Pith Number

pith:CMTG6AEL

pith:2018:CMTG6AELTKICGLCUWCLE7SIWQE

not attested not anchored not stored refs pending

Hypergraphs not containing a tight tree with a bounded trunk ~II: 3-trees with a trunk of size 2

Alexandr Kostochka, Dhruv Mubayi, Jacques Verstra\"ete, Tao Jiang, Zolt\'an F\"uredi

arxiv:1807.07057 v2 · 2018-07-18 · 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{CMTG6AELTKICGLCUWCLE7SIWQE}

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	2026-05-17T23:54:59.033517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13266f008b9a90232c54b0964fc9168107f104806de0c86373053fe1ad2c0ae6

Aliases

arxiv: 1807.07057 · arxiv_version: 1807.07057v2 · doi: 10.48550/arxiv.1807.07057 · pith_short_12: CMTG6AELTKIC · pith_short_16: CMTG6AELTKICGLCU · pith_short_8: CMTG6AEL

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/CMTG6AELTKICGLCUWCLE7SIWQE \
  | 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: 13266f008b9a90232c54b0964fc9168107f104806de0c86373053fe1ad2c0ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb62a40cdf5ff485b0390ee7bdfcb7923b06211d0b8f508cd89f3d60c40c414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-18T17:48:00Z",
    "title_canon_sha256": "629b5c0ff1da04881ebd63998cf30cfe2a5ad6554daa134bf24d24c7de19428a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07057",
    "kind": "arxiv",
    "version": 2
  }
}