Pith Number

pith:ALJ4GVNA

pith:2017:ALJ4GVNAJOMNNRLPBBKOJBI4JG

not attested not anchored not stored refs pending

How many eigenvalues of a product of truncated orthogonal matrices are real?

J. R. Ipsen, P. J. Forrester, S. Kumar

arxiv:1708.00967 v2 · 2017-08-03 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALJ4GVNAJOMNNRLPBBKOJBI4JG}

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	2026-05-18T00:37:33.292890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d3c355a04b98d6c56f0854e4851c4986c93f76bbd6300052e2cd6a0b5d480e

Aliases

arxiv: 1708.00967 · arxiv_version: 1708.00967v2 · doi: 10.48550/arxiv.1708.00967 · pith_short_12: ALJ4GVNAJOMN · pith_short_16: ALJ4GVNAJOMNNRLP · pith_short_8: ALJ4GVNA

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/ALJ4GVNAJOMNNRLPBBKOJBI4JG \
  | 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: 02d3c355a04b98d6c56f0854e4851c4986c93f76bbd6300052e2cd6a0b5d480e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81260f8adf9ba35234e8e677b9aa19748bd5a03df10768464b161ff904b3956",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-03T01:53:25Z",
    "title_canon_sha256": "fd7dd9cc2f1fa720c5b8d65bbf9b89a3a1a4e0a99d1fee5d37acb5560c1d51bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00967",
    "kind": "arxiv",
    "version": 2
  }
}