Pith Number

pith:7YUZK6FR

pith:2013:7YUZK6FR27BCMWZANNHLTDEIG4

not attested not anchored not stored refs pending

On $r$-cross $t$-intersecting families for weak compositions

Cheng Yeaw Ku, Kok Bin Wong

arxiv:1311.1813 v1 · 2013-11-07 · 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{7YUZK6FR27BCMWZANNHLTDEIG4}

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	2026-05-18T03:07:42.916012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe299578b1d7c2265b206b4eb98c8837279902b2f615314931d619fc7a65e18d

Aliases

arxiv: 1311.1813 · arxiv_version: 1311.1813v1 · doi: 10.48550/arxiv.1311.1813 · pith_short_12: 7YUZK6FR27BC · pith_short_16: 7YUZK6FR27BCMWZA · pith_short_8: 7YUZK6FR

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/7YUZK6FR27BCMWZANNHLTDEIG4 \
  | 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: fe299578b1d7c2265b206b4eb98c8837279902b2f615314931d619fc7a65e18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9487ef6d7e4599897596438779221c4b3cde7e538bde1b21ace6e79de36bd964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-07T07:59:32Z",
    "title_canon_sha256": "8bd0469ebd1d01205208a9c16157292e009a233839f4e716017482d3d0916df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1813",
    "kind": "arxiv",
    "version": 1
  }
}