Pith Number

pith:REV7KYFW

pith:2023:REV7KYFWMIIIJA2H5C6E2WG2UH

not attested not anchored not stored refs pending

Graph classes with few $P_4$'s: Universality and Brownian graphon limits

Th\'eo Lenoir

arxiv:2301.13607 v3 · 2023-01-31 · 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{REV7KYFWMIIIJA2H5C6E2WG2UH}

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	2026-07-05T07:04:12.486772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892bf560b66210848347e8bc4d58daa1f6b308eaec95b830abf38f4e1de11068

Aliases

arxiv: 2301.13607 · arxiv_version: 2301.13607v3 · doi: 10.48550/arxiv.2301.13607 · pith_short_12: REV7KYFWMIII · pith_short_16: REV7KYFWMIIIJA2H · pith_short_8: REV7KYFW

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/REV7KYFWMIIIJA2H5C6E2WG2UH \
  | 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: 892bf560b66210848347e8bc4d58daa1f6b308eaec95b830abf38f4e1de11068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34bb7ad1a1bf5ee91a34ef8cd4d1fd2319535b8c85e9bd5428c6b2c55571990c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-31T13:07:38Z",
    "title_canon_sha256": "b2ab70c166e274344f07640785e47861b4d9f607b77646b531458583e0d95587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.13607",
    "kind": "arxiv",
    "version": 3
  }
}