Pith Number

pith:CSCMVJSJ

pith:2024:CSCMVJSJMRYH4WOZRAFLGE74DI

not attested not anchored not stored refs pending

The largest subgraph without a forbidden induced subgraph

Huy Tuan Pham, Jacob Fox, Rajko Nenadov

arxiv:2405.05902 v2 · 2024-05-09 · 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{CSCMVJSJMRYH4WOZRAFLGE74DI}

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

$C_4$-free subgraphs of high degree with geometric applications

Receipt and verification

First computed	2026-07-05T08:29:00.510889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1484caa64964707e59d9880ab313fc1a18aa41a99048193450911931fed65f01

Aliases

arxiv: 2405.05902 · arxiv_version: 2405.05902v2 · doi: 10.48550/arxiv.2405.05902 · pith_short_12: CSCMVJSJMRYH · pith_short_16: CSCMVJSJMRYH4WOZ · pith_short_8: CSCMVJSJ

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/CSCMVJSJMRYH4WOZRAFLGE74DI \
  | 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: 1484caa64964707e59d9880ab313fc1a18aa41a99048193450911931fed65f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd84a425f8822c746bbc382f3e97b8211636421c7040f6fe5e639eb8b3fd3d3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-09T16:54:47Z",
    "title_canon_sha256": "04f88572ba42da15f52dea2971cf76c0eeb6f69b0dde2455c985272bb4c382ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05902",
    "kind": "arxiv",
    "version": 2
  }
}