Pith Number

pith:5BPQHXZN

pith:2011:5BPQHXZNIO4HTEV3WRHXC4FE7J

not attested not anchored not stored refs pending

Sharp upper bound for the rainbow connection number of a graph with diameter 2

Jiuying Dong, Xueliang Li

arxiv:1106.1258 v3 · 2011-06-07 · 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{5BPQHXZNIO4HTEV3WRHXC4FE7J}

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	2026-05-18T04:12:32.120868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85f03df2d43b87992bbb44f7170a4fa77f8f1ae0a20995dd663fb4ccf38ffff

Aliases

arxiv: 1106.1258 · arxiv_version: 1106.1258v3 · doi: 10.48550/arxiv.1106.1258 · pith_short_12: 5BPQHXZNIO4H · pith_short_16: 5BPQHXZNIO4HTEV3 · pith_short_8: 5BPQHXZN

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/5BPQHXZNIO4HTEV3WRHXC4FE7J \
  | 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: e85f03df2d43b87992bbb44f7170a4fa77f8f1ae0a20995dd663fb4ccf38ffff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112ea4225261c9594aa30e34adbd95d10e701aa6d94fec41837ecd082234b755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-07T05:06:47Z",
    "title_canon_sha256": "5f5dc4006701268549ef54ccc45e2fd7c850080bd50a5e67dd9f2c9257f728ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1258",
    "kind": "arxiv",
    "version": 3
  }
}