Pith Number

pith:6GPX3ZV4

pith:2016:6GPX3ZV4UW7IUAC735OLCFHKRS

not attested not anchored not stored refs pending

Two-connected spanning subgraphs with at most $\frac{10}{7}$OPT edges

Jens Vygen, Klaus Heeger

arxiv:1609.00147 v1 · 2016-09-01 · math.CO · cs.DM · 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{6GPX3ZV4UW7IUAC735OLCFHKRS}

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	2026-05-18T01:04:27.065871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19f7de6bca5be8a005fdf5cb114ea8cb9b399815be2fe1e1453b9b4bfac46d0

Aliases

arxiv: 1609.00147 · arxiv_version: 1609.00147v1 · doi: 10.48550/arxiv.1609.00147 · pith_short_12: 6GPX3ZV4UW7I · pith_short_16: 6GPX3ZV4UW7IUAC7 · pith_short_8: 6GPX3ZV4

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/6GPX3ZV4UW7IUAC735OLCFHKRS \
  | 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: f19f7de6bca5be8a005fdf5cb114ea8cb9b399815be2fe1e1453b9b4bfac46d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921851df67aeaa776e56490ce793cd6f0d13f7b35b0bd2e1abd803e320c419b6",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-01T08:50:54Z",
    "title_canon_sha256": "b8e05b442ad92c791ee88348564d9f523bcd8a62d7b21e28747338ac51c639b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00147",
    "kind": "arxiv",
    "version": 1
  }
}