Pith Number

pith:RIOLWMNB

pith:2013:RIOLWMNBWYLBPI2MEKADSY6TVI

not attested not anchored not stored refs pending

Asymptotic statistics of cycles in surrogate-spatial permutations

Dirk Zeindler, Leonid V. Bogachev

arxiv:1309.7986 v3 · 2013-09-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIOLWMNBWYLBPI2MEKADSY6TVI}

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	2026-05-17T23:39:28.179991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a1cbb31a1b61617a34c22803963d3aa1dc18c377ed8b406f8346cd192cac7e4

Aliases

arxiv: 1309.7986 · arxiv_version: 1309.7986v3 · doi: 10.48550/arxiv.1309.7986 · pith_short_12: RIOLWMNBWYLB · pith_short_16: RIOLWMNBWYLBPI2M · pith_short_8: RIOLWMNB

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/RIOLWMNBWYLBPI2MEKADSY6TVI \
  | 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: 8a1cbb31a1b61617a34c22803963d3aa1dc18c377ed8b406f8346cd192cac7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d3cb2374c9e755449733f03c675bb03b9c88d8e55ec33f264358b107b30a59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-30T19:51:17Z",
    "title_canon_sha256": "95b37055852ae1348cc66a987452de94830dcc54ba06a72fae00f45697a469aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7986",
    "kind": "arxiv",
    "version": 3
  }
}