Pith Number

pith:MRYL5YRU

pith:2025:MRYL5YRUHP4V5DPM6BW5JSLV32

not attested not anchored not stored refs pending

The longest increasing subsequence of Brownian separable permutons

Arka Adhikari, Delphin S\'enizergues, Jacopo Borga, Thomas Budzinski, William Da Silva

arxiv:2506.19123 v1 · 2025-06-23 · 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{MRYL5YRUHP4V5DPM6BW5JSLV32}

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	2026-07-05T11:26:09.669173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6470bee2343bf95e8decf06dd4c975de9e4e3ecf7af5e3e7a5fc3bcf5277c14e

Aliases

arxiv: 2506.19123 · arxiv_version: 2506.19123v1 · doi: 10.48550/arxiv.2506.19123 · pith_short_12: MRYL5YRUHP4V · pith_short_16: MRYL5YRUHP4V5DPM · pith_short_8: MRYL5YRU

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/MRYL5YRUHP4V5DPM6BW5JSLV32 \
  | 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: 6470bee2343bf95e8decf06dd4c975de9e4e3ecf7af5e3e7a5fc3bcf5277c14e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0938ba69e55fcfaf17119e5ef57608668514ed686b8db113bcbf562f687cdaca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-23T20:51:11Z",
    "title_canon_sha256": "578b579036ac3bff31c3268d93c1851ced43072786746cd7e8ee14ec4f9586d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19123",
    "kind": "arxiv",
    "version": 1
  }
}