Pith Number

pith:LO6H3QJV

pith:2024:LO6H3QJVQ2Y37G4LGE2PYMCKQB

not attested not anchored not stored refs pending

Tensorial free convolution, semicircular, free Poisson and R-transform in high order

Remi Bonnin

arxiv:2412.02572 v2 · 2024-12-03 · math.OA · math-ph · math.CO · math.MP · 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{LO6H3QJVQ2Y37G4LGE2PYMCKQB}

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	2026-07-05T10:21:26.674058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bbc7dc13586b1bf9b8b3134fc304a807eb88a8999d02c25c8c0d61301342d1f

Aliases

arxiv: 2412.02572 · arxiv_version: 2412.02572v2 · doi: 10.48550/arxiv.2412.02572 · pith_short_12: LO6H3QJVQ2Y3 · pith_short_16: LO6H3QJVQ2Y37G4L · pith_short_8: LO6H3QJV

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/LO6H3QJVQ2Y37G4LGE2PYMCKQB \
  | 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: 5bbc7dc13586b1bf9b8b3134fc304a807eb88a8999d02c25c8c0d61301342d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888240ea228502f5f5aa74e2a1cf101ce3aca0a807b3e0670d4a97e4aed89682",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-03T16:56:01Z",
    "title_canon_sha256": "91ea74b5a17783abad123a255747416832a1c5939e729c3924d07f87b33aa8e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02572",
    "kind": "arxiv",
    "version": 2
  }
}