Pith Number

pith:YQ7C5AVX

pith:2010:YQ7C5AVXPGHXMZ57DZOQVZS3VE

not attested not anchored not stored refs pending

Multivalued generalizations of the Frankl--Pach Theorem

Gabor Heged\"us, Lajos Ronyai

arxiv:1008.4660 v2 · 2010-08-27 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQ7C5AVXPGHXMZ57DZOQVZS3VE}

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.

Cited by

1 paper in Pith

An Optimal Sauer Lemma Over $k$-ary Alphabets

Receipt and verification

First computed	2026-05-18T01:02:59.672292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43e2e82b7798f7667bf1e5d0ae65ba934b52c31a88ecde33891b15a9520d32b

Aliases

arxiv: 1008.4660 · arxiv_version: 1008.4660v2 · doi: 10.48550/arxiv.1008.4660 · pith_short_12: YQ7C5AVXPGHX · pith_short_16: YQ7C5AVXPGHXMZ57 · pith_short_8: YQ7C5AVX

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/YQ7C5AVXPGHXMZ57DZOQVZS3VE \
  | 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: c43e2e82b7798f7667bf1e5d0ae65ba934b52c31a88ecde33891b15a9520d32b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e519f22df56229a6a3cc4213a50295466df8a6526a6a33ff97b59209d23284",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-27T08:41:00Z",
    "title_canon_sha256": "7b949ba425943a8d2719212539f9b77bf89b8f71ed83fbe6b652b84eebf7073f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4660",
    "kind": "arxiv",
    "version": 2
  }
}