Pith Number

pith:AN6R5U6O

pith:2025:AN6R5U6ODMG5SYWFS4E3YELKOW

not attested not anchored not stored refs pending

Unified Lagrangian Framework for Galaxy Clustering: Consistent Modeling of Bias, Redshift-Space Distortions, and Reconstruction

Naonori Sugiyama

arxiv:2508.17331 v2 · 2025-08-24 · 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{AN6R5U6ODMG5SYWFS4E3YELKOW}

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	2026-07-05T12:05:20.465490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037d1ed3ce1b0dd962c59709bc116a75ad519f6818280af6f8e874954106ddeb

Aliases

arxiv: 2508.17331 · arxiv_version: 2508.17331v2 · doi: 10.48550/arxiv.2508.17331 · pith_short_12: AN6R5U6ODMG5 · pith_short_16: AN6R5U6ODMG5SYWF · pith_short_8: AN6R5U6O

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/AN6R5U6ODMG5SYWFS4E3YELKOW \
  | 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: 037d1ed3ce1b0dd962c59709bc116a75ad519f6818280af6f8e874954106ddeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ca81279bffed05c4f35d67cce27b7bdb62fd8419c86a7c80e02437f77fba15",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-08-24T12:37:57Z",
    "title_canon_sha256": "5a60d998efcbf7099f8659c4e99897f676921a01bca04ae96a39210742eb6d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17331",
    "kind": "arxiv",
    "version": 2
  }
}