Pith Number

pith:MDVSL624

pith:2026:MDVSL624V2LL4QFEVHQPC2S2XO

not attested not anchored not stored refs pending

Trace-norm rigidity for reduced products of unitary groups and matrix algebras

Andreas Thom, Ben De Bondt

arxiv:2607.19556 v1 · 2026-07-21 · math.OA · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDVSL624V2LL4QFEVHQPC2S2XO}

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	2026-07-23T00:23:56.422749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60eb25fb5cae96be40a4a9e0f16a5abb843f25d50b07e478eecbe29bbb4a227f

Aliases

arxiv: 2607.19556 · arxiv_version: 2607.19556v1 · doi: 10.48550/arxiv.2607.19556 · pith_short_12: MDVSL624V2LL · pith_short_16: MDVSL624V2LL4QFE · pith_short_8: MDVSL624

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/MDVSL624V2LL4QFEVHQPC2S2XO \
  | 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: 60eb25fb5cae96be40a4a9e0f16a5abb843f25d50b07e478eecbe29bbb4a227f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b3b4dcff16b52e3cb655cc934111af83b9f57c36a52dc2e7cdaf6a5f6ec6da",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-21T20:26:14Z",
    "title_canon_sha256": "069ebc7ca798423c32b79990713aa0d968c15959dce032528d3e3e82a73f7f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19556",
    "kind": "arxiv",
    "version": 1
  }
}