Pith Number

pith:PAOPWYZ4

pith:2021:PAOPWYZ4CZJIMT3ZEOGJH5ZKPA

not attested not anchored not stored refs pending

Non-trivial $t$-intersecting families for the distance-regular graphs of bilinear forms

Benjian Lv, Kaishun Wang, Mengyu Cao

arxiv:2103.11117 v1 · 2021-03-20 · 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{PAOPWYZ4CZJIMT3ZEOGJH5ZKPA}

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	2026-07-05T02:24:57.081973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781cfb633c1652864f79238c93f72a782bd233d8f2f185606085f9c218818688

Aliases

arxiv: 2103.11117 · arxiv_version: 2103.11117v1 · doi: 10.48550/arxiv.2103.11117 · pith_short_12: PAOPWYZ4CZJI · pith_short_16: PAOPWYZ4CZJIMT3Z · pith_short_8: PAOPWYZ4

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/PAOPWYZ4CZJIMT3ZEOGJH5ZKPA \
  | 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: 781cfb633c1652864f79238c93f72a782bd233d8f2f185606085f9c218818688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08254ad88d79565a79830e1385eba469e8b0a29d59702cb9162aee92f7ca794d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-20T07:02:50Z",
    "title_canon_sha256": "4ca7dacf03c8424bebd62def8f69f9a87a85e9bbf94b79cbde4adfc33c712ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11117",
    "kind": "arxiv",
    "version": 1
  }
}