Pith Number

pith:VCUT7PTH

pith:2017:VCUT7PTHTIIQLAI4WN2YQVG2VO

not attested not anchored not stored refs pending

The Saturation Number of Induced Subposets of the Boolean Lattice

Benjamin Reiniger, Bill Kay, Eric Sullivan, Heather C. Smith, Lucas Kramer, Michael Ferrara, Ryan R. Martin

arxiv:1701.03010 v2 · 2017-01-11 · 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{VCUT7PTHTIIQLAI4WN2YQVG2VO}

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	2026-05-18T00:37:42.181300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a93fbe679a1105811cb3758854daaba83be7cd27debb0030923af94a850020

Aliases

arxiv: 1701.03010 · arxiv_version: 1701.03010v2 · doi: 10.48550/arxiv.1701.03010 · pith_short_12: VCUT7PTHTIIQ · pith_short_16: VCUT7PTHTIIQLAI4 · pith_short_8: VCUT7PTH

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/VCUT7PTHTIIQLAI4WN2YQVG2VO \
  | 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: a8a93fbe679a1105811cb3758854daaba83be7cd27debb0030923af94a850020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3c0aa1608278f60b0529facca7e6bbed6a0c2c3331d02379defb3bd63bef3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-11T15:24:00Z",
    "title_canon_sha256": "0c83946757b5d3c9ed1a472f6cfe10c11f70f3de111b5d72a8ccb544fab0279a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03010",
    "kind": "arxiv",
    "version": 2
  }
}