Pith Number

pith:GXJOXOEA

pith:2012:GXJOXOEAKKWBHT5JK3K4UV25H2

not attested not anchored not stored refs pending

Independent sets in hypergraphs

J\'ozsef Balogh, Robert Morris, Wojciech Samotij

arxiv:1204.6530 v2 · 2012-04-29 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXJOXOEAKKWBHT5JK3K4UV25H2}

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	2026-05-18T02:55:57.640735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d2ebb88052ac13cfa956d5ca575d3eb227a7cd2ee512838df90accb56b1624

Aliases

arxiv: 1204.6530 · arxiv_version: 1204.6530v2 · doi: 10.48550/arxiv.1204.6530 · pith_short_12: GXJOXOEAKKWB · pith_short_16: GXJOXOEAKKWBHT5J · pith_short_8: GXJOXOEA

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/GXJOXOEAKKWBHT5JK3K4UV25H2 \
  | 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: 35d2ebb88052ac13cfa956d5ca575d3eb227a7cd2ee512838df90accb56b1624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac548895ce3e7a3ca0c565ff21b7d2f51ab37ca2479d47f9a8e4f6aee98e976",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-29T23:59:26Z",
    "title_canon_sha256": "e339ecc90de9be61b66fcfd3b78c268b94c58e9a4ac0e9f01bf830723f610423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6530",
    "kind": "arxiv",
    "version": 2
  }
}