Pith Number

pith:KLI5QHQD

pith:2011:KLI5QHQDQ6HBEWK2LSGDCGAGAS

not attested not anchored not stored refs pending

Many collinear k-tuples with no k+1 collinear points

J\'ozsef Solymosi, Milo\v{s} Stojakovi\'c

arxiv:1107.0327 v3 · 2011-07-01 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLI5QHQDQ6HBEWK2LSGDCGAGAS}

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	2026-05-18T03:12:33.512850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d1d81e03878e12595a5c8c311806048053b253eaabc4fe685a0819471d6763

Aliases

arxiv: 1107.0327 · arxiv_version: 1107.0327v3 · doi: 10.48550/arxiv.1107.0327 · pith_short_12: KLI5QHQDQ6HB · pith_short_16: KLI5QHQDQ6HBEWK2 · pith_short_8: KLI5QHQD

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/KLI5QHQDQ6HBEWK2LSGDCGAGAS \
  | 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: 52d1d81e03878e12595a5c8c311806048053b253eaabc4fe685a0819471d6763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69f5c597442846b9c81b3de610ba6ae22b4e6498399bfec407579e95ff97f31",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-01T20:23:29Z",
    "title_canon_sha256": "43752dafdba963ea27a95c41689ccab7a942d1df1a880a57e81734ddbfa4432e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0327",
    "kind": "arxiv",
    "version": 3
  }
}