Pith Number

pith:QQA4U7O2

pith:2020:QQA4U7O2GAA75UDSL4MO4NYNU6

not attested not anchored not stored refs pending

Extremal $t$-intersecting families for direct products

Benjian Lv, Kaishun Wang, Tian Yao

arxiv:2003.13877 v1 · 2020-03-31 · 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{QQA4U7O2GAA75UDSL4MO4NYNU6}

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	2026-07-05T00:51:46.033536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8401ca7dda3001fed0725f18ee370da784018c518272ef666df648828134e1fe

Aliases

arxiv: 2003.13877 · arxiv_version: 2003.13877v1 · doi: 10.48550/arxiv.2003.13877 · pith_short_12: QQA4U7O2GAA7 · pith_short_16: QQA4U7O2GAA75UDS · pith_short_8: QQA4U7O2

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/QQA4U7O2GAA75UDSL4MO4NYNU6 \
  | 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: 8401ca7dda3001fed0725f18ee370da784018c518272ef666df648828134e1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e316465a38f9903cec78a78deacd0df1d11562640f88449aa1b25db7da6e2c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-31T00:05:04Z",
    "title_canon_sha256": "19c7cd8fc7e7da457de38912817dc21a2ddaef67f3e91b7d46aada917b47f04c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13877",
    "kind": "arxiv",
    "version": 1
  }
}