Pith Number

pith:BYX6IFGG

pith:2016:BYX6IFGGTVNKUX67TPXHYLH7BN

not attested not anchored not stored refs pending

Real eigenvalue statistics for products of asymmetric real Gaussian matrices

J. R. Ipsen, P. J. Forrester

arxiv:1608.04097 v1 · 2016-08-14 · 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{BYX6IFGGTVNKUX67TPXHYLH7BN}

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	2026-05-18T01:09:04.267763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2fe414c69d5aaa5fdf9bee7c2cff0b4b7c269e15227a0d3b689487cca29283

Aliases

arxiv: 1608.04097 · arxiv_version: 1608.04097v1 · doi: 10.48550/arxiv.1608.04097 · pith_short_12: BYX6IFGGTVNK · pith_short_16: BYX6IFGGTVNKUX67 · pith_short_8: BYX6IFGG

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/BYX6IFGGTVNKUX67TPXHYLH7BN \
  | 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: 0e2fe414c69d5aaa5fdf9bee7c2cff0b4b7c269e15227a0d3b689487cca29283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c086dda5fd2aed3a757057d423d8abc9e764c6e8dbdb499fb925dd55c79c87b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-14T12:57:14Z",
    "title_canon_sha256": "1d15153efba454c16274825862b6d06065380091e98515ec452367c6df2b54c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04097",
    "kind": "arxiv",
    "version": 1
  }
}