Pith Number

pith:JWDYAHHC

pith:2025:JWDYAHHCESJZEQGLWWFEABZWPQ

not attested not anchored not stored refs pending

Twin-width one

Amadeus Reinald, Christophe Paul, Hugo Jacob, Jungho Ahn, Noleen K\"ohler, Sebastian Wiederrecht

arxiv:2501.00991 v1 · 2025-01-02 · cs.DM · cs.DS · 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{JWDYAHHCESJZEQGLWWFEABZWPQ}

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.

Cited by

1 paper in Pith

The Twin-Width of Graphs of Bounded VC-Dimension

Receipt and verification

First computed	2026-07-05T09:56:12.882323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d87801ce224939240cbb58a4007367c2e23e70029a45e9e8c0237cf6cba3051

Aliases

arxiv: 2501.00991 · arxiv_version: 2501.00991v1 · doi: 10.48550/arxiv.2501.00991 · pith_short_12: JWDYAHHCESJZ · pith_short_16: JWDYAHHCESJZEQGL · pith_short_8: JWDYAHHC

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/JWDYAHHCESJZEQGLWWFEABZWPQ \
  | 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: 4d87801ce224939240cbb58a4007367c2e23e70029a45e9e8c0237cf6cba3051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8efbce8ba30a066494433df26572b851c4f842dcd076b884882b02022d0bc6",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-01-02T00:56:11Z",
    "title_canon_sha256": "80e720738122fc1cb05339b8d53355cfaa87cc6f66896f84fcf518efa3f9c7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00991",
    "kind": "arxiv",
    "version": 1
  }
}