Pith Number

pith:66NOEDFP

pith:2020:66NOEDFPEEZE4AJMXNWI2CD5UW

not attested not anchored not stored refs pending

On the Maximum Number of Edges in Hypergraphs with Fixed Matching and Clique Number

Erica L.L. Liu, Jian Wang, Peter Frankl

arxiv:2012.15142 v1 · 2020-12-30 · 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{66NOEDFPEEZE4AJMXNWI2CD5UW}

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	2026-07-05T02:03:05.059367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79ae20caf21324e012cbb6c8d087da5a5f0c3bebe7a646dafdd672a052540c5

Aliases

arxiv: 2012.15142 · arxiv_version: 2012.15142v1 · doi: 10.48550/arxiv.2012.15142 · pith_short_12: 66NOEDFPEEZE · pith_short_16: 66NOEDFPEEZE4AJM · pith_short_8: 66NOEDFP

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/66NOEDFPEEZE4AJMXNWI2CD5UW \
  | 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: f79ae20caf21324e012cbb6c8d087da5a5f0c3bebe7a646dafdd672a052540c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc806782fe59c2623af3da42ba1e10178b2abd30cb39c3a026e5c55bd81c8a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-30T13:07:23Z",
    "title_canon_sha256": "4148232d0de7bccd837649c39ac8ccdb12c730462e4e33fe594cb1cbd4e96b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15142",
    "kind": "arxiv",
    "version": 1
  }
}