Pith Number

pith:2KWJDCPI

pith:2012:2KWJDCPI7BPPA2OAXAJQJUPVP3

not attested not anchored not stored refs pending

Rainbow $k$-connectivity of random bipartite graphs

Huishu Lian, Xiaolin Chen, Xueliang Li

arxiv:1212.6115 v1 · 2012-12-26 · 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{2KWJDCPI7BPPA2OAXAJQJUPVP3}

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	2026-05-18T03:37:42.729053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ac9189e8f85ef069c0b81304d1f57ecbb0437a67cd1534259f69e682c88357

Aliases

arxiv: 1212.6115 · arxiv_version: 1212.6115v1 · doi: 10.48550/arxiv.1212.6115 · pith_short_12: 2KWJDCPI7BPP · pith_short_16: 2KWJDCPI7BPPA2OA · pith_short_8: 2KWJDCPI

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/2KWJDCPI7BPPA2OAXAJQJUPVP3 \
  | 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: d2ac9189e8f85ef069c0b81304d1f57ecbb0437a67cd1534259f69e682c88357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6892c1ee8fbfa5f10dcd8b665097d72642f34d76018948e6dcf89e5ff2467f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-26T05:26:48Z",
    "title_canon_sha256": "a0de15637bb4301663a8d88a682760287f4d287ba558213f74d70dd9c7879ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6115",
    "kind": "arxiv",
    "version": 1
  }
}