Pith Number

pith:AVUSYFPH

pith:2018:AVUSYFPH3VKZMQ7QU3RVMCGYLX

not attested not anchored not stored refs pending

On the maximum number of copies of H in graphs with given size and order

Bal\'azs Patk\'os, D\'aniel Gerbner, D\'aniel T. Nagy, M\'at\'e Vizer

arxiv:1810.00817 v1 · 2018-10-01 · 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{AVUSYFPH3VKZMQ7QU3RVMCGYLX}

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	2026-05-18T00:04:24.765171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05692c15e7dd559643f0a6e35608d85ddf813af05e7fe40251808780ea26a398

Aliases

arxiv: 1810.00817 · arxiv_version: 1810.00817v1 · doi: 10.48550/arxiv.1810.00817 · pith_short_12: AVUSYFPH3VKZ · pith_short_16: AVUSYFPH3VKZMQ7Q · pith_short_8: AVUSYFPH

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/AVUSYFPH3VKZMQ7QU3RVMCGYLX \
  | 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: 05692c15e7dd559643f0a6e35608d85ddf813af05e7fe40251808780ea26a398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d88ff4a1af12e0e60068decdc31b7d9e5671de1276a9fdb269caecf89c6a5ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-01T16:54:00Z",
    "title_canon_sha256": "7551a3e34d42ce36fb88cad7e3bc3a11bc488c881efd64429e24a7d3149cbb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00817",
    "kind": "arxiv",
    "version": 1
  }
}