Pith Number

pith:UJNSCXS7

pith:2021:UJNSCXS7RSYON2TSA3VXKFRJIG

not attested not anchored not stored refs pending

Limiting Spectral Distributions of Families of Block Matrix Ensembles

Alexander Shashkov, Faye Jackson, Henry L. Fleischmann, Luke Reifenberg, Simran Khunger, Stephen Willis, Steven J. Miller, Teresa Dunn

arxiv:2109.01464 v1 · 2021-09-03 · 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{UJNSCXS7RSYON2TSA3VXKFRJIG}

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	2026-07-05T04:32:37.532962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25b215e5f8cb0e6ea7206eb751629418b9712096e99dd593d2da017f686cbf4

Aliases

arxiv: 2109.01464 · arxiv_version: 2109.01464v1 · doi: 10.48550/arxiv.2109.01464 · pith_short_12: UJNSCXS7RSYO · pith_short_16: UJNSCXS7RSYON2TS · pith_short_8: UJNSCXS7

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/UJNSCXS7RSYON2TSA3VXKFRJIG \
  | 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: a25b215e5f8cb0e6ea7206eb751629418b9712096e99dd593d2da017f686cbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabdfb0d87a9c31d2694412d2025b8696530ffa4989dafa4e434898c695a73ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-09-03T11:53:36Z",
    "title_canon_sha256": "ca793edd360a5e692d7102ded3258629cd7aac30a97d8a9580393bf231e440b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01464",
    "kind": "arxiv",
    "version": 1
  }
}