Pith Number

pith:CLSZR5EU

pith:2016:CLSZR5EUPYGAUM4E5GFYJEQ32Z

not attested not anchored not stored refs pending

On regularity lemmas and their algorithmic applications

Jacob Fox, L\'aszl\'o Mikl\'os Lov\'asz, Yufei Zhao

arxiv:1604.00733 v4 · 2016-04-04 · 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{CLSZR5EUPYGAUM4E5GFYJEQ32Z}

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	2026-05-17T23:48:53.302919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e598f4947e0c0a3384e98b84921bd676fa247d66f537439cf94bfc9f0432bb

Aliases

arxiv: 1604.00733 · arxiv_version: 1604.00733v4 · doi: 10.48550/arxiv.1604.00733 · pith_short_12: CLSZR5EUPYGA · pith_short_16: CLSZR5EUPYGAUM4E · pith_short_8: CLSZR5EU

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/CLSZR5EUPYGAUM4E5GFYJEQ32Z \
  | 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: 12e598f4947e0c0a3384e98b84921bd676fa247d66f537439cf94bfc9f0432bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8613c4a8f73f2d73ac4bc69a2c81e97de0a255ea447a65c53bc9a5918d99b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-04T03:54:06Z",
    "title_canon_sha256": "37b9ed47c7878c49cefa9e6e4e4b92d820ef4ea7199cf43065863904ac038776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00733",
    "kind": "arxiv",
    "version": 4
  }
}