Pith Number

pith:4ZWZWPDG

pith:2015:4ZWZWPDGRWUOCME37EAMUACOBB

not attested not anchored not stored refs pending

Reducibility of Matrix Weights

Ignacio Zurri\'an, Juan Tirao

arxiv:1501.04059 v5 · 2015-01-14 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZWZWPDGRWUOCME37EAMUACOBB}

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	2026-05-18T01:00:46.334912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66d9b3c668da8e1309bf900ca004e085bc8cc22c88817e8b72a8f0219c94c8a

Aliases

arxiv: 1501.04059 · arxiv_version: 1501.04059v5 · doi: 10.48550/arxiv.1501.04059 · pith_short_12: 4ZWZWPDGRWUO · pith_short_16: 4ZWZWPDGRWUOCME3 · pith_short_8: 4ZWZWPDG

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/4ZWZWPDGRWUOCME37EAMUACOBB \
  | 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: e66d9b3c668da8e1309bf900ca004e085bc8cc22c88817e8b72a8f0219c94c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd3187518c22ebb2680334ed393d4520fe81b380968ec265a88285999d50d17",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-14T18:12:16Z",
    "title_canon_sha256": "5fc4db5d0d5eefb0802e9831b40066b13570002ba54f55f8ab1c8c1ee5270f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04059",
    "kind": "arxiv",
    "version": 5
  }
}