Pith Number

pith:VUHPL2CL

pith:2016:VUHPL2CLI6XS5UNCOHMMXPA347

not attested not anchored not stored refs pending

Stability versions of Erd\H{o}s-Ko-Rado type theorems, via isoperimetry

David Ellis, Nathan Keller, Noam Lifshitz

arxiv:1604.02160 v4 · 2016-04-07 · 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{VUHPL2CLI6XS5UNCOHMMXPA347}

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	2026-05-18T00:15:02.472635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0ef5e84b47af2ed1a271d8cbbc1be7d79d07427343ee6903ba16e8b7eedf08

Aliases

arxiv: 1604.02160 · arxiv_version: 1604.02160v4 · doi: 10.48550/arxiv.1604.02160 · pith_short_12: VUHPL2CLI6XS · pith_short_16: VUHPL2CLI6XS5UNC · pith_short_8: VUHPL2CL

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/VUHPL2CLI6XS5UNCOHMMXPA347 \
  | 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: ad0ef5e84b47af2ed1a271d8cbbc1be7d79d07427343ee6903ba16e8b7eedf08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9afb4e47796125c312e936ecdfc7cb3ecd2241c3c2f04d864f454f56262fe4a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-07T20:08:02Z",
    "title_canon_sha256": "a172b330ec575a39bab3b53e8ac80fb0debba69b5aa3b2fc2f49e6807d8c3177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02160",
    "kind": "arxiv",
    "version": 4
  }
}