Pith Number

pith:ZWXCCFYJ

pith:2018:ZWXCCFYJFRZG4ROJITOQN5WOIE

not attested not anchored not stored refs pending

Curse of Heterogeneity: Computational Barriers in Sparse Mixture Models and Phase Retrieval

Han Liu, Jianqing Fan, Zhaoran Wang, Zhuoran Yang

arxiv:1808.06996 v1 · 2018-08-21 · math.ST · cs.IT · cs.LG · math.IT · stat.ML · 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{ZWXCCFYJFRZG4ROJITOQN5WOIE}

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	2026-05-18T00:07:38.451629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdae2117092c726e45c944dd06f6ce411120a122d26b565f3715604c5a6545a0

Aliases

arxiv: 1808.06996 · arxiv_version: 1808.06996v1 · doi: 10.48550/arxiv.1808.06996 · pith_short_12: ZWXCCFYJFRZG · pith_short_16: ZWXCCFYJFRZG4ROJ · pith_short_8: ZWXCCFYJ

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/ZWXCCFYJFRZG4ROJITOQN5WOIE \
  | 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: cdae2117092c726e45c944dd06f6ce411120a122d26b565f3715604c5a6545a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baccb1a52d6821bfefc4079e949a5781911c33d0192969a858aa7ec4cf3278d8",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-08-21T16:16:46Z",
    "title_canon_sha256": "bad3ca97da9df9786614fb180f73e755ef80072585affe66447c309777521f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06996",
    "kind": "arxiv",
    "version": 1
  }
}