Pith Number

pith:MLSRSHPD

pith:2017:MLSRSHPDIBN2ZYMW3SNM2XZTZ3

not attested not anchored not stored refs pending

On the probability of nonexistence in binomial subsets

Andreas Noever, Frank Mousset, Konstantinos Panagiotou, Wojciech Samotij

arxiv:1711.06216 v2 · 2017-11-16 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLSRSHPDIBN2ZYMW3SNM2XZTZ3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:48:22.836416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e5191de3405bace196dc9acd5f33ced7b9dbfe0ee386f81ab0b332364d374c

Aliases

arxiv: 1711.06216 · arxiv_version: 1711.06216v2 · doi: 10.48550/arxiv.1711.06216 · pith_short_12: MLSRSHPDIBN2 · pith_short_16: MLSRSHPDIBN2ZYMW · pith_short_8: MLSRSHPD

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/MLSRSHPDIBN2ZYMW3SNM2XZTZ3 \
  | 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: 62e5191de3405bace196dc9acd5f33ced7b9dbfe0ee386f81ab0b332364d374c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3d049258a5020e9b7fb6d896a5f622218da70749e59a64383bb3d63f53bc73",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-16T17:48:38Z",
    "title_canon_sha256": "88dd17f3755dd76a9bfb844274d6070e0d4fce645f8a5f25ae1e35a4e90c52dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06216",
    "kind": "arxiv",
    "version": 2
  }
}