Pith Number

pith:BN3XCMOS

pith:2016:BN3XCMOSFPBHQEC7PMB5R6M2JZ

not attested not anchored not stored refs pending

Lagrange inversion formula, Laguerre polynomials and the free unitary Brownian motion

Nizar Demni

arxiv:1606.03755 v3 · 2016-06-12 · math.PR · 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{BN3XCMOSFPBHQEC7PMB5R6M2JZ}

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

1 paper in Pith

Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

Receipt and verification

First computed	2026-05-18T01:12:11.363696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b777131d22bc278105f7b03d8f99a4e4383dd21df7b206d0318605b556af2b8

Aliases

arxiv: 1606.03755 · arxiv_version: 1606.03755v3 · doi: 10.48550/arxiv.1606.03755 · pith_short_12: BN3XCMOSFPBH · pith_short_16: BN3XCMOSFPBHQEC7 · pith_short_8: BN3XCMOS

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/BN3XCMOSFPBHQEC7PMB5R6M2JZ \
  | 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: 0b777131d22bc278105f7b03d8f99a4e4383dd21df7b206d0318605b556af2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dd99cb2e405ccc301e737bb49c9ace273712d4dd815aae8193da45744730f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-12T18:48:32Z",
    "title_canon_sha256": "f15b704e440c7bdde80c7614b2d6f07841bdca1718263180b0eb02aa16fc4141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03755",
    "kind": "arxiv",
    "version": 3
  }
}