Pith Number

pith:P6SQNPPO

pith:2025:P6SQNPPOWP6RQMYIM5OYYVMZTM

not attested not anchored not stored refs pending

Concentration of the maximum size of an induced subtree in moderately sparse random graphs

Juan Carlos Buitrago Oropeza

arxiv:2506.02801 v2 · 2025-06-03 · 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{P6SQNPPOWP6RQMYIM5OYYVMZTM}

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	2026-07-05T11:31:07.400079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa506bdeeb3fd183308675d8c55999b3787e0ab43c7fdba92703451263bfc4e

Aliases

arxiv: 2506.02801 · arxiv_version: 2506.02801v2 · doi: 10.48550/arxiv.2506.02801 · pith_short_12: P6SQNPPOWP6R · pith_short_16: P6SQNPPOWP6RQMYI · pith_short_8: P6SQNPPO

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/P6SQNPPOWP6RQMYIM5OYYVMZTM \
  | 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: 7fa506bdeeb3fd183308675d8c55999b3787e0ab43c7fdba92703451263bfc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ef2d535e57b1a8459caae965dd77796f2ffdf5cd3cbae6b0c933ed825e73ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-03T12:32:26Z",
    "title_canon_sha256": "305827962e7209525ab160c0929a69c009a24f171cf9862517e1c169555a2aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02801",
    "kind": "arxiv",
    "version": 2
  }
}