Pith Number

pith:43O2D7MK

pith:2022:43O2D7MKEVGEMLTDBQYRAL4MNH

not attested not anchored not stored refs pending

Improved Elekes-Szab\'o type estimates using proximity

Joshua Zahl, Jozsef Solymosi

arxiv:2211.13294 v1 · 2022-11-23 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43O2D7MKEVGEMLTDBQYRAL4MNH}

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	2026-07-05T07:48:44.200185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6dda1fd8a254c462e630c31102f8c69c029a5899fa77a58777005378b2bc465

Aliases

arxiv: 2211.13294 · arxiv_version: 2211.13294v1 · doi: 10.48550/arxiv.2211.13294 · pith_short_12: 43O2D7MKEVGE · pith_short_16: 43O2D7MKEVGEMLTD · pith_short_8: 43O2D7MK

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/43O2D7MKEVGEMLTDBQYRAL4MNH \
  | 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: e6dda1fd8a254c462e630c31102f8c69c029a5899fa77a58777005378b2bc465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb003c663bfa43d4c19700d6ee8dd43a8d8e8847bfdc3e7442e3fc60e5658ca",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-23T20:43:31Z",
    "title_canon_sha256": "da4cd7a156b0213843fa6b42550cdf2cec51998e55074b130b205b9d3d966a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13294",
    "kind": "arxiv",
    "version": 1
  }
}