Pith Number

pith:ASAOAHA5

pith:2021:ASAOAHA5JCXPSJUB7NPVDXVF4O

not attested not anchored not stored refs pending

Linear-sized independent sets in random cographs and increasing subsequences in separable permutations

Adeline Pierrot, Fr\'ed\'erique Bassino, Lucas Gerin, Mathilde Bouvel, Michael Drmota, Micka\"el Maazoun, Valentin F\'eray

arxiv:2104.07444 v3 · 2021-04-15 · 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{ASAOAHA5JCXPSJUB7NPVDXVF4O}

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	2026-07-05T05:47:55.025551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0480e01c1d48aef92681fb5f51dea5e3b381fbc575889c85463af766a28fd2f8

Aliases

arxiv: 2104.07444 · arxiv_version: 2104.07444v3 · doi: 10.48550/arxiv.2104.07444 · pith_short_12: ASAOAHA5JCXP · pith_short_16: ASAOAHA5JCXPSJUB · pith_short_8: ASAOAHA5

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/ASAOAHA5JCXPSJUB7NPVDXVF4O \
  | 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: 0480e01c1d48aef92681fb5f51dea5e3b381fbc575889c85463af766a28fd2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03adcb95898a2f66b99764b79e13b3352d2d0141c6fb2d875a3160aa659e3bb9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-15T13:25:14Z",
    "title_canon_sha256": "f1d02be09cd622daf930f4c50f6d7f128a8120817ac5d143f6169ec419da5b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07444",
    "kind": "arxiv",
    "version": 3
  }
}