Pith Number

pith:SBFP4HXX

pith:2017:SBFP4HXXBQY77YTSYBNGNDY7JB

not attested not anchored not stored refs pending

Counterexamples to conjectures about Subset Takeaway and counting linear extensions of a Boolean lattice

Andries E. Brouwer, J. Daniel Christensen

arxiv:1702.03018 v2 · 2017-02-09 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBFP4HXXBQY77YTSYBNGNDY7JB}

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	2026-05-18T00:40:40.452561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904afe1ef70c31ffe272c05a668f1f486f7f40c3497c6f05ba6b289369be2b1b

Aliases

arxiv: 1702.03018 · arxiv_version: 1702.03018v2 · doi: 10.48550/arxiv.1702.03018 · pith_short_12: SBFP4HXXBQY7 · pith_short_16: SBFP4HXXBQY77YTS · pith_short_8: SBFP4HXX

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/SBFP4HXXBQY77YTSYBNGNDY7JB \
  | 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: 904afe1ef70c31ffe272c05a668f1f486f7f40c3497c6f05ba6b289369be2b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5284a88aac81ad4e2bb5a7c01fdf3f4f16fe755b663a63c4a0b7404339914fe",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-09T23:48:27Z",
    "title_canon_sha256": "00f494ac5e425d0953a9765bbf241e387b8909cf482e7a5184d88c984312418b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03018",
    "kind": "arxiv",
    "version": 2
  }
}