Pith Number

pith:TT4GP5EP

pith:2019:TT4GP5EPCYQWFRWLJFTOPVHSNH

not attested not anchored not stored refs pending

The minimum mean square estimator of integrable variables under sublinear operators

Chuanfeng Sun, Chuiliu Kong, Shaolin Ji

arxiv:1903.02404 v1 · 2019-03-05 · 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{TT4GP5EPCYQWFRWLJFTOPVHSNH}

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	2026-05-17T23:51:55.405203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf867f48f162162c6cb4966e7d4f269fb889f3b679926868497e9cc8ea37583

Aliases

arxiv: 1903.02404 · arxiv_version: 1903.02404v1 · doi: 10.48550/arxiv.1903.02404 · pith_short_12: TT4GP5EPCYQW · pith_short_16: TT4GP5EPCYQWFRWL · pith_short_8: TT4GP5EP

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/TT4GP5EPCYQWFRWLJFTOPVHSNH \
  | 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: 9cf867f48f162162c6cb4966e7d4f269fb889f3b679926868497e9cc8ea37583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165f653f4de05687b69e4988a00ef5e1cffb83602383993f106fbd1d2d7d9981",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-05T10:55:17Z",
    "title_canon_sha256": "b30992209badd541c9c893f353dd38a196472508dfdcbd438b7706ebcadefb2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02404",
    "kind": "arxiv",
    "version": 1
  }
}