV · pith_short_16: AGICBXLSOBHV673G · pith_short_8: AGICBXLS

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/AGICBXLSOBHV673GV6Y4R27AGZ \
  | 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: 019020dd72704f5f7f66afb1c8ebe036760b0c9cba8e98b27dd615fa557245dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0746610b814e9759464b653b3e9abcf271164aea0053664a26b9dd9f1c4582c1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-11T01:04:25Z",
    "title_canon_sha256": "bc77102969a86b3a769b2afad31c7b401d2022de06b4bd9f7998b73eb5064ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03139",
    "kind": "arxiv",
    "version": 2
  }
}