Pith Number

pith:OKF2TW2T

pith:2023:OKF2TW2TGQFRD3SKROXCJ6GZVK

not attested not anchored not stored refs pending

Comparing Width Parameters on Graph Classes

Andrea Munaro, Dani\"el Paulusma, Nick Brettell, Shizhou Yang

arxiv:2308.05817 v3 · 2023-08-10 · 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{OKF2TW2TGQFRD3SKROXCJ6GZVK}

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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.

Cited by

1 paper in Pith

The Twin-Width of Graphs of Bounded VC-Dimension

Receipt and verification

First computed	2026-07-05T10:51:59.285444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728ba9db53340b11ee4a8bae24f8d9aaa511c1f01946990938f56901f7f2c61b

Aliases

arxiv: 2308.05817 · arxiv_version: 2308.05817v3 · doi: 10.48550/arxiv.2308.05817 · pith_short_12: OKF2TW2TGQFR · pith_short_16: OKF2TW2TGQFRD3SK · pith_short_8: OKF2TW2T

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/OKF2TW2TGQFRD3SKROXCJ6GZVK \
  | 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: 728ba9db53340b11ee4a8bae24f8d9aaa511c1f01946990938f56901f7f2c61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e502cee3ee0b2d00e2e7e306bd508803a29a9ace4249befe4104f0b8aca54b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-10T18:34:18Z",
    "title_canon_sha256": "b6bfcfba9fee99875d45449be02f3845fda1e3f04267ab20415f3deeeb884fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05817",
    "kind": "arxiv",
    "version": 3
  }
}