Pith Number

pith:I5U57LQ2

pith:2011:I5U57LQ2OPCNTWIC2C2353GKYQ

not attested not anchored not stored refs pending

Covariance matrix estimation for stationary time series

Han Xiao, Wei Biao Wu

arxiv:1105.4563 v2 · 2011-05-23 · 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{I5U57LQ2OPCNTWIC2C2353GKYQ}

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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	2026-05-18T02:21:50.067222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4769dfae1a73c4d9d902d0b5beeccac43ce725b147438154e7fcf8b67d01cd25

Aliases

arxiv: 1105.4563 · arxiv_version: 1105.4563v2 · doi: 10.48550/arxiv.1105.4563 · pith_short_12: I5U57LQ2OPCN · pith_short_16: I5U57LQ2OPCNTWIC · pith_short_8: I5U57LQ2

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/I5U57LQ2OPCNTWIC2C2353GKYQ \
  | 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: 4769dfae1a73c4d9d902d0b5beeccac43ce725b147438154e7fcf8b67d01cd25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00e39c1d259a0413dd29d1a97be40c1dcf45d57a9a214930dc477a639755f41",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-05-23T17:10:09Z",
    "title_canon_sha256": "78dc0977604fb2914eeb4a652d2bb70abe96fe881993f7515a5576e26d63ef88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4563",
    "kind": "arxiv",
    "version": 2
  }
}