Pith Number

pith:XVR752A7

pith:2026:XVR752A7XAEKSLJZYPGKNJTU23

not attested not anchored not stored refs pending

Sidorenko property and forcing in regular tournaments

Bernard Lidick\'y, Daniel Kr\'al', Filip Ku\v{c}er\'ak, Jan Volec, Matja\v{z} Krnc

arxiv:2602.12551 v2 · 2026-02-13 · 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{XVR752A7XAEKSLJZYPGKNJTU23}

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

2 papers in Pith

Transitivity in Inhomogeneous Random Tournaments

On Tournament Anti-Sidorenko Orientations of Trees

Receipt and verification

First computed	2026-07-16T00:21:45.341414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd63fee81fb808a92d39c3cca6a674d6d70d723d04358c2f0ec4813a7a63886c

Aliases

arxiv: 2602.12551 · arxiv_version: 2602.12551v2 · doi: 10.48550/arxiv.2602.12551 · pith_short_12: XVR752A7XAEK · pith_short_16: XVR752A7XAEKSLJZ · pith_short_8: XVR752A7

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/XVR752A7XAEKSLJZYPGKNJTU23 \
  | 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: bd63fee81fb808a92d39c3cca6a674d6d70d723d04358c2f0ec4813a7a63886c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be51ecc508fe0ac34bbd52ae406d579b7b58061a629e8ac52f6551bdfed8d1b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-13T02:58:00Z",
    "title_canon_sha256": "7e250d0bb238eb936b30108369532f256ba7b0dd0a6df7a9d10656a77d292e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12551",
    "kind": "arxiv",
    "version": 2
  }
}