Pith Number

pith:II4AERI5

pith:2020:II4AERI5HZ44CZTRZHPIWCYR24

not attested not anchored not stored refs pending

Generalizations and strengthenings of Ryser's conjecture

Grace McCourt, Hannah Sheats, Louis DeBiasio, Yigal Kamel

arxiv:2009.07239 v3 · 2020-09-15 · 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{II4AERI5HZ44CZTRZHPIWCYR24}

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	2026-07-05T03:28:50.567088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423802451d3e79c16671c9de8b0b11d70a62a912a47d83e4a1f4c1e03a1717ab

Aliases

arxiv: 2009.07239 · arxiv_version: 2009.07239v3 · doi: 10.48550/arxiv.2009.07239 · pith_short_12: II4AERI5HZ44 · pith_short_16: II4AERI5HZ44CZTR · pith_short_8: II4AERI5

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/II4AERI5HZ44CZTRZHPIWCYR24 \
  | 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: 423802451d3e79c16671c9de8b0b11d70a62a912a47d83e4a1f4c1e03a1717ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ac83b42240bffebad7d75e963b8990f89a820d816e9a2561ee49a234c29fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-15T17:24:54Z",
    "title_canon_sha256": "cff0a5c70291726c4c7de8713bdaa4c9d0075abf954f3ad3ccb70585760cfda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07239",
    "kind": "arxiv",
    "version": 3
  }
}