Pith Number

pith:NJBJ43EX

pith:2015:NJBJ43EXKBW377BNHEPK6FM3FI

not attested not anchored not stored refs pending

Random Partitions and the Quantum Benjamin-Ono Hierarchy

Alexander Moll

arxiv:1508.03063 v3 · 2015-08-12 · math-ph · math.CO · math.MP · math.PR · math.RT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJBJ43EXKBW377BNHEPK6FM3FI}

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.

Cited by

2 papers in Pith

$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras

A formula for the Jack super nabla operator

Receipt and verification

First computed	2026-05-18T00:38:04.650407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a429e6c97506dbffc2d391eaf159b2a1dd21a7bf8cc3b2e3caaf0e0e22a307d

Aliases

arxiv: 1508.03063 · arxiv_version: 1508.03063v3 · doi: 10.48550/arxiv.1508.03063 · pith_short_12: NJBJ43EXKBW3 · pith_short_16: NJBJ43EXKBW377BN · pith_short_8: NJBJ43EX

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/NJBJ43EXKBW377BNHEPK6FM3FI \
  | 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: 6a429e6c97506dbffc2d391eaf159b2a1dd21a7bf8cc3b2e3caaf0e0e22a307d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847a78a21b21263cad9177469a2d420e992d2491b5751a57e198eed032605434",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-12T20:39:57Z",
    "title_canon_sha256": "7c80f9724962b145adbf3b22c73f9cf2994f91f458bf55a3aa9a494617d36981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03063",
    "kind": "arxiv",
    "version": 3
  }
}