Pith Number

pith:DXIG6PSU

pith:2024:DXIG6PSUW3QOIRJQ2MXORHZ6ZI

not attested not anchored not stored refs pending

Entrywise application of non-linear functions on orthogonally invariant matrices

Alexander Wendel, Roland Speicher

arxiv:2412.06943 v1 · 2024-12-09 · math.SP · cond-mat.stat-mech · cs.LG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXIG6PSUW3QOIRJQ2MXORHZ6ZI}

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	2026-07-05T09:47:38.423113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd06f3e54b6e0e44530d32ee89f3eca051fd214a17b9edbad493b71419b4c97

Aliases

arxiv: 2412.06943 · arxiv_version: 2412.06943v1 · doi: 10.48550/arxiv.2412.06943 · pith_short_12: DXIG6PSUW3QO · pith_short_16: DXIG6PSUW3QOIRJQ · pith_short_8: DXIG6PSU

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/DXIG6PSUW3QOIRJQ2MXORHZ6ZI \
  | 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: 1dd06f3e54b6e0e44530d32ee89f3eca051fd214a17b9edbad493b71419b4c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199bfec2a266fe4c54531bc019e9640112a7b89955c2283d2facfc7a266017d9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-09T19:41:09Z",
    "title_canon_sha256": "83f732b59b6030a3639e6cec87340892d0e1658230275b441e8233da41786dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06943",
    "kind": "arxiv",
    "version": 1
  }
}