Pith Number

pith:YSZ3Q22H

pith:2010:YSZ3Q22HMDNYYUV4NGQGQLRKOW

not attested not anchored not stored refs pending

Rank Bounds for Design Matrices with Applications to Combinatorial Geometry and Locally Correctable Codes

Amir Yehudayoff, Avi Wigderson, Boaz Barak, Zeev Dvir

arxiv:1009.4375 v2 · 2010-09-22 · math.CO · cs.CC · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSZ3Q22HMDNYYUV4NGQGQLRKOW}

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	2026-05-18T04:27:03.641507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b3b86b4760db8c52bc69a0682e2a75947dd0fab7f26bcf55edda8b0f8b6e3c

Aliases

arxiv: 1009.4375 · arxiv_version: 1009.4375v2 · doi: 10.48550/arxiv.1009.4375 · pith_short_12: YSZ3Q22HMDNY · pith_short_16: YSZ3Q22HMDNYYUV4 · pith_short_8: YSZ3Q22H

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/YSZ3Q22HMDNYYUV4NGQGQLRKOW \
  | 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: c4b3b86b4760db8c52bc69a0682e2a75947dd0fab7f26bcf55edda8b0f8b6e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9bbef13c003319fc212eacaf8e043cd3d106ab7d6ef8b7853714b5391ed289f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-22T14:50:25Z",
    "title_canon_sha256": "f1fee4fa9afadce5801d9383288512b211084a5368482cb90b254b06de152e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4375",
    "kind": "arxiv",
    "version": 2
  }
}