Pith Number

pith:T4RMKB4I

pith:2014:T4RMKB4IFDED7W2XMPMRGGCN6F

not attested not anchored not stored refs pending

Intersecting families of discrete structures are typically trivial

Hong Liu, J\'ozsef Balogh, Maryam Sharifzadeh, Michelle Delcourt, Shagnik Das

arxiv:1408.2559 v4 · 2014-08-11 · 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{T4RMKB4IFDED7W2XMPMRGGCN6F}

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	2026-05-18T02:29:45.418219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f22c5078828c83fdb5763d913184df170571bda560356db7872c66d6bf61ec7

Aliases

arxiv: 1408.2559 · arxiv_version: 1408.2559v4 · doi: 10.48550/arxiv.1408.2559 · pith_short_12: T4RMKB4IFDED · pith_short_16: T4RMKB4IFDED7W2X · pith_short_8: T4RMKB4I

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/T4RMKB4IFDED7W2XMPMRGGCN6F \
  | 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: 9f22c5078828c83fdb5763d913184df170571bda560356db7872c66d6bf61ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f18f2a1bc1771d9d3376a41678b854fb80c5f3aee71c781cfe0808afd3405c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-11T21:15:59Z",
    "title_canon_sha256": "8c3e4adcc1b64a1333beea544a7f7c2f83d64f3eee97e5d532bda34411b1ba56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2559",
    "kind": "arxiv",
    "version": 4
  }
}