Pith Number

pith:GXATX7LP

pith:2025:GXATX7LPS5YIDGALP6GGWRZQYC

not attested not anchored not stored refs pending

Analytical Template for the 4-Point Correlation Function Covariance Beyond the Gaussian Random Field ${\rm I}$: 1-Loop Corrections involving Second-Order Densities

William Ortol\'a Leonard, Zachary Slepian

arxiv:2509.05419 v1 · 2025-09-05 · 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{GXATX7LPS5YIDGALP6GGWRZQYC}

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	2026-07-05T12:05:47.138472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c13bfd6f977081980b7f8c6b4730c0910d08e03d135e3b05bc86e5dff8935c

Aliases

arxiv: 2509.05419 · arxiv_version: 2509.05419v1 · doi: 10.48550/arxiv.2509.05419 · pith_short_12: GXATX7LPS5YI · pith_short_16: GXATX7LPS5YIDGAL · pith_short_8: GXATX7LP

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/GXATX7LPS5YIDGALP6GGWRZQYC \
  | 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: 35c13bfd6f977081980b7f8c6b4730c0910d08e03d135e3b05bc86e5dff8935c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341beac948a87debb733ae6a5d5b2fd939324eb056db15d84fdc1f1a90f66269",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-09-05T18:02:06Z",
    "title_canon_sha256": "e91139c5f1bad5779949f657f7f5a7769ef105ba10dbf2dc05b2d4e527f48a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05419",
    "kind": "arxiv",
    "version": 1
  }
}