Pith Number

pith:WNWBILOS

pith:2019:WNWBILOS2XHTW36QYPGRC53NWA

not attested not anchored not stored refs pending

Fractional cross intersecting families

Ritabrata Ray, Rogers Mathew, Shashank Srivastava

arxiv:1903.01872 v1 · 2019-03-05 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNWBILOS2XHTW36QYPGRC53NWA}

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	2026-05-17T23:51:59.535660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36c142dd2d5cf3b6fd0c3cd11776db032bcbe2224f62f579924c19e2c8ba029

Aliases

arxiv: 1903.01872 · arxiv_version: 1903.01872v1 · doi: 10.48550/arxiv.1903.01872 · pith_short_12: WNWBILOS2XHT · pith_short_16: WNWBILOS2XHTW36Q · pith_short_8: WNWBILOS

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/WNWBILOS2XHTW36QYPGRC53NWA \
  | 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: b36c142dd2d5cf3b6fd0c3cd11776db032bcbe2224f62f579924c19e2c8ba029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b2b38baf5de300dc46abc08d4306dcdaeb3c09d4cf939701d41d4e2e8e0ec9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-05T14:55:48Z",
    "title_canon_sha256": "d86a57588c610eb6730b313d121862b9b1655b633d284273c5253c6477028bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01872",
    "kind": "arxiv",
    "version": 1
  }
}