Pith Number

pith:Y6N2REYL

pith:2011:Y6N2REYLC5QHG5IYCHDNH2P6IA

not attested not anchored not stored refs pending

Limiting spectral distribution of sample autocovariance matrices

Anirban Basak, Arup Bose, Sanchayan Sen

arxiv:1108.3147 v3 · 2011-08-16 · 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{Y6N2REYLC5QHG5IYCHDNH2P6IA}

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	2026-05-18T02:48:27.591755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79ba8930b176073751811c6d3e9fe4018b2007122c61061f25fc2d66eb6ff10

Aliases

arxiv: 1108.3147 · arxiv_version: 1108.3147v3 · doi: 10.48550/arxiv.1108.3147 · pith_short_12: Y6N2REYLC5QH · pith_short_16: Y6N2REYLC5QHG5IY · pith_short_8: Y6N2REYL

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/Y6N2REYLC5QHG5IYCHDNH2P6IA \
  | 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: c79ba8930b176073751811c6d3e9fe4018b2007122c61061f25fc2d66eb6ff10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7dc169e1a0a5c452251bee7eeb234813ac770f409d5d9d28584e849b4413b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-16T03:37:16Z",
    "title_canon_sha256": "f1510c468b7476d6cd5868a73f677dbd951cc74b29678ffb6be2785a8ce0566b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3147",
    "kind": "arxiv",
    "version": 3
  }
}