Pith Number

pith:4JROOWPO

pith:2019:4JROOWPOL57TQ5VLWUPSHVTKR7

not attested not anchored not stored refs pending

An Erd\H{o}s-Ko-Rado Theorem for unions of length 2 paths

Carl Feghali, Glenn Hurlbert, Vikram Kamat

arxiv:1910.08849 v3 · 2019-10-19 · 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{4JROOWPOL57TQ5VLWUPSHVTKR7}

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	2026-07-05T01:29:01.233509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e262e759ee5f7f3876abb51f23d66a8fee933062d1e4f0c7fdac4e90800feb36

Aliases

arxiv: 1910.08849 · arxiv_version: 1910.08849v3 · doi: 10.48550/arxiv.1910.08849 · pith_short_12: 4JROOWPOL57T · pith_short_16: 4JROOWPOL57TQ5VL · pith_short_8: 4JROOWPO

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/4JROOWPOL57TQ5VLWUPSHVTKR7 \
  | 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: e262e759ee5f7f3876abb51f23d66a8fee933062d1e4f0c7fdac4e90800feb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d4cc6a0691ec33c3f03cbd19e6317b37f76d58f02a0a161ffe82e37ccac5ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-19T21:46:44Z",
    "title_canon_sha256": "c89be8eaeabcb8cc2a7713300c3b71c8d306f83eb0dbc6a7d4ce69ac9ac2adbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08849",
    "kind": "arxiv",
    "version": 3
  }
}