Pith Number

pith:KDOP5IME

pith:2018:KDOP5IME2EVOEBP7BTUQNNGZSQ

not attested not anchored not stored refs pending

Kruskal-Katona Theorem for t-spread strongly stable ideals

Claudia Andrei-Ciobanu

arxiv:1811.00798 v1 · 2018-11-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDOP5IME2EVOEBP7BTUQNNGZSQ}

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	2026-05-18T00:01:42.090039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dcfea184d12ae205ff0ce906b4d9942f6258f501c2973bd73692fe3ba99375

Aliases

arxiv: 1811.00798 · arxiv_version: 1811.00798v1 · doi: 10.48550/arxiv.1811.00798 · pith_short_12: KDOP5IME2EVO · pith_short_16: KDOP5IME2EVOEBP7 · pith_short_8: KDOP5IME

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/KDOP5IME2EVOEBP7BTUQNNGZSQ \
  | 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: 50dcfea184d12ae205ff0ce906b4d9942f6258f501c2973bd73692fe3ba99375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb78ed401af3f7427ab319df475723295cebd0aab3176e044765cc4453a9625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-02T09:55:37Z",
    "title_canon_sha256": "188cb0b5120888d9dc0cb3b2c17ca962a3f249020c763f48a46d66ffab6c26b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00798",
    "kind": "arxiv",
    "version": 1
  }
}