Pith Number

pith:5W4XY6WU

pith:2013:5W4XY6WUEXMAYLBSDWWOWVIENQ

not attested not anchored not stored refs pending

Matrix Completion and Tensor Rank

Harm Derksen

arxiv:1302.2639 v2 · 2013-02-11 · math.OC · math.ST · 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{5W4XY6WUEXMAYLBSDWWOWVIENQ}

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	2026-05-18T03:17:46.597240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb97c7ad425d80c2c321daceb55046c0c09ed1ed657e5aeaf44fbaf72375a45

Aliases

arxiv: 1302.2639 · arxiv_version: 1302.2639v2 · doi: 10.48550/arxiv.1302.2639 · pith_short_12: 5W4XY6WUEXMA · pith_short_16: 5W4XY6WUEXMAYLBS · pith_short_8: 5W4XY6WU

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/5W4XY6WUEXMAYLBSDWWOWVIENQ \
  | 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: edb97c7ad425d80c2c321daceb55046c0c09ed1ed657e5aeaf44fbaf72375a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153cddec3c6acbeb1e47e6a6549131990b41c26915bcf0140e5af3d3d14d67c3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-11T21:04:45Z",
    "title_canon_sha256": "353c326e7edb36fb281da34591a6d7e44a9a90d937f2506094589d41160dafd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2639",
    "kind": "arxiv",
    "version": 2
  }
}