Pith Number

pith:7NJHIGR7

pith:2025:7NJHIGR7AKFE6Y4OJO2MCD4V6J

not attested not anchored not stored refs pending

New bounds for linear arboricity and related problems

Alp M\"uyesser, Ant\'onio Gir\~ao, Eoin Hurley, Lukas Michel, Micha Christoph, Nemanja Dragani\'c

arxiv:2507.20500 v1 · 2025-07-28 · 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{7NJHIGR7AKFE6Y4OJO2MCD4V6J}

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

2 papers in Pith

Dirac subgraphs of powers of cycles are Hamiltonian

The Lov\'asz conjecture holds for moderately dense Cayley graphs

Receipt and verification

First computed	2026-07-05T11:44:20.303939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb52741a3f028a4f638e4bb4c10f95f254b6a6ed84d3f30cd4f6cb6225b7b632

Aliases

arxiv: 2507.20500 · arxiv_version: 2507.20500v1 · doi: 10.48550/arxiv.2507.20500 · pith_short_12: 7NJHIGR7AKFE · pith_short_16: 7NJHIGR7AKFE6Y4O · pith_short_8: 7NJHIGR7

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/7NJHIGR7AKFE6Y4OJO2MCD4V6J \
  | 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: fb52741a3f028a4f638e4bb4c10f95f254b6a6ed84d3f30cd4f6cb6225b7b632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a89ba8fb880c43240a198d41db9e296a454e3d3fbe637709209ac1148b4f33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-28T03:39:30Z",
    "title_canon_sha256": "03df9da5e086f9e679070379c89d76ba3707e2b7ba265aeb334d6117db6adee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20500",
    "kind": "arxiv",
    "version": 1
  }
}