Pith Number

pith:23R5PPPC

pith:2025:23R5PPPC24UHJVJ3AKRU7LPYMH

not attested not anchored not stored refs pending

An A{\alpha}-spectral radius for the existence of {P3, P4, P5}-factors in graphs

Sizhong Zhou, Yuli Zhang

arxiv:2501.05029 v1 · 2025-01-09 · 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{23R5PPPC24UHJVJ3AKRU7LPYMH}

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

FedStrategist: A Meta-Learning Framework for Adaptive and Robust Aggregation in Federated Learning

Receipt and verification

First computed	2026-07-05T09:58:50.921878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e3d7bde2d72874d53b02a34fadf861da1c599012b323c54fb641dd6ff5f01e

Aliases

arxiv: 2501.05029 · arxiv_version: 2501.05029v1 · doi: 10.48550/arxiv.2501.05029 · pith_short_12: 23R5PPPC24UH · pith_short_16: 23R5PPPC24UHJVJ3 · pith_short_8: 23R5PPPC

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/23R5PPPC24UHJVJ3AKRU7LPYMH \
  | 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: d6e3d7bde2d72874d53b02a34fadf861da1c599012b323c54fb641dd6ff5f01e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9ef91de0476bb277061022e29db76767c2262925a7b8b843dd467af29e2a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-09T07:37:39Z",
    "title_canon_sha256": "5b0512029b2c1889941705b7db1fa9dee883aab07f90ac3c7cf4cdaa9876bf4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05029",
    "kind": "arxiv",
    "version": 1
  }
}