Pith Number

pith:223KHMHL

pith:2013:223KHMHLPIGH2CLGFW35D4L43F

not attested not anchored not stored refs pending

Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity

Hamza Fawzi, Pablo A. Parrilo

arxiv:1311.2571 v1 · 2013-11-11 · math.OC · cs.CC · math.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{223KHMHLPIGH2CLGFW35D4L43F}

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	2026-05-18T03:07:32.377762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b6a3b0eb7a0c7d09662db7d1f17cd95be3426ca18a3b5f2f341243b8258c65

Aliases

arxiv: 1311.2571 · arxiv_version: 1311.2571v1 · doi: 10.48550/arxiv.1311.2571 · pith_short_12: 223KHMHLPIGH · pith_short_16: 223KHMHLPIGH2CLG · pith_short_8: 223KHMHL

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/223KHMHLPIGH2CLGFW35D4L43F \
  | 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: d6b6a3b0eb7a0c7d09662db7d1f17cd95be3426ca18a3b5f2f341243b8258c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6071354949db15699fb83c40fe855c9551d2fc2146768149140b90a0c13ee24",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-11T20:37:32Z",
    "title_canon_sha256": "8d72fe6cf428b0285547e3c2e4dea025352f35a0dcb98148c227cbca8f763cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2571",
    "kind": "arxiv",
    "version": 1
  }
}