Pith Number

pith:SQWYKJPP

pith:2025:SQWYKJPP5WUQWLVOZGPYFAB7M5

not attested not anchored not stored refs pending

$s$-almost cross-$t$-intersecting families for finite sets

Dehai Liu, Kaishun Wang, Tian Yao

arxiv:2506.21993 v1 · 2025-06-27 · 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{SQWYKJPP5WUQWLVOZGPYFAB7M5}

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	2026-07-05T11:28:20.018289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942d8525efeda90b2eaec99f82803f676b33288d22299abfc675dec66db7f9ef

Aliases

arxiv: 2506.21993 · arxiv_version: 2506.21993v1 · doi: 10.48550/arxiv.2506.21993 · pith_short_12: SQWYKJPP5WUQ · pith_short_16: SQWYKJPP5WUQWLVO · pith_short_8: SQWYKJPP

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/SQWYKJPP5WUQWLVOZGPYFAB7M5 \
  | 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: 942d8525efeda90b2eaec99f82803f676b33288d22299abfc675dec66db7f9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6e375cc521804ab6a5ca12f78dfd6339b7c95a736a5363fd600d0d62f4fa63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-27T08:00:58Z",
    "title_canon_sha256": "ebc86576884b81d8e453f34a198cd35b5b73c87b68c91a6eb72908fd9ec28f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21993",
    "kind": "arxiv",
    "version": 1
  }
}