Pith Number

pith:P6MP56US

pith:2026:P6MP56USYBA475PRZ3J4LTQDT2

not attested not anchored not stored refs pending

Extremal cross $t$-intersecting families under $t$-covering number constraints for vector spaces

Benjian Lv, Kaishun Wang, Yu Zhu

arxiv:2608.00505 v1 · 2026-08-01 · 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{P6MP56USYBA475PRZ3J4LTQDT2}

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	2026-08-04T00:37:05.191218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f98fefa92c041cff5f1ced3c5ce039e9461977196c09c3bcaa0683867f7222a

Aliases

arxiv: 2608.00505 · arxiv_version: 2608.00505v1 · doi: 10.48550/arxiv.2608.00505 · pith_short_12: P6MP56USYBA4 · pith_short_16: P6MP56USYBA475PR · pith_short_8: P6MP56US

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/P6MP56USYBA475PRZ3J4LTQDT2 \
  | 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: 7f98fefa92c041cff5f1ced3c5ce039e9461977196c09c3bcaa0683867f7222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e85aebbbca2d742b65acf4ffd6c6444bba2ab453e95f72d1b937b30adca570",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-01T07:56:42Z",
    "title_canon_sha256": "3edb1ccd181e4854e84b0634f953c9280c436803a1ae8603fbc40b59c1bd76c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00505",
    "kind": "arxiv",
    "version": 1
  }
}