Pith Number

pith:WFQRKOOP

pith:2021:WFQRKOOPDLCCWAZSZK3WRLMTMZ

not attested not anchored not stored refs pending

Sample-Efficient Sparse Phase Retrieval via Stochastic Alternating Minimization

Jian-Feng Cai, Juntao You, Xiliang Lu, Yuling Jiao

arxiv:2112.07919 v2 · 2021-12-15 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFQRKOOPDLCCWAZSZK3WRLMTMZ}

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	2026-07-05T05:18:24.792664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1611539cf1ac42b0332cab768ad9366786839eab9594e830ef3689354bc5b63

Aliases

arxiv: 2112.07919 · arxiv_version: 2112.07919v2 · doi: 10.48550/arxiv.2112.07919 · pith_short_12: WFQRKOOPDLCC · pith_short_16: WFQRKOOPDLCCWAZS · pith_short_8: WFQRKOOP

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/WFQRKOOPDLCCWAZSZK3WRLMTMZ \
  | 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: b1611539cf1ac42b0332cab768ad9366786839eab9594e830ef3689354bc5b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b21c61c7494e15d8da7e42580e6342dd7d1217cfbe19cb44223960e561f644",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-15T06:47:51Z",
    "title_canon_sha256": "db8b4336fd2045a277fbae1e64b73549da57b775c22cb780dae2d02e4a610152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07919",
    "kind": "arxiv",
    "version": 2
  }
}