Pith Number

pith:UHI7OINC

pith:2013:UHI7OINC5OJLDHDCYQUGL7SFHW

not attested not anchored not stored refs pending

On the spectral properties of a class of $H$-selfadjoint random matrices and the underlying combinatorics

Michal Wojtylak, Patryk Pagacz

arxiv:1310.2122 v1 · 2013-10-08 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHI7OINC5OJLDHDCYQUGL7SFHW}

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	2026-05-18T03:10:59.273980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d1f721a2eb92b19c62c42865fe453db1ea59d143be3688135da8ff5deb5ee2

Aliases

arxiv: 1310.2122 · arxiv_version: 1310.2122v1 · doi: 10.48550/arxiv.1310.2122 · pith_short_12: UHI7OINC5OJL · pith_short_16: UHI7OINC5OJLDHDC · pith_short_8: UHI7OINC

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/UHI7OINC5OJLDHDCYQUGL7SFHW \
  | 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: a1d1f721a2eb92b19c62c42865fe453db1ea59d143be3688135da8ff5deb5ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd362ee2888714caf0e14e5f9e01ce391ceb8b4d259a2198c57d7196472ed024",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-08T13:06:16Z",
    "title_canon_sha256": "94e64c3629064a704f02ab11278378b00c579e2edd7f2dcc12f4b61bfd9fd336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2122",
    "kind": "arxiv",
    "version": 1
  }
}