Pith Number

pith:KYUCBKVW

pith:2026:KYUCBKVWJCPWNF2QKUYZSMX4CI

not attested not anchored not stored refs pending

$K_{2,t+1}$-free graphs with many copies of $K_{t,t}$

Cosmin Pohoata, Hung-Hsun Hans Yu, Jonathan Tidor

arxiv:2605.25905 v1 · 2026-05-25 · 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{KYUCBKVWJCPWNF2QKUYZSMX4CI}

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	2026-05-26T02:05:17.722947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562820aab6489f66975055319932fc1210e8a2891adbbec9aa74ec9d73a0a70b

Aliases

arxiv: 2605.25905 · arxiv_version: 2605.25905v1 · doi: 10.48550/arxiv.2605.25905 · pith_short_12: KYUCBKVWJCPW · pith_short_16: KYUCBKVWJCPWNF2Q · pith_short_8: KYUCBKVW

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/KYUCBKVWJCPWNF2QKUYZSMX4CI \
  | 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: 562820aab6489f66975055319932fc1210e8a2891adbbec9aa74ec9d73a0a70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34462617e1f3180e18aeeeaa2154e4b79b714dd683f26384fc428bd8e5f61aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T14:38:35Z",
    "title_canon_sha256": "09e7c6a7a02d92084e98b9a779f017abc4f34b968912a76787346727df8c6741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25905",
    "kind": "arxiv",
    "version": 1
  }
}