Pith Number

pith:ZGUONFSI

pith:2009:ZGUONFSI2VR7UUT55MC2JRNAVL

not attested not anchored not stored refs pending

The positive semidefinite Grothendieck problem with rank constraint

Fernando Mario de Oliveira Filho, Frank Vallentin, Jop Briet

arxiv:0910.5765 v3 · 2009-10-30 · math.OC · cs.DS · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGUONFSI2VR7UUT55MC2JRNAVL}

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	2026-05-18T04:40:54.642551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a8e69648d563fa527deb05a4c5a0aad8763ee89705680b10909b2846595cc8

Aliases

arxiv: 0910.5765 · arxiv_version: 0910.5765v3 · doi: 10.48550/arxiv.0910.5765 · pith_short_12: ZGUONFSI2VR7 · pith_short_16: ZGUONFSI2VR7UUT5 · pith_short_8: ZGUONFSI

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/ZGUONFSI2VR7UUT55MC2JRNAVL \
  | 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: c9a8e69648d563fa527deb05a4c5a0aad8763ee89705680b10909b2846595cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12609583a082bf78ca951ba14eecf556e005f5ec0abbdf0a413f1f50b14d897",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-10-30T04:49:10Z",
    "title_canon_sha256": "0ae3805e179cc5977719db9bb36379776f36de29c048e53bfcfae6e2c53c39f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5765",
    "kind": "arxiv",
    "version": 3
  }
}