Pith Number

pith:OR54LOUL

pith:2026:OR54LOULPSQ3OUZRTBOA7U3MHU

not attested not anchored not stored refs pending

Cosmic voids evolution in modified gravity via hydrodynamics

Francesco Pace, Giovanni Verza, Noemi Frusciante, Tommaso Moretti

arxiv:2602.17644 v2 · 2026-02-19 · 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{OR54LOULPSQ3OUZRTBOA7U3MHU}

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	2026-07-22T01:23:37.248792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747bc5ba8b7ca1b75331985c0fd36c3d27f13f71773fdd2a3e672f008d649915

Aliases

arxiv: 2602.17644 · arxiv_version: 2602.17644v2 · doi: 10.48550/arxiv.2602.17644 · pith_short_12: OR54LOULPSQ3 · pith_short_16: OR54LOULPSQ3OUZR · pith_short_8: OR54LOUL

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/OR54LOULPSQ3OUZRTBOA7U3MHU \
  | 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: 747bc5ba8b7ca1b75331985c0fd36c3d27f13f71773fdd2a3e672f008d649915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345c9b0eeedf30ba1c474d21ff1349c9c74d4b6807bbac5119da1dc6a6963ad3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-02-19T18:54:23Z",
    "title_canon_sha256": "36fcc08cc19c70194ad6e8b52f3cd8f4effb29fc56655a290cda9664bb4b2ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.17644",
    "kind": "arxiv",
    "version": 2
  }
}