Pith Number

pith:GYXMRUTU

pith:2012:GYXMRUTUAP7UO7G2ZNAYWFBV2P

not attested not anchored not stored refs pending

Linear preservers and representations with a 1-dimensional ring of invariants

H. Bermudez, S. Garibaldi, V. Larsen

arxiv:1204.2840 v1 · 2012-04-12 · math.RT · 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{GYXMRUTUAP7UO7G2ZNAYWFBV2P}

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	2026-05-18T02:49:30.100194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362ec8d27403ff477cdacb418b1435d3effb02da969be23418783c4a154f3d63

Aliases

arxiv: 1204.2840 · arxiv_version: 1204.2840v1 · doi: 10.48550/arxiv.1204.2840 · pith_short_12: GYXMRUTUAP7U · pith_short_16: GYXMRUTUAP7UO7G2 · pith_short_8: GYXMRUTU

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/GYXMRUTUAP7UO7G2ZNAYWFBV2P \
  | 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: 362ec8d27403ff477cdacb418b1435d3effb02da969be23418783c4a154f3d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ff1d4702881853ad32beba84641198ac24b301bf57256f91f66e42ec655704",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-12T20:53:44Z",
    "title_canon_sha256": "8304df1866dc8a9bcf334823fd8da99cc9a1eba294e2c0fe50eccfb9862a60e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2840",
    "kind": "arxiv",
    "version": 1
  }
}