Pith Number

pith:QX4ZJJOW

pith:2025:QX4ZJJOWOP53OFF2PIRF2ZPPVH

not attested not anchored not stored refs pending

Two-loop renormalization and running of galaxy bias

Henrique Rubira, Mathias Garny, Thomas Bakx, Zvonimir Vlah

arxiv:2507.13905 v1 · 2025-07-18 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX4ZJJOWOP53OFF2PIRF2ZPPVH}

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

2 papers in Pith

Galaxy Power Spectrum at Two-Loop Order: Implications for Weak Lensing Surveys and New Physics

Galaxy bias renormalization: Two-loop Power Spectrum, One-loop Trispectrum and Bispectrum

Receipt and verification

First computed	2026-07-05T11:39:25.268560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f994a5d673fbb714ba7a225d65efa9e8ae899739462fe252e888d21a535bc3

Aliases

arxiv: 2507.13905 · arxiv_version: 2507.13905v1 · doi: 10.48550/arxiv.2507.13905 · pith_short_12: QX4ZJJOWOP53 · pith_short_16: QX4ZJJOWOP53OFF2 · pith_short_8: QX4ZJJOW

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/QX4ZJJOWOP53OFF2PIRF2ZPPVH \
  | 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: 85f994a5d673fbb714ba7a225d65efa9e8ae899739462fe252e888d21a535bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb0c4cd8c7c12afa88544162a0729c408db636df59e692ce1ab6fc5b6f1782d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-18T13:35:35Z",
    "title_canon_sha256": "06a535cf4a135e530dc50abb45c5f0dabe29a71b13d1f2ebc9d0e3aca3b826be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13905",
    "kind": "arxiv",
    "version": 1
  }
}