Pith Number

pith:VULVKM6P

pith:2025:VULVKM6PIBFBJ6VX2Z2GQXLX5T

not attested not anchored not stored refs pending

The optimal Pad\'{e} polynomial for reconstruction of luminosity distance based on 10-fold cross-validation

Bo Yu, Tong-Jie Zhang, Wenhu Liu, Xiaofeng Yang, Yanke Tang

arxiv:2507.08695 v1 · 2025-07-11 · astro-ph.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{VULVKM6PIBFBJ6VX2Z2GQXLX5T}

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.

Receipt and verification

First computed	2026-07-05T11:41:44.286607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad175533cf404a14fab7d674685d77ecd805352b70a8a695acbedb06bd954969

Aliases

arxiv: 2507.08695 · arxiv_version: 2507.08695v1 · doi: 10.48550/arxiv.2507.08695 · pith_short_12: VULVKM6PIBFB · pith_short_16: VULVKM6PIBFBJ6VX · pith_short_8: VULVKM6P

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/VULVKM6PIBFBJ6VX2Z2GQXLX5T \
  | 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: ad175533cf404a14fab7d674685d77ecd805352b70a8a695acbedb06bd954969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca1218a3fff283e7fb4047e56d5ff62e1f02118219b245ccdc5b88cc392a2b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-11T15:49:17Z",
    "title_canon_sha256": "0770ac5e8e3bfb2889de40b39bbabe1e37069fd1e4fd4f63dbf348dab7a259d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08695",
    "kind": "arxiv",
    "version": 1
  }
}