Pith Number

pith:MP6DAFF3

pith:2012:MP6DAFF3FAWDR77RUXIS7CVCY2

not attested not anchored not stored refs pending

Support-based lower bounds for the positive semidefinite rank of a nonnegative matrix

Dirk Oliver Theis, Troy Lee

arxiv:1203.3961 v4 · 2012-03-18 · math.CO · cs.DM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MP6DAFF3FAWDR77RUXIS7CVCY2}

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	2026-05-18T03:07:02.274119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63fc3014bb282c38fff1a5d12f8aa2c680c36ca91457a861ae7e486e1aec88f0

Aliases

arxiv: 1203.3961 · arxiv_version: 1203.3961v4 · doi: 10.48550/arxiv.1203.3961 · pith_short_12: MP6DAFF3FAWD · pith_short_16: MP6DAFF3FAWDR77R · pith_short_8: MP6DAFF3

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/MP6DAFF3FAWDR77RUXIS7CVCY2 \
  | 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: 63fc3014bb282c38fff1a5d12f8aa2c680c36ca91457a861ae7e486e1aec88f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89582f6b44a225ccc311d40fa73fd44a0adf04e393c0966166ce8e8c0b80e543",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-18T15:16:12Z",
    "title_canon_sha256": "d7537c9dd5adef7028d9f3f8b389bba5a591f93bc587c8a2e246980d5131fe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3961",
    "kind": "arxiv",
    "version": 4
  }
}