Pith Number

pith:VRJ5PPA6

pith:2018:VRJ5PPA6VRL3URKODOSGEPDRQM

not attested not anchored not stored refs pending

A note on independence number, connectivity and $k$-ended tree

Pham Hoang Ha

arxiv:1810.11242 v1 · 2018-10-26 · 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{VRJ5PPA6VRL3URKODOSGEPDRQM}

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	2026-05-18T00:02:14.721305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac53d7bc1eac57ba454e1ba4623c7183274b711a0a3f726e7fe4b99bde607c70

Aliases

arxiv: 1810.11242 · arxiv_version: 1810.11242v1 · doi: 10.48550/arxiv.1810.11242 · pith_short_12: VRJ5PPA6VRL3 · pith_short_16: VRJ5PPA6VRL3URKO · pith_short_8: VRJ5PPA6

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/VRJ5PPA6VRL3URKODOSGEPDRQM \
  | 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: ac53d7bc1eac57ba454e1ba4623c7183274b711a0a3f726e7fe4b99bde607c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cb99267a782edbab0e9b432d40c3c2b944c0108ab515640a85e87cb03baae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-26T10:01:37Z",
    "title_canon_sha256": "0bcb3440f22bdaf8b9dd8710f0556c79757e8aeb5d8a1b04ae86ad119cddfab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11242",
    "kind": "arxiv",
    "version": 1
  }
}