Pith Number

pith:6EDGS2YB

pith:2010:6EDGS2YB2HK2TJXCPKF7QX4SPL

not attested not anchored not stored refs pending

The generalized connectivity of complete bipartite graphs

Shasha Li, Wei Li, Xueliang Li

arxiv:1012.5710 v1 · 2010-12-28 · 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{6EDGS2YB2HK2TJXCPKF7QX4SPL}

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	2026-05-18T04:32:22.444400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f106696b01d1d5a9a6e27a8bf85f927affafd4acb9f122bba5852ada3918c36a

Aliases

arxiv: 1012.5710 · arxiv_version: 1012.5710v1 · doi: 10.48550/arxiv.1012.5710 · pith_short_12: 6EDGS2YB2HK2 · pith_short_16: 6EDGS2YB2HK2TJXC · pith_short_8: 6EDGS2YB

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/6EDGS2YB2HK2TJXCPKF7QX4SPL \
  | 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: f106696b01d1d5a9a6e27a8bf85f927affafd4acb9f122bba5852ada3918c36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1bfea33d430ef0099d70b76fbc086c76e85ce2006bbfed0ac3a4409c2b4ec4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-28T07:48:14Z",
    "title_canon_sha256": "16218fd900dd83765085f2a19f0902472824dfb6cc084d4bcf855b372a7f8795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5710",
    "kind": "arxiv",
    "version": 1
  }
}