Pith Number

pith:OD5ROD32

pith:2018:OD5ROD32KONCMJECDBP76LGNZ6

not attested not anchored not stored refs pending

Joint Distributions of Permutation Statistics and the Parabolic Cylinder Functions

Amy M. Fu, Frank Z.K. Li

arxiv:1809.07465 v1 · 2018-09-20 · 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{OD5ROD32KONCMJECDBP76LGNZ6}

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	2026-05-18T00:05:16.236719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fb170f7a539a262482185fff2ccdcf86eaa57903201e6b12d6b8f1f23a79b5

Aliases

arxiv: 1809.07465 · arxiv_version: 1809.07465v1 · doi: 10.48550/arxiv.1809.07465 · pith_short_12: OD5ROD32KONC · pith_short_16: OD5ROD32KONCMJEC · pith_short_8: OD5ROD32

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/OD5ROD32KONCMJECDBP76LGNZ6 \
  | 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: 70fb170f7a539a262482185fff2ccdcf86eaa57903201e6b12d6b8f1f23a79b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da2161900fbe3fa2032e8375c9e548a7b16ac969799ca31f973fa4366e1d0f8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-20T04:01:44Z",
    "title_canon_sha256": "bcb654f41e02f4d4da347d1428dfa3b177af7cfd3bbbc3d6561386a7d1d02a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07465",
    "kind": "arxiv",
    "version": 1
  }
}