Pith Number

pith:C5UTE7GM

pith:2015:C5UTE7GM6OCLTJGE3KO4OKYNM7

not attested not anchored not stored refs pending

On "stability" in the Erd\H{o}s-Ko-Rado theorem

Jeff Kahn, Pat Devlin

arxiv:1502.05692 v1 · 2015-02-19 · 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{C5UTE7GM6OCLTJGE3KO4OKYNM7}

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	2026-05-18T02:26:45.867480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1769327cccf384b9a4c4da9dc72b0d67f9b4576f17b7f775146c9cce64587ff1

Aliases

arxiv: 1502.05692 · arxiv_version: 1502.05692v1 · doi: 10.48550/arxiv.1502.05692 · pith_short_12: C5UTE7GM6OCL · pith_short_16: C5UTE7GM6OCLTJGE · pith_short_8: C5UTE7GM

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/C5UTE7GM6OCLTJGE3KO4OKYNM7 \
  | 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: 1769327cccf384b9a4c4da9dc72b0d67f9b4576f17b7f775146c9cce64587ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbfbaab65903f8c80db8ab09eee3adfd9a727a8d208d4425cf8d025f6adac81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-19T20:32:42Z",
    "title_canon_sha256": "8abdb438585ab7bfdd26d3101e8ff5e45d3ae372e6438c4abaa1c7646b0d57c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05692",
    "kind": "arxiv",
    "version": 1
  }
}