Pith Number

pith:VPVI4WYQ

pith:2021:VPVI4WYQAXSYUOVNNVYKCOGNSJ

not attested not anchored not stored refs pending

Compact representation for matrices of bounded twin-width

Anna Zych-Pawlewicz, Marek Soko{\l}owski, Micha{\l} Pilipczuk

arxiv:2110.08106 v1 · 2021-10-15 · 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{VPVI4WYQAXSYUOVNNVYKCOGNSJ}

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	2026-07-05T03:23:00.577104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abea8e5b1005e58a3aad6d70a138cd924e1c8fa828bca21cd1ca2566b231c080

Aliases

arxiv: 2110.08106 · arxiv_version: 2110.08106v1 · doi: 10.48550/arxiv.2110.08106 · pith_short_12: VPVI4WYQAXSY · pith_short_16: VPVI4WYQAXSYUOVN · pith_short_8: VPVI4WYQ

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/VPVI4WYQAXSYUOVNNVYKCOGNSJ \
  | 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: abea8e5b1005e58a3aad6d70a138cd924e1c8fa828bca21cd1ca2566b231c080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2fc0410b14d126b48d09ac98d24cb656074e9f06e7c83cbf974fcc9e3cad561",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-10-15T14:07:39Z",
    "title_canon_sha256": "65cfec372f7769388a724de48abfac2cb6966913fbe85262d6848caa6f6073dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08106",
    "kind": "arxiv",
    "version": 1
  }
}