Pith Number

pith:24YV344G

pith:2013:24YV344GCIWSTIEWU2KOFTWWTQ

not attested not anchored not stored refs pending

"Secret Santa" and the Combined Length of Spanned Cycles in a Random Permutation

Yannai A. Gonczarowski

arxiv:1307.4322 v3 · 2013-07-16 · 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{24YV344GCIWSTIEWU2KOFTWWTQ}

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	2026-05-18T02:30:32.579310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7315df386122d29a096a694e2ced69c2a2c7ef52b4ecdcf2b7bb01e1cabf3d9

Aliases

arxiv: 1307.4322 · arxiv_version: 1307.4322v3 · doi: 10.48550/arxiv.1307.4322 · pith_short_12: 24YV344GCIWS · pith_short_16: 24YV344GCIWSTIEW · pith_short_8: 24YV344G

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/24YV344GCIWSTIEWU2KOFTWWTQ \
  | 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: d7315df386122d29a096a694e2ced69c2a2c7ef52b4ecdcf2b7bb01e1cabf3d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478e56419fa2ff4ce1c90e4b10d63d96fae57aa206e0cc8f75e36d3488ed33b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-16T16:07:36Z",
    "title_canon_sha256": "6d364b4305730fa09bfc0b380348f367b108e423e5e732ce91edc6940c7fa47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4322",
    "kind": "arxiv",
    "version": 3
  }
}