Pith Number

pith:EXHB3GLI

pith:2018:EXHB3GLIQI2CRJCJPV7JOGNEKZ

not attested not anchored not stored refs pending

On the number of containments in $P$-free families

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

arxiv:1804.01606 v1 · 2018-04-04 · 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{EXHB3GLIQI2CRJCJPV7JOGNEKZ}

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	2026-05-18T00:19:10.727603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ce1d9968823428a4497d7e9719a4564c5079bf6df20ab702327e0b900e52de

Aliases

arxiv: 1804.01606 · arxiv_version: 1804.01606v1 · doi: 10.48550/arxiv.1804.01606 · pith_short_12: EXHB3GLIQI2C · pith_short_16: EXHB3GLIQI2CRJCJ · pith_short_8: EXHB3GLI

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/EXHB3GLIQI2CRJCJPV7JOGNEKZ \
  | 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: 25ce1d9968823428a4497d7e9719a4564c5079bf6df20ab702327e0b900e52de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eac3297835dbc063f6adf6dfd1d8fd3d26b68c4714843332495c6b1a857f0c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-04T21:06:53Z",
    "title_canon_sha256": "4b2f2687e420f1a1ca1ae82417d09de88335138a9385c6c5f04af4b45ec67706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01606",
    "kind": "arxiv",
    "version": 1
  }
}