Pith Number

pith:IGEN6HVQ

pith:2018:IGEN6HVQLFUAMLIKIFH2L4YFQY

not attested not anchored not stored refs pending

Tree decompositions of graphs without large bipartite holes

Hong Liu, Jaehoon Kim, Younjin Kim

arxiv:1807.08423 v2 · 2018-07-23 · 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{IGEN6HVQLFUAMLIKIFH2L4YFQY}

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	2026-05-18T00:07:17.159388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4188df1eb05968062d0a414fa5f30586314d4f9f20e902f203b5e09e9a66edbe

Aliases

arxiv: 1807.08423 · arxiv_version: 1807.08423v2 · doi: 10.48550/arxiv.1807.08423 · pith_short_12: IGEN6HVQLFUA · pith_short_16: IGEN6HVQLFUAMLIK · pith_short_8: IGEN6HVQ

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/IGEN6HVQLFUAMLIKIFH2L4YFQY \
  | 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: 4188df1eb05968062d0a414fa5f30586314d4f9f20e902f203b5e09e9a66edbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d060df7aeb18ff6429e76513d89d449e6c217d9af5d8442bdcd59cea87e93e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-23T03:52:44Z",
    "title_canon_sha256": "c95f0c01e5d97617d11704da8905fba0aa9805235ee2e7840e61398c9d47d763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08423",
    "kind": "arxiv",
    "version": 2
  }
}