Pith Number

pith:6BWG5EMU

pith:2026:6BWG5EMU6KFJOPIETASCFLPXG3

not attested not anchored not stored refs pending

Optimal tree-decompositions with bags of bounded pathwidth

David R. Wood, J\k{e}drzej Hodor, Kevin Hendrey, Robert Hickingbotham

arxiv:2607.27601 v1 · 2026-07-30 · 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{6BWG5EMU6KFJOPIETASCFLPXG3}

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	2026-07-31T01:27:04.045299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f06c6e9194f28a973d04982422adf736cea9686afaea33984e7cc706b76ca3af

Aliases

arxiv: 2607.27601 · arxiv_version: 2607.27601v1 · doi: 10.48550/arxiv.2607.27601 · pith_short_12: 6BWG5EMU6KFJ · pith_short_16: 6BWG5EMU6KFJOPIE · pith_short_8: 6BWG5EMU

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/6BWG5EMU6KFJOPIETASCFLPXG3 \
  | 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: f06c6e9194f28a973d04982422adf736cea9686afaea33984e7cc706b76ca3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b22a88fa259d56e2f69c16bc36934b0ec08c8e3310ff9259139f7c55ec7e65",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T02:43:49Z",
    "title_canon_sha256": "5d47f8ac4aa7c336186b45bdb73631d1836950f190908c62af1c2b7a282b5248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27601",
    "kind": "arxiv",
    "version": 1
  }
}