Pith Number

pith:ZRXDWXBA

pith:2025:ZRXDWXBA5OQVJOYTCZ7BNM7TF5

not attested not anchored not stored refs pending

Uniform Tur\'an density beyond 3-graphs

Ander Lamaison

arxiv:2508.20696 v1 · 2025-08-28 · 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{ZRXDWXBA5OQVJOYTCZ7BNM7TF5}

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	2026-07-05T12:00:58.147188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6e3b5c20eba154bb13167e16b3f32f6ed65263acf82b7eeba8c6e279719539

Aliases

arxiv: 2508.20696 · arxiv_version: 2508.20696v1 · doi: 10.48550/arxiv.2508.20696 · pith_short_12: ZRXDWXBA5OQV · pith_short_16: ZRXDWXBA5OQVJOYT · pith_short_8: ZRXDWXBA

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/ZRXDWXBA5OQVJOYTCZ7BNM7TF5 \
  | 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: cc6e3b5c20eba154bb13167e16b3f32f6ed65263acf82b7eeba8c6e279719539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07cd5c9e096f27971ea83b003794c12a6003a5318a4632430bcb2cea80d7f4a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-28T11:58:58Z",
    "title_canon_sha256": "eec8b6995ebbe6d299dfdd9b3ed2419d90e8348499f0ee58188ee4c6a399a69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20696",
    "kind": "arxiv",
    "version": 1
  }
}