Pith Number

pith:XGZMOQ67

pith:2024:XGZMOQ67EMKR443BALYFK75XSJ

not attested not anchored not stored refs pending

Revisiting Extremal Graphs Having No Stable Cutsets

Dieter Rautenbach, Johannes Rauch

arxiv:2412.00337 v1 · 2024-11-30 · 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{XGZMOQ67EMKR443BALYFK75XSJ}

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.

Cited by

1 paper in Pith

Stable cuts, NAC-colourings and flexible realisations of graphs

Receipt and verification

First computed	2026-07-05T09:42:39.802265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b2c743df23151e736102f0557fb792794c25b3835698b57b5f715e46f0bb94

Aliases

arxiv: 2412.00337 · arxiv_version: 2412.00337v1 · doi: 10.48550/arxiv.2412.00337 · pith_short_12: XGZMOQ67EMKR · pith_short_16: XGZMOQ67EMKR443B · pith_short_8: XGZMOQ67

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/XGZMOQ67EMKR443BALYFK75XSJ \
  | 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: b9b2c743df23151e736102f0557fb792794c25b3835698b57b5f715e46f0bb94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e68cd0832a0f3c4d3e629b59f3e4071931b77120aa2d5d09a5937ceaa5016e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-30T03:29:06Z",
    "title_canon_sha256": "dfa839db7feb6077b65fb8d3c906daaf5891f0bf325d1818bda038c03e7105f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00337",
    "kind": "arxiv",
    "version": 1
  }
}