Pith Number

pith:NMN44K2S

pith:2016:NMN44K2SQAFTBRR3QTZJYZLHVZ

not attested not anchored not stored refs pending

New injective proofs of the Erd\H{o}s--Ko--Rado and Hilton--Milner theorems

Glenn Hurlbert, Vikram Kamat

arxiv:1609.04714 v3 · 2016-09-15 · 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{NMN44K2SQAFTBRR3QTZJYZLHVZ}

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	2026-05-18T00:32:44.325512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1bce2b52800b30c63b84f29c6567ae434683abb24d1395bc37cb487f4114e6

Aliases

arxiv: 1609.04714 · arxiv_version: 1609.04714v3 · doi: 10.48550/arxiv.1609.04714 · pith_short_12: NMN44K2SQAFT · pith_short_16: NMN44K2SQAFTBRR3 · pith_short_8: NMN44K2S

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/NMN44K2SQAFTBRR3QTZJYZLHVZ \
  | 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: 6b1bce2b52800b30c63b84f29c6567ae434683abb24d1395bc37cb487f4114e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843600607a6a7efc1d0f2aae1cac1ce25a8a6ffb9d85fd420d8575e564c25089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-15T16:07:22Z",
    "title_canon_sha256": "30d5d44e564e5274959413a4e17edd70dd3f93ecbd6af3040603025e0aa2cbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04714",
    "kind": "arxiv",
    "version": 3
  }
}