Pith Number

pith:G3436RYT

pith:2025:G3436RYTDXRVGNTK3BU2Z3W4W5

not attested not anchored not stored refs pending

Property O and Erd\H{o}s--Szekeres properties in linear hypergraphs

Ander Lamaison, Minghui Ouyang, Suyun Jiang

arxiv:2509.08692 v2 · 2025-09-10 · 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{G3436RYTDXRVGNTK3BU2Z3W4W5}

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	2026-07-05T12:09:25.151746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f9bf47131de353366ad869aceedcb7564ae0abe3b3b83d982ed21995a54b39

Aliases

arxiv: 2509.08692 · arxiv_version: 2509.08692v2 · doi: 10.48550/arxiv.2509.08692 · pith_short_12: G3436RYTDXRV · pith_short_16: G3436RYTDXRVGNTK · pith_short_8: G3436RYT

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/G3436RYTDXRVGNTK3BU2Z3W4W5 \
  | 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: 36f9bf47131de353366ad869aceedcb7564ae0abe3b3b83d982ed21995a54b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03e6627c11a04d648188786656ad61654c933d8f0d3f5bc990716b49b0609a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-10T15:33:22Z",
    "title_canon_sha256": "36181089cc520a89c11c31fd6ff080d5844ba2a153539b8ca3f019659a8a9ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08692",
    "kind": "arxiv",
    "version": 2
  }
}