Pith Number

pith:3DQXPH5T

pith:2026:3DQXPH5T66UXQD54PHLTI4CFAY

not attested not anchored not stored refs pending

Independent Set Hardness in Graphs of Bounded Twin-Width and Low-Radius Merge-Width

\'Edouard Bonnet, Julien Duron, Ma\"el Dumas

arxiv:2607.00244 v1 · 2026-06-30 · cs.CC · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DQXPH5T66UXQD54PHLTI4CFAY}

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	2026-07-02T00:18:40.816923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e1779fb3f7a9780fbc79d734704506064abda181385b8069d04e4f6e0a69b4

Aliases

arxiv: 2607.00244 · arxiv_version: 2607.00244v1 · doi: 10.48550/arxiv.2607.00244 · pith_short_12: 3DQXPH5T66UX · pith_short_16: 3DQXPH5T66UXQD54 · pith_short_8: 3DQXPH5T

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/3DQXPH5T66UXQD54PHLTI4CFAY \
  | 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: d8e1779fb3f7a9780fbc79d734704506064abda181385b8069d04e4f6e0a69b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853ca7927cd47db1829dc5d71b77fefaf648f1c5b913eea67d516b466a57954d",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-30T22:43:46Z",
    "title_canon_sha256": "ced78a4f1094ce959835b6e285a32feb57e6b77347732bed707038d34eb82cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00244",
    "kind": "arxiv",
    "version": 1
  }
}