Pith Number

pith:4K4B7MGC

pith:2011:4K4B7MGCK5EI5DXAOEU7LCW2M5

not attested not anchored not stored refs pending

Rainbow vertex-connection number of 2-connected graphs

Sujuan Liu, Xueliang Li

arxiv:1110.5770 v1 · 2011-10-26 · 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{4K4B7MGCK5EI5DXAOEU7LCW2M5}

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	2026-05-18T04:10:11.332206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b81fb0c257488e8ee07129f58ada67635d99713e290dba8998814f47014f58

Aliases

arxiv: 1110.5770 · arxiv_version: 1110.5770v1 · doi: 10.48550/arxiv.1110.5770 · pith_short_12: 4K4B7MGCK5EI · pith_short_16: 4K4B7MGCK5EI5DXA · pith_short_8: 4K4B7MGC

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/4K4B7MGCK5EI5DXAOEU7LCW2M5 \
  | 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: e2b81fb0c257488e8ee07129f58ada67635d99713e290dba8998814f47014f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65781c090f87643d84cb8d2392260b56866c3f46f4f28028bba9f51a9daa0b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-26T11:53:24Z",
    "title_canon_sha256": "37c4955144b4afd64bb740ccf9f9d2a14bb262beb4ccd051113d9700bc8668a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5770",
    "kind": "arxiv",
    "version": 1
  }
}