Pith Number

pith:STUQHVCU

pith:2025:STUQHVCU62XQWLFI7ISK3ER7XW

not attested not anchored not stored refs pending

Graphs with no long claws: An improved bound for the analog of the Gy\'{a}rf\'{a}s' path argument

Jana Masa\v{r}\'ikov\'a, Marcin Pilipczuk, Romain Bourneuf, Wojciech Nadara

arxiv:2501.13907 v1 · 2025-01-23 · math.CO · 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{STUQHVCU62XQWLFI7ISK3ER7XW}

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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

Tree independence number V. Walls and claws

Receipt and verification

First computed	2026-07-05T10:04:35.848894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e903d454f6af0b2ca8fa24ad923fbdb2f944fd93352db7b3e50e613f1c6b26

Aliases

arxiv: 2501.13907 · arxiv_version: 2501.13907v1 · doi: 10.48550/arxiv.2501.13907 · pith_short_12: STUQHVCU62XQ · pith_short_16: STUQHVCU62XQWLFI · pith_short_8: STUQHVCU

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/STUQHVCU62XQWLFI7ISK3ER7XW \
  | 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: 94e903d454f6af0b2ca8fa24ad923fbdb2f944fd93352db7b3e50e613f1c6b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a06ae8e864a43a08872d7c2e0790236e185bb8d7c6408e40eb8df6eb8452fc1",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-23T18:37:03Z",
    "title_canon_sha256": "7b809f04dd8f0f25dc3c618a6fdf1acb59f0c55857e91f5e6a2b811da1cf72f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13907",
    "kind": "arxiv",
    "version": 1
  }
}