Pith Number

pith:FM3Z73VH

pith:2024:FM3Z73VHYGGOB45BSNKSFJSBTY

not attested not anchored not stored refs pending

Separating hypergraph Tur\'an densities

Bjarne Sch\"ulke, Haotian Yang, Hong Liu, Shuaichao Wang, Yixiao Zhang

arxiv:2410.08921 v2 · 2024-10-11 · 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{FM3Z73VHYGGOB45BSNKSFJSBTY}

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	2026-07-05T10:11:25.679953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b379feea7c18ce0f3a1935522a6419e1ba35c3cd2b98ea1c75aa7d778172dc7

Aliases

arxiv: 2410.08921 · arxiv_version: 2410.08921v2 · doi: 10.48550/arxiv.2410.08921 · pith_short_12: FM3Z73VHYGGO · pith_short_16: FM3Z73VHYGGOB45B · pith_short_8: FM3Z73VH

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/FM3Z73VHYGGOB45BSNKSFJSBTY \
  | 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: 2b379feea7c18ce0f3a1935522a6419e1ba35c3cd2b98ea1c75aa7d778172dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b99fc042482729e9513520382ce8cddad1b3ff2a3f71ec76fc4c6b4947d3069",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-11T15:48:18Z",
    "title_canon_sha256": "2579c14709662d42be4a0119c13a83134ba02ea59204abf65d8c59e334ab4784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.08921",
    "kind": "arxiv",
    "version": 2
  }
}