Pith Number

pith:X6HOR63A

pith:2017:X6HOR63A3I5YVWKNLRZ5IBTMIC

not attested not anchored not stored refs pending

Sufficient conditions for graphs to be $k$-connected, maximally connected and super-connected

Fuyuan Chen, Lutz Volkmann, Zheng-Jiang Xia, Zhen-Mu Hong

arxiv:1708.05396 v1 · 2017-08-17 · 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{X6HOR63A3I5YVWKNLRZ5IBTMIC}

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	2026-05-18T00:37:50.193654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8ee8fb60da3b8ad94d5c73d4066c4084be09afb278302a59854b3d5153f152

Aliases

arxiv: 1708.05396 · arxiv_version: 1708.05396v1 · doi: 10.48550/arxiv.1708.05396 · pith_short_12: X6HOR63A3I5Y · pith_short_16: X6HOR63A3I5YVWKN · pith_short_8: X6HOR63A

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/X6HOR63A3I5YVWKNLRZ5IBTMIC \
  | 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: bf8ee8fb60da3b8ad94d5c73d4066c4084be09afb278302a59854b3d5153f152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5f45640a4d860824ed9c816bd2a495610cf3818be8bae5bc3bd286d8ac746cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-17T18:07:49Z",
    "title_canon_sha256": "2685b904e61d2ab18b9cad21b5c82d1300d646ad06a700de3ec71419b1df3b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05396",
    "kind": "arxiv",
    "version": 1
  }
}