Pith Number

pith:VXA3FS2X

pith:2021:VXA3FS2XDN7VPTUEUYZW3HUPKJ

not attested not anchored not stored refs pending

Maximal $3$-wise intersecting families

Ben Lund, Casey Tompkins, Ce Chen, Haoran Luo, J\'ozsef Balogh, Kevin Hendrey, Tuan Tran

arxiv:2110.12708 v2 · 2021-10-25 · 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{VXA3FS2XDN7VPTUEUYZW3HUPKJ}

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	2026-07-05T05:45:25.438196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc1b2cb571b7f57ce84a6336d9e8f525ebbe8b59a4a979a128b80b94af8d76f

Aliases

arxiv: 2110.12708 · arxiv_version: 2110.12708v2 · doi: 10.48550/arxiv.2110.12708 · pith_short_12: VXA3FS2XDN7V · pith_short_16: VXA3FS2XDN7VPTUE · pith_short_8: VXA3FS2X

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/VXA3FS2XDN7VPTUEUYZW3HUPKJ \
  | 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: adc1b2cb571b7f57ce84a6336d9e8f525ebbe8b59a4a979a128b80b94af8d76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9087ac70c28f0db89b5014a48e33c7fc9c2c867e04b434418d3a3cfc2fe58c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-25T07:40:16Z",
    "title_canon_sha256": "3e83fd575c192fa5b7b2685814f7fb36f3ed9fd7e869c923cc05aedc266b5cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12708",
    "kind": "arxiv",
    "version": 2
  }
}