Pith Number

pith:QWKHB75U

pith:2013:QWKHB75U27GR2OUY755WVIS7OL

not attested not anchored not stored refs pending

On the number of real eigenvalues of products of random matrices and an application to quantum entanglement

Arul Lakshminarayan

arxiv:1301.7601 v2 · 2013-01-31 · math-ph · cond-mat.dis-nn · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWKHB75U27GR2OUY755WVIS7OL}

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	2026-05-18T03:22:17.099651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859470ffb4d7cd1d3a98ff7b6aa25f72e8cd16b54ad5b0a6f9d141a776b2903d

Aliases

arxiv: 1301.7601 · arxiv_version: 1301.7601v2 · doi: 10.48550/arxiv.1301.7601 · pith_short_12: QWKHB75U27GR · pith_short_16: QWKHB75U27GR2OUY · pith_short_8: QWKHB75U

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/QWKHB75U27GR2OUY755WVIS7OL \
  | 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: 859470ffb4d7cd1d3a98ff7b6aa25f72e8cd16b54ad5b0a6f9d141a776b2903d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191e125cf256ce9f98fa6b77047a2db19f249b4e4198053e6659c2ceeaaa0f2b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-31T12:56:19Z",
    "title_canon_sha256": "53896612459856fde218efa3f7b85d6e8629003420498f138f63ab34450419ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7601",
    "kind": "arxiv",
    "version": 2
  }
}