Pith Number

pith:FEBKQMZY

pith:2019:FEBKQMZYDPUDBCKFXTZZA6JFOK

not attested not anchored not stored refs pending

Concentration of the matrix-valued minimum mean-square error in optimal Bayesian inference

Jean Barbier

arxiv:1907.07103 v1 · 2019-07-15 · cs.IT · cs.LG · eess.SP · math.IT · 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{FEBKQMZYDPUDBCKFXTZZA6JFOK}

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	2026-05-17T23:40:28.081636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2902a833381be8308945bcf390792572ac41ca48989c257b6f03e38afe1282e8

Aliases

arxiv: 1907.07103 · arxiv_version: 1907.07103v1 · doi: 10.48550/arxiv.1907.07103 · pith_short_12: FEBKQMZYDPUD · pith_short_16: FEBKQMZYDPUDBCKF · pith_short_8: FEBKQMZY

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/FEBKQMZYDPUDBCKFXTZZA6JFOK \
  | 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: 2902a833381be8308945bcf390792572ac41ca48989c257b6f03e38afe1282e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed315d41ea7f29a4e8ddb3e980b45d27358f33d2a413fa226a59106190689ce",
    "cross_cats_sorted": [
      "cs.LG",
      "eess.SP",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-07-15T16:18:09Z",
    "title_canon_sha256": "e177caac06d86d67987f18ae52d5661d20bd5ba569be7a47a1932808f00dee2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07103",
    "kind": "arxiv",
    "version": 1
  }
}