Pith Number

pith:A4MIXJ64

pith:2015:A4MIXJ64LSOB4F2GPSJR6MTBP5

not attested not anchored not stored refs pending

Computing derangement probabilities of the symmetric group acting on k-sets

John R. Britnell, Mark Wildon

arxiv:1511.04106 v1 · 2015-11-12 · 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{A4MIXJ64LSOB4F2GPSJR6MTBP5}

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	2026-05-18T01:26:59.671160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07188ba7dc5c9c1e17467c931f32617f5c7ef8678198158d94685b743e75e888

Aliases

arxiv: 1511.04106 · arxiv_version: 1511.04106v1 · doi: 10.48550/arxiv.1511.04106 · pith_short_12: A4MIXJ64LSOB · pith_short_16: A4MIXJ64LSOB4F2G · pith_short_8: A4MIXJ64

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/A4MIXJ64LSOB4F2GPSJR6MTBP5 \
  | 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: 07188ba7dc5c9c1e17467c931f32617f5c7ef8678198158d94685b743e75e888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94a15b798b25cfecd4c5a4464ab6ea17a5064854b85f6347efdaa0aff1028e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-12T21:58:43Z",
    "title_canon_sha256": "d7f82ba899c95897f07fd7a63c1c312cd27a5b24abac92e8982afe6c2f130c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04106",
    "kind": "arxiv",
    "version": 1
  }
}