Pith Number

pith:XBPOWJQM

pith:2023:XBPOWJQMFORQRBUCQ2RGDCGNFE

not attested not anchored not stored refs pending

Exploring Modified Gravity: Constraints on the $\mu$ and $\Sigma$ Parametrization with WMAP, ACT, and SPT

Abra\~ao J. S. Capistrano, Eleonora Di Valentino, Rafael C. Nunes, Uendert Andrade

arxiv:2309.15781 v2 · 2023-09-27 · 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{XBPOWJQMFORQRBUCQ2RGDCGNFE}

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	2026-07-05T07:50:52.597723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85eeb260c2ba308868286a26188cd29349eeb93cf85aaab7fbae4a7609b3577

Aliases

arxiv: 2309.15781 · arxiv_version: 2309.15781v2 · doi: 10.48550/arxiv.2309.15781 · pith_short_12: XBPOWJQMFORQ · pith_short_16: XBPOWJQMFORQRBUC · pith_short_8: XBPOWJQM

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/XBPOWJQMFORQRBUCQ2RGDCGNFE \
  | 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: b85eeb260c2ba308868286a26188cd29349eeb93cf85aaab7fbae4a7609b3577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9966557893c55953650aa7347f4aed5f7729655cd953ec0c2c86bd748d3e9399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-09-27T16:55:23Z",
    "title_canon_sha256": "dd7228b09cc31081c450b3db0d53f221bc9fa76b9872eed85ab17195fe9d26d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15781",
    "kind": "arxiv",
    "version": 2
  }
}