Pith Number

pith:VKM5MIAE

pith:2020:VKM5MIAE3YYNCMBJ44BFV5W4I3

not attested not anchored not stored refs pending

Approximating pathwidth for graphs of small treewidth

Bartosz Walczak, Carla Groenland, Gwena\"el Joret, Wojciech Nadara

arxiv:2008.00779 v4 · 2020-08-03 · cs.DS · cs.DM · 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{VKM5MIAE3YYNCMBJ44BFV5W4I3}

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	2026-07-05T05:49:52.036730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa99d62004de30d13029e7025af6dc46f2fda17da1ce93fe819c37e5dec291b7

Aliases

arxiv: 2008.00779 · arxiv_version: 2008.00779v4 · doi: 10.48550/arxiv.2008.00779 · pith_short_12: VKM5MIAE3YYN · pith_short_16: VKM5MIAE3YYNCMBJ · pith_short_8: VKM5MIAE

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/VKM5MIAE3YYNCMBJ44BFV5W4I3 \
  | 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: aa99d62004de30d13029e7025af6dc46f2fda17da1ce93fe819c37e5dec291b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ccae5eccb3cc717fdd8dca71974b1f7eb1a92ae1a898b8e4f3d853aefc2ae6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-08-03T11:09:54Z",
    "title_canon_sha256": "a508710dacfb7322213a0210f12404120cb366b4566e8c0cb663d6e2ecef5ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00779",
    "kind": "arxiv",
    "version": 4
  }
}