Pith Number

pith:T6LIK6A6

pith:2024:T6LIK6A6AHWNQ4KCNPQCHH7QKH

not attested not anchored not stored refs pending

Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth

Maria Chudnovsky, Sepehr Hajebi, Sophie Spirkl

arxiv:2412.17756 v2 · 2024-12-23 · 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{T6LIK6A6AHWNQ4KCNPQCHH7QKH}

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	2026-07-05T09:54:30.895834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9685781e01ecd871426be0239ff051deeb978ea8950a994d5bf18b216b0c8b

Aliases

arxiv: 2412.17756 · arxiv_version: 2412.17756v2 · doi: 10.48550/arxiv.2412.17756 · pith_short_12: T6LIK6A6AHWN · pith_short_16: T6LIK6A6AHWNQ4KC · pith_short_8: T6LIK6A6

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/T6LIK6A6AHWNQ4KCNPQCHH7QKH \
  | 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: 9f9685781e01ecd871426be0239ff051deeb978ea8950a994d5bf18b216b0c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae9afe03ed60a3a30e9a0518eeddab90771f723b84a9c69f8846888ea276823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-23T18:08:25Z",
    "title_canon_sha256": "99c3c8c442ac227d26bea32d6c20de3018993dd1c1e4cf3a90c30c82793357d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17756",
    "kind": "arxiv",
    "version": 2
  }
}