Pith Number

pith:VXQXXVVK

pith:2008:VXQXXVVK534MMVYLWYIYINQLBW

not attested not anchored not stored refs pending

On Duality between Local Maximum Stable Sets of a Graph and its Line-Graph

Eugen Mandrescu, Vadim E. Levit

arxiv:0809.0259 v1 · 2008-09-01 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXQXXVVK534MMVYLWYIYINQLBW}

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	2026-05-18T04:31:12.300031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade17bd6aaeef8c6570bb61184360b0db10a5db75244571ccb06fcaaabb80c19

Aliases

arxiv: 0809.0259 · arxiv_version: 0809.0259v1 · doi: 10.48550/arxiv.0809.0259 · pith_short_12: VXQXXVVK534M · pith_short_16: VXQXXVVK534MMVYL · pith_short_8: VXQXXVVK

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/VXQXXVVK534MMVYLWYIYINQLBW \
  | 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: ade17bd6aaeef8c6570bb61184360b0db10a5db75244571ccb06fcaaabb80c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2f192bd487a48c4ae2a58e3b872b99c5d5f839fd600f313c2e69039af8f619",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-01T15:08:19Z",
    "title_canon_sha256": "db00adf7960ba0ef86d25485727e1e491be3f8866d0ec53dc72c520d3f9632bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0259",
    "kind": "arxiv",
    "version": 1
  }
}