Pith Number

pith:CG2ZLPJG

pith:2011:CG2ZLPJGUSVA6VLOXIRYV5BDZD

not attested not anchored not stored refs pending

Phase Retrieval via Matrix Completion

Emmanuel J. Candes, Thomas Strohmer, Vlad Voroninski, Yonina Eldar

arxiv:1109.0573 v2 · 2011-09-02 · cs.IT · math.IT · math.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{CG2ZLPJGUSVA6VLOXIRYV5BDZD}

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	2026-05-18T04:12:44.173823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b595bd26a4aa0f556eba238af423c8e43925a14bc6cd90e02ed62e17bd3373

Aliases

arxiv: 1109.0573 · arxiv_version: 1109.0573v2 · doi: 10.48550/arxiv.1109.0573 · pith_short_12: CG2ZLPJGUSVA · pith_short_16: CG2ZLPJGUSVA6VLO · pith_short_8: CG2ZLPJG

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/CG2ZLPJGUSVA6VLOXIRYV5BDZD \
  | 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: 11b595bd26a4aa0f556eba238af423c8e43925a14bc6cd90e02ed62e17bd3373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c3e99c1ccbe9aff8f3b626b33ec7c08f80c98592d8e65f93997a2348dcda5c",
    "cross_cats_sorted": [
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-02T22:52:18Z",
    "title_canon_sha256": "b7c18207e13b6234f06b2c1f1ac16c5bdfaf5042ba5aa68503e1d987d7f2d760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0573",
    "kind": "arxiv",
    "version": 2
  }
}