Pith Number

pith:PUF2WL2P

pith:2013:PUF2WL2PMWC7M7XTMS74ACFXW6

not attested not anchored not stored refs pending

On the Mar\v{c}enko-Pastur law for linear time series

Alexander Aue, Debashis Paul, Haoyang Liu

arxiv:1310.7270 v4 · 2013-10-27 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUF2WL2PMWC7M7XTMS74ACFXW6}

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	2026-05-18T02:19:43.922938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0bab2f4f6585f67ef364bfc008b7b798dd8adfe0b07cfb960ae83e1be871fe

Aliases

arxiv: 1310.7270 · arxiv_version: 1310.7270v4 · doi: 10.48550/arxiv.1310.7270 · pith_short_12: PUF2WL2PMWC7 · pith_short_16: PUF2WL2PMWC7M7XT · pith_short_8: PUF2WL2P

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/PUF2WL2PMWC7M7XTMS74ACFXW6 \
  | 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: 7d0bab2f4f6585f67ef364bfc008b7b798dd8adfe0b07cfb960ae83e1be871fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61dfbd9790a3fafbb98bbb44e7b64cdff92d71dcf0b4c23ab7dc92a0f6b80b44",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-10-27T23:14:23Z",
    "title_canon_sha256": "0e0cd74070dcde58246b30b1bc3c691fdec43fd413b407b4a81956fe9e807a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7270",
    "kind": "arxiv",
    "version": 4
  }
}