Pith Number

pith:4VBCFT4J

pith:2023:4VBCFT4JIXTGC3PNNYWRYHCJMQ

not attested not anchored not stored refs pending

Asymptotics of Distances Between Sample Covariance Matrices

David Gregoratti, Roberto Pereira, Xavier Mestre

arxiv:2312.14584 v1 · 2023-12-22 · math.ST · eess.SP · 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{4VBCFT4JIXTGC3PNNYWRYHCJMQ}

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	2026-07-05T07:27:17.332452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54222cf8945e6616ded6e2d1c1c496412fc97aefe139478fd8d2e0d47bfd0a4

Aliases

arxiv: 2312.14584 · arxiv_version: 2312.14584v1 · doi: 10.48550/arxiv.2312.14584 · pith_short_12: 4VBCFT4JIXTG · pith_short_16: 4VBCFT4JIXTGC3PN · pith_short_8: 4VBCFT4J

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/4VBCFT4JIXTGC3PNNYWRYHCJMQ \
  | 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: e54222cf8945e6616ded6e2d1c1c496412fc97aefe139478fd8d2e0d47bfd0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601c9af5c79543f093dc4dc4e80c578031e03c8bea4206e4b64be4f71222dd01",
    "cross_cats_sorted": [
      "eess.SP",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-12-22T10:21:50Z",
    "title_canon_sha256": "313374ba7872287245ef2592be69bf7ca70634dd63528d1fc37dcb1ded4a9b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14584",
    "kind": "arxiv",
    "version": 1
  }
}