Pith Number

pith:WM45V3LH

pith:2018:WM45V3LHFNATUQADS4DNN2VQDH

not attested not anchored not stored refs pending

Above guarantee parameterization for vertex cover on graphs with maximum degree 4

Dekel Tsur

arxiv:1812.10808 v1 · 2018-12-27 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WM45V3LHFNATUQADS4DNN2VQDH}

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	2026-05-17T23:57:17.015341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b339daed672b413a40039706d6eab019dd882dd879775e2fb321257940e2d196

Aliases

arxiv: 1812.10808 · arxiv_version: 1812.10808v1 · doi: 10.48550/arxiv.1812.10808 · pith_short_12: WM45V3LHFNAT · pith_short_16: WM45V3LHFNATUQAD · pith_short_8: WM45V3LH

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/WM45V3LHFNATUQADS4DNN2VQDH \
  | 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: b339daed672b413a40039706d6eab019dd882dd879775e2fb321257940e2d196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0de8bfacd1cf93b423fd257a034787a097c1c1780ae5d3a24735971f30ee1805",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-12-27T19:45:43Z",
    "title_canon_sha256": "5e9207bfc6977fe26404846a8f508372f802c6eb7bcfece212edc6d315f371a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10808",
    "kind": "arxiv",
    "version": 1
  }
}