Pith Number

pith:G2PXQRLJ

pith:2015:G2PXQRLJH36SKLKOLOD4X4VNQK

not attested not anchored not stored refs pending

On the Minimum Width of a Cutset in the Truncated Boolean Lattice

B\'ela Bajnok

arxiv:1512.02978 v1 · 2015-12-09 · 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{G2PXQRLJH36SKLKOLOD4X4VNQK}

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	2026-05-18T01:24:39.119683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369f7845693efd252d4e5b87cbf2ad82ba70fcaa02017261fdb2d1207e7825bb

Aliases

arxiv: 1512.02978 · arxiv_version: 1512.02978v1 · doi: 10.48550/arxiv.1512.02978 · pith_short_12: G2PXQRLJH36S · pith_short_16: G2PXQRLJH36SKLKO · pith_short_8: G2PXQRLJ

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/G2PXQRLJH36SKLKOLOD4X4VNQK \
  | 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: 369f7845693efd252d4e5b87cbf2ad82ba70fcaa02017261fdb2d1207e7825bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e13d6b9ccebf836c4c9d42763ab6df281c1b914062c2674002cfa81c917f1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T18:22:37Z",
    "title_canon_sha256": "ae18f82a7c85eb8a3e940ec6773ce819553f176d6713e21876aad97016d4a3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02978",
    "kind": "arxiv",
    "version": 1
  }
}