Pith Number

pith:L2XQB7ET

pith:2023:L2XQB7ET37JDCPCGNI2NKD5MQC

not attested not anchored not stored refs pending

Subgraph densities and scaling limits of random graphs with a prescribed modular decomposition

Th\'eo Lenoir

arxiv:2310.01318 v2 · 2023-10-02 · math.CO · 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{L2XQB7ET37JDCPCGNI2NKD5MQC}

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	2026-07-05T07:04:00.580018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eaf00fc93dfd2313c466a34d50fac809b4d1a82d3e2c731f0584db1fac36f0a

Aliases

arxiv: 2310.01318 · arxiv_version: 2310.01318v2 · doi: 10.48550/arxiv.2310.01318 · pith_short_12: L2XQB7ET37JD · pith_short_16: L2XQB7ET37JDCPCG · pith_short_8: L2XQB7ET

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/L2XQB7ET37JDCPCGNI2NKD5MQC \
  | 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: 5eaf00fc93dfd2313c466a34d50fac809b4d1a82d3e2c731f0584db1fac36f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae2987731d0c3fbeaf63bd4890a58271bee58a4713340aeae7e3e3aed81335e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-02T16:26:44Z",
    "title_canon_sha256": "b690749f1917b104fb4783bedaf16ea8f74f203d642d7b6e1239a90244de0783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01318",
    "kind": "arxiv",
    "version": 2
  }
}