Pith Number

pith:35IUMXED

pith:2026:35IUMXEDDNRQRCMDXWEW4F33WE

not attested not anchored not stored refs pending

On extremal cross $t$-intersecting families with $t$-covering number conditions

Benjian Lv, Kaishun Wang, Yu Zhu

arxiv:2605.19424 v1 · 2026-05-19 · 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{35IUMXEDDNRQRCMDXWEW4F33WE}

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	2026-05-20T01:05:45.010745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df51465c831b63088983bd896e177bb12e64ff3e374582014dea17dbc232b395

Aliases

arxiv: 2605.19424 · arxiv_version: 2605.19424v1 · doi: 10.48550/arxiv.2605.19424 · pith_short_12: 35IUMXEDDNRQ · pith_short_16: 35IUMXEDDNRQRCMD · pith_short_8: 35IUMXED

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/35IUMXEDDNRQRCMDXWEW4F33WE \
  | 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: df51465c831b63088983bd896e177bb12e64ff3e374582014dea17dbc232b395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353d58c442ae6945c2b177b48a53041b9843ee970646153b954bcdf4c5f670e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T06:23:26Z",
    "title_canon_sha256": "c8d4701eed261293af6074fe5c86a8fd716461e33be1d460993632b338e45458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19424",
    "kind": "arxiv",
    "version": 1
  }
}