Pith Number

pith:U2IMKYDB

pith:2012:U2IMKYDBE7QIMPRKVFVVTODI2X

not attested not anchored not stored refs pending

Maximum Likelihood for Matrices with Rank Constraints

Bernd Sturmfels, Jonathan Hauenstein, Jose Rodriguez

arxiv:1210.0198 v2 · 2012-09-30 · math.AG · math.OC · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2IMKYDBE7QIMPRKVFVVTODI2X}

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	2026-05-18T03:30:41.728046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a690c5606127e0863e2aa96b59b868d5cbac7a98c9c07fc517c107a14a07e990

Aliases

arxiv: 1210.0198 · arxiv_version: 1210.0198v2 · doi: 10.48550/arxiv.1210.0198 · pith_short_12: U2IMKYDBE7QI · pith_short_16: U2IMKYDBE7QIMPRK · pith_short_8: U2IMKYDB

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/U2IMKYDBE7QIMPRKVFVVTODI2X \
  | 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: a690c5606127e0863e2aa96b59b868d5cbac7a98c9c07fc517c107a14a07e990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a52022baf2456208d507d2144f3c8052dd6d2e25d8e9e722765b200de4f085",
    "cross_cats_sorted": [
      "math.OC",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-30T13:40:48Z",
    "title_canon_sha256": "066e2cdd1621636b9f713df34e28300bd79e38bb06074397015a39a505951374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0198",
    "kind": "arxiv",
    "version": 2
  }
}