Pith Number

pith:OXVCXRC5

pith:2025:OXVCXRC575IWQDIR44EZKJ4X5E

not attested not anchored not stored refs pending

Gluing Posets and the Dichotomy of Poset Saturation Numbers

Maria-Romina Ivan, Sean Jaffe

arxiv:2503.12223 v4 · 2025-03-15 · 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{OXVCXRC575IWQDIR44EZKJ4X5E}

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.

Cited by

3 papers in Pith

Linear Saturation for $\mathcal N$ via Butterflies

Induced poset saturation in the hypergrid

The Exact Saturation Number for the Diamond

Receipt and verification

First computed	2026-05-26T01:03:11.677862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ea2bc45dff51680d11e709952797e9314182e3067a17a78457024f50742328

Aliases

arxiv: 2503.12223 · arxiv_version: 2503.12223v4 · doi: 10.48550/arxiv.2503.12223 · pith_short_12: OXVCXRC575IW · pith_short_16: OXVCXRC575IWQDIR · pith_short_8: OXVCXRC5

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/OXVCXRC575IWQDIR44EZKJ4X5E \
  | 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: 75ea2bc45dff51680d11e709952797e9314182e3067a17a78457024f50742328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8648ca9e2ce74a12db860727e35d567dd7be6f386723f1b37cef23d509cde5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-15T18:17:15Z",
    "title_canon_sha256": "4fe393441dd2845f75c2c6e674438e4f4e870b5fe96a2fb44b2369a96f54b91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.12223",
    "kind": "arxiv",
    "version": 4
  }
}