Pith Number

pith:JJSGBVOC

pith:2023:JJSGBVOCYUOM7HX7F26PF5ZJHJ

not attested not anchored not stored refs pending

Twin-width of subdivisions of multigraphs

Debsoumya Chakraborti, Jungho Ahn, Kevin Hendrey, Sang-il Oum

arxiv:2306.05334 v2 · 2023-06-08 · 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{JJSGBVOCYUOM7HX7F26PF5ZJHJ}

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

Twin-width one

Receipt and verification

First computed	2026-07-05T11:53:38.733360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6460d5c2c51ccf9eff2ebcf2f7293a46cdf5c8700c096d5eb38f06e155cb4c

Aliases

arxiv: 2306.05334 · arxiv_version: 2306.05334v2 · doi: 10.48550/arxiv.2306.05334 · pith_short_12: JJSGBVOCYUOM · pith_short_16: JJSGBVOCYUOM7HX7 · pith_short_8: JJSGBVOC

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/JJSGBVOCYUOM7HX7F26PF5ZJHJ \
  | 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: 4a6460d5c2c51ccf9eff2ebcf2f7293a46cdf5c8700c096d5eb38f06e155cb4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6797541748fa881341cc7c37c7a9065f9f010145059360757a6ddec70fb91da3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-08T16:33:28Z",
    "title_canon_sha256": "052234cc0ff701f923d5a6bad5e33eff18eba1cdcf02ff6db4b41d4637754b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05334",
    "kind": "arxiv",
    "version": 2
  }
}