Pith Number

pith:4LWRX3LE

pith:2019:4LWRX3LETDZZQLGEW4P3BFYF72

not attested not anchored not stored refs pending

Hierarchical Low-rank Structure of Parameterized Distributions

Jun Qin, Lexing Ying

arxiv:1911.13277 v1 · 2019-11-29 · math.NA · cs.NA · 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{4LWRX3LETDZZQLGEW4P3BFYF72}

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	2026-07-05T00:22:53.578392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ed1bed6498f3982cc4b71fb09705fe93d8978689ec612644c197cad5c3a25f

Aliases

arxiv: 1911.13277 · arxiv_version: 1911.13277v1 · doi: 10.48550/arxiv.1911.13277 · pith_short_12: 4LWRX3LETDZZ · pith_short_16: 4LWRX3LETDZZQLGE · pith_short_8: 4LWRX3LE

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/4LWRX3LETDZZQLGEW4P3BFYF72 \
  | 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: e2ed1bed6498f3982cc4b71fb09705fe93d8978689ec612644c197cad5c3a25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44273a026e467ab7b33c73ee81208740a80d2d214df238bd98d8c40ed15f7d87",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-11-29T18:23:00Z",
    "title_canon_sha256": "6c8ac65aaee5413d5115dbc29d5a24e54bd57e9bcf8a90a346d7986816c31f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.13277",
    "kind": "arxiv",
    "version": 1
  }
}