Pith Number

pith:6HGIFYCW

pith:2023:6HGIFYCWV5JTKUVGX7XBJLC6EO

not attested not anchored not stored refs pending

A new upper bound for the Heilbronn triangle problem

Alex Cohen, Cosmin Pohoata, Dmitrii Zakharov

arxiv:2305.18253 v1 · 2023-05-29 · math.CO · math.CA · 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{6HGIFYCWV5JTKUVGX7XBJLC6EO}

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.

Cited by

1 paper in Pith

Furstenberg set theorem for transversal families of functions

Receipt and verification

First computed	2026-07-05T06:14:54.067069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1cc82e056af533552a6bfee14ac5e238e28874c83e9e92001554c75efe60a4d

Aliases

arxiv: 2305.18253 · arxiv_version: 2305.18253v1 · doi: 10.48550/arxiv.2305.18253 · pith_short_12: 6HGIFYCWV5JT · pith_short_16: 6HGIFYCWV5JTKUVG · pith_short_8: 6HGIFYCW

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/6HGIFYCWV5JTKUVGX7XBJLC6EO \
  | 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: f1cc82e056af533552a6bfee14ac5e238e28874c83e9e92001554c75efe60a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901cbdfd55ec6175c8786cd39ee2112f7f422bd1fbc1f66ff3beee4bdc28f875",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-29T17:20:57Z",
    "title_canon_sha256": "0740447eb01d031c8c9bb8b8f475227f3a671e137a3dcc4293c53d4f6084ba72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.18253",
    "kind": "arxiv",
    "version": 1
  }
}