Pith Number

pith:RW2EGCXX

pith:2016:RW2EGCXX7AZREZPPMLTCQ2XO2D

not attested not anchored not stored refs pending

Estimation of low rank density matrices: bounds in Schatten norms and other distances

Dong Xia, Vladimir Koltchinskii

arxiv:1604.04600 v1 · 2016-04-15 · stat.ML · 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{RW2EGCXX7AZREZPPMLTCQ2XO2D}

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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	2026-05-18T01:17:01.723338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db4430af7f8331265ef62e6286aeed0d6de139f80766c5aac1abefed17c7603

Aliases

arxiv: 1604.04600 · arxiv_version: 1604.04600v1 · doi: 10.48550/arxiv.1604.04600 · pith_short_12: RW2EGCXX7AZR · pith_short_16: RW2EGCXX7AZREZPP · pith_short_8: RW2EGCXX

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/RW2EGCXX7AZREZPPMLTCQ2XO2D \
  | 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: 8db4430af7f8331265ef62e6286aeed0d6de139f80766c5aac1abefed17c7603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4589d11c36a37b56eb8228c579e5f08c0a1a54c520cf9117d02938841039474",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-04-15T18:56:35Z",
    "title_canon_sha256": "0f04c4de19da32d454dce30e5429c22e683251789a6179f6122e2d4b149e9484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04600",
    "kind": "arxiv",
    "version": 1
  }
}