Pith Number

pith:VWUB44BJ

pith:2017:VWUB44BJRDJYSDLHO42FIX3OYH

not attested not anchored not stored refs pending

A Sharp Lower Bound for Mixed-membership Estimation

Jiashun Jin, Zheng Tracy Ke

arxiv:1709.05603 v1 · 2017-09-17 · 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{VWUB44BJRDJYSDLHO42FIX3OYH}

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	2026-05-18T00:35:00.159638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada81e702988d3890d677734545f6ec1e45d523a83b6847341fac5ec43f0413a

Aliases

arxiv: 1709.05603 · arxiv_version: 1709.05603v1 · doi: 10.48550/arxiv.1709.05603 · pith_short_12: VWUB44BJRDJY · pith_short_16: VWUB44BJRDJYSDLH · pith_short_8: VWUB44BJ

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/VWUB44BJRDJYSDLHO42FIX3OYH \
  | 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: ada81e702988d3890d677734545f6ec1e45d523a83b6847341fac5ec43f0413a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ed270b70e13c3b0d1255ab0ece9c2e9da06bcbcc6bda1551a20cf2f2841c67",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-09-17T03:23:43Z",
    "title_canon_sha256": "fbc3ed1a6c2c9bbd21cdc5775108c279aa089e829cae7b7e0274a485473317f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05603",
    "kind": "arxiv",
    "version": 1
  }
}