Pith Number

pith:LKDLWDJP

pith:2015:LKDLWDJPFQJCTHDEFWTQHCUFHS

not attested not anchored not stored refs pending

Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow

T. Tony Cai, Xiaodong Li, Zongming Ma

arxiv:1506.03382 v1 · 2015-06-10 · math.ST · cs.IT · math.IT · math.NA · 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{LKDLWDJPFQJCTHDEFWTQHCUFHS}

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	2026-05-18T01:55:24.855720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a86bb0d2f2c12299c642da7038a853cb681bea28e8f3aaaee0532a50bedfd16

Aliases

arxiv: 1506.03382 · arxiv_version: 1506.03382v1 · doi: 10.48550/arxiv.1506.03382 · pith_short_12: LKDLWDJPFQJC · pith_short_16: LKDLWDJPFQJCTHDE · pith_short_8: LKDLWDJP

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/LKDLWDJPFQJCTHDEFWTQHCUFHS \
  | 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: 5a86bb0d2f2c12299c642da7038a853cb681bea28e8f3aaaee0532a50bedfd16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4ed34ec1d21494eb77e4a5666790114dc7b41bdb74ad1d0a403cb5b999d301",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.NA",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-10T16:32:33Z",
    "title_canon_sha256": "ad95e0a2423d1cc6a3dd7ac32ef29410d0848ac4b5186ce65d5f9f8dd047e319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03382",
    "kind": "arxiv",
    "version": 1
  }
}