Pith Number

pith:ZJN4DZ6F

pith:2010:ZJN4DZ6FPGPGW2H3V2VFIEQUFE

not attested not anchored not stored refs pending

Dense locally testable codes cannot have constant rate and distance

Irit Dinur, Tali Kaufman

arxiv:1012.2738 v1 · 2010-12-13 · 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{ZJN4DZ6FPGPGW2H3V2VFIEQUFE}

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	2026-05-18T04:33:27.899581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5bc1e7c5799e6b68fbaeaa541214292f2ccab04753a91dc9acec9a65c9a467

Aliases

arxiv: 1012.2738 · arxiv_version: 1012.2738v1 · doi: 10.48550/arxiv.1012.2738 · pith_short_12: ZJN4DZ6FPGPG · pith_short_16: ZJN4DZ6FPGPGW2H3 · pith_short_8: ZJN4DZ6F

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/ZJN4DZ6FPGPGW2H3V2VFIEQUFE \
  | 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: ca5bc1e7c5799e6b68fbaeaa541214292f2ccab04753a91dc9acec9a65c9a467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fce4755988a82b5ab7e7f139c842ad5dbcd211407769ae8761d12d03681b388",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-12-13T14:31:33Z",
    "title_canon_sha256": "e9bb4466a2e3ddabdc8cb7342b74b113d0dd9f7541d73cceff9e4e580500ffd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2738",
    "kind": "arxiv",
    "version": 1
  }
}