Pith Number

pith:Z7FFPTDZ

pith:2026:Z7FFPTDZ54TCRW3IOPTEODUFTK

not attested not anchored not stored refs pending

A Gaussian Covariance Matrix for Joint Pre- and Post-Reconstruction Full-Shape Power Spectrum Analysis

Gong-Bo Zhao, Kazuya Koyama, Ruiyang Zhao, Yuting Wang

arxiv:2608.05504 v1 · 2026-08-06 · 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{Z7FFPTDZ54TCRW3IOPTEODUFTK}

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	2026-08-07T00:47:59.506163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfca57cc79ef2628db6873e6470e859aa2f59b51395de73e00e50faebc982db2

Aliases

arxiv: 2608.05504 · arxiv_version: 2608.05504v1 · doi: 10.48550/arxiv.2608.05504 · pith_short_12: Z7FFPTDZ54TC · pith_short_16: Z7FFPTDZ54TCRW3I · pith_short_8: Z7FFPTDZ

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/Z7FFPTDZ54TCRW3IOPTEODUFTK \
  | 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: cfca57cc79ef2628db6873e6470e859aa2f59b51395de73e00e50faebc982db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28668c5ad0bdf783f59fa16850b9879942b8562a7957977d0177dd76aa257b28",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-06T01:15:00Z",
    "title_canon_sha256": "8b323ccf288236f47436226801347647d3a2da16c0ec0ce67ee87c698603e74f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05504",
    "kind": "arxiv",
    "version": 1
  }
}