Pith Number

pith:WXQUAAXN

pith:2015:WXQUAAXNERE7ZGFRZCRRCOF4PY

not attested not anchored not stored refs pending

Categorical Matrix Completion

Yang Cao, Yao Xie

arxiv:1507.00421 v1 · 2015-07-02 · cs.NA · cs.LG · math.ST · 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{WXQUAAXNERE7ZGFRZCRRCOF4PY}

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	2026-05-18T01:37:24.803693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e14002ed2449fc98b1c8a31138bc7e2a3aba03853a563dee95b4117f7be9a5

Aliases

arxiv: 1507.00421 · arxiv_version: 1507.00421v1 · doi: 10.48550/arxiv.1507.00421 · pith_short_12: WXQUAAXNERE7 · pith_short_16: WXQUAAXNERE7ZGFR · pith_short_8: WXQUAAXN

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/WXQUAAXNERE7ZGFRZCRRCOF4PY \
  | 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: b5e14002ed2449fc98b1c8a31138bc7e2a3aba03853a563dee95b4117f7be9a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239aa7a36bd33b90131cfebfd9b1c043b85aa53383afb95bfcfbac033b61511a",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-07-02T03:58:47Z",
    "title_canon_sha256": "5ef29ec5ecea5bea84a54d1632a45bb67e10fa55dc124d43e235320a9d3a535f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00421",
    "kind": "arxiv",
    "version": 1
  }
}