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Pith Number

pith:2RUGHW32

pith:2018:2RUGHW32RE76AYYQVEEFLSXOIR
not attested not anchored not stored refs pending

The method of hypergraph containers

J\'ozsef Balogh, Robert Morris, Wojciech Samotij

arxiv:1801.04584 v1 · 2018-01-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2RUGHW32RE76AYYQVEEFLSXOIR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T00:26:03.926418Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d46863db7a893fe06310a90855caee444dba27fafd3508a1765e2a01c205892d

Aliases

arxiv: 1801.04584 · arxiv_version: 1801.04584v1 · doi: 10.48550/arxiv.1801.04584 · pith_short_12: 2RUGHW32RE76 · pith_short_16: 2RUGHW32RE76AYYQ · pith_short_8: 2RUGHW32
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2RUGHW32RE76AYYQVEEFLSXOIR \
  | 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: d46863db7a893fe06310a90855caee444dba27fafd3508a1765e2a01c205892d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a27022ce5593d877d91ab32aab4c3243a6d187c7ccfac32e0819769e4f19d19f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-14T17:03:49Z",
    "title_canon_sha256": "0968bfc797cc8134e04e0376e51a31222dae9791957ef0a5286429060fbb7c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04584",
    "kind": "arxiv",
    "version": 1
  }
}