Pith Number

pith:56XCOTVM

pith:2021:56XCOTVMVMIE5V2AC2B3Y5E2ZA

not attested not anchored not stored refs pending

The skew Brownian permuton: a new universality class for random constrained permutations

Jacopo Borga

arxiv:2112.00156 v3 · 2021-11-30 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56XCOTVMVMIE5V2AC2B3Y5E2ZA}

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

The longest increasing subsequence of Brownian separable permutons

Receipt and verification

First computed	2026-07-05T12:06:56.458491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efae274eacab104ed7401683bc749ac8165b11f81c521f9e5c921ba4e18aea14

Aliases

arxiv: 2112.00156 · arxiv_version: 2112.00156v3 · doi: 10.48550/arxiv.2112.00156 · pith_short_12: 56XCOTVMVMIE · pith_short_16: 56XCOTVMVMIE5V2A · pith_short_8: 56XCOTVM

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/56XCOTVMVMIE5V2AC2B3Y5E2ZA \
  | 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: efae274eacab104ed7401683bc749ac8165b11f81c521f9e5c921ba4e18aea14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae9c8df5f484559081a2f1a0ebf9b625b15b70a8df48b9892bca3b40aec90f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-30T22:54:36Z",
    "title_canon_sha256": "c214e61f4e39b1b1c848cdf61e13967bbd4ff521f7f13106c0387b28d0d0812a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00156",
    "kind": "arxiv",
    "version": 3
  }
}