Pith Number

pith:XXU4ML6Z

pith:2026:XXU4ML6ZE56B3FQGZTFVF6GLWW

not attested not anchored not stored refs pending

Exploring Hu-Sawicki-like modified gravity with Genetic Algorithms

Chiara De Leo, Elisa Fazzari, Matteo Martinelli, Savvas Nesseris

arxiv:2607.12745 v1 · 2026-07-14 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXU4ML6ZE56B3FQGZTFVF6GLWW}

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	2026-07-15T01:22:15.561158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde9c62fd9277c1d9606cccb52f8cbb5b7654590717b5958ea64f6adaa84186c

Aliases

arxiv: 2607.12745 · arxiv_version: 2607.12745v1 · doi: 10.48550/arxiv.2607.12745 · pith_short_12: XXU4ML6ZE56B · pith_short_16: XXU4ML6ZE56B3FQG · pith_short_8: XXU4ML6Z

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/XXU4ML6ZE56B3FQGZTFVF6GLWW \
  | 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: bde9c62fd9277c1d9606cccb52f8cbb5b7654590717b5958ea64f6adaa84186c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10cc25f1b87bb4dc2d7324915712f29435c9dcd6d96584cfb32100b11c90b687",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-14T13:16:01Z",
    "title_canon_sha256": "f875dc8829192a528139206656d7cfe73a06100a4cb2dbb2ce1e5f55a936eab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12745",
    "kind": "arxiv",
    "version": 1
  }
}